id	sid	tid	token	lemma	pos
ddj-78	1	1	dna	dna	PROPN
ddj-78	1	2	decipher	decipher	PROPN
ddj-78	1	3	journal	journal	PROPN
ddj-78	1	4	|	|	ADV
ddj-78	1	5	october	october	PROPN
ddj-78	1	6	2014	2014	NUM
ddj-78	1	7	|	|	ADV
ddj-78	1	8	volume	volume	NOUN
ddj-78	1	9	4	4	NUM
ddj-78	1	10	|	|	NOUN
ddj-78	1	11	issue	issue	VERB
ddj-78	1	12	2	2	NUM
ddj-78	1	13	|	|	CCONJ
ddj-78	1	14	pp	pp	ADJ
ddj-78	1	15	.	.	PUNCT
ddj-78	2	1	141	141	NUM
ddj-78	2	2	-	-	SYM
ddj-78	2	3	160	160	NUM
ddj-78	2	4	141	141	NUM
ddj-78	2	5	pitkänen	pitkänen	NOUN
ddj-78	2	6	,	,	PUNCT
ddj-78	2	7	m.	m.	NOUN
ddj-78	2	8	pythagoras	pythagoras	PROPN
ddj-78	2	9	,	,	PUNCT
ddj-78	2	10	music	music	NOUN
ddj-78	2	11	,	,	PUNCT
ddj-78	2	12	sacred	sacred	ADJ
ddj-78	2	13	geometry	geometry	NOUN
ddj-78	2	14	and	and	CCONJ
ddj-78	2	15	genetic	genetic	ADJ
ddj-78	2	16	code	code	NOUN
ddj-78	2	17	article	article	NOUN
ddj-78	2	18	pythagoras	pythagoras	PROPN
ddj-78	2	19	,	,	PUNCT
ddj-78	2	20	music	music	NOUN
ddj-78	2	21	,	,	PUNCT
ddj-78	2	22	sacred	sacred	ADJ
ddj-78	2	23	geometry	geometry	NOUN
ddj-78	2	24	and	and	CCONJ
ddj-78	2	25	genetic	genetic	ADJ
ddj-78	2	26	code	code	NOUN
ddj-78	2	27	matti	matti	PROPN
ddj-78	2	28	pitkänen	pitkänen	PROPN
ddj-78	2	29	1	1	NUM
ddj-78	2	30	abstract	abstract	NOUN
ddj-78	2	31	a	a	DET
ddj-78	2	32	given	give	VERB
ddj-78	2	33	triangle	triangle	NOUN
ddj-78	2	34	of	of	ADP
ddj-78	2	35	icosahedron	icosahedron	X
ddj-78	2	36	can	can	AUX
ddj-78	2	37	contain	contain	VERB
ddj-78	2	38	0	0	NUM
ddj-78	2	39	,	,	PUNCT
ddj-78	2	40	1	1	NUM
ddj-78	2	41	or	or	CCONJ
ddj-78	2	42	2	2	NUM
ddj-78	2	43	edges	edge	NOUN
ddj-78	2	44	of	of	ADP
ddj-78	2	45	the	the	DET
ddj-78	2	46	cycle	cycle	NOUN
ddj-78	2	47	and	and	CCONJ
ddj-78	2	48	the	the	DET
ddj-78	2	49	numbers	number	NOUN
ddj-78	2	50	of	of	ADP
ddj-78	2	51	the	the	DET
ddj-78	2	52	triangles	triangle	NOUN
ddj-78	2	53	corresponding	correspond	VERB
ddj-78	2	54	to	to	ADP
ddj-78	2	55	these	these	DET
ddj-78	2	56	triangle	triangle	NOUN
ddj-78	2	57	types	type	NOUN
ddj-78	2	58	classify	classify	VERB
ddj-78	2	59	partially	partially	ADV
ddj-78	2	60	the	the	DET
ddj-78	2	61	notion	notion	NOUN
ddj-78	2	62	of	of	ADP
ddj-78	2	63	harmony	harmony	NOUN
ddj-78	2	64	characterized	characterize	VERB
ddj-78	2	65	by	by	ADP
ddj-78	2	66	the	the	DET
ddj-78	2	67	cycle	cycle	NOUN
ddj-78	2	68	.	.	PUNCT
ddj-78	3	1	quint	quint	NOUN
ddj-78	3	2	cycle	cycle	NOUN
ddj-78	3	3	suggests	suggest	VERB
ddj-78	3	4	the	the	DET
ddj-78	3	5	identification	identification	NOUN
ddj-78	3	6	for	for	ADP
ddj-78	3	7	the	the	DET
ddj-78	3	8	single	single	ADJ
ddj-78	3	9	edge	edge	NOUN
ddj-78	3	10	of	of	ADP
ddj-78	3	11	curve	curve	NOUN
ddj-78	3	12	as	as	ADP
ddj-78	3	13	quint	quint	NOUN
ddj-78	3	14	interval	interval	NOUN
ddj-78	3	15	so	so	SCONJ
ddj-78	3	16	that	that	SCONJ
ddj-78	3	17	triangles	triangle	NOUN
ddj-78	3	18	would	would	AUX
ddj-78	3	19	represent	represent	VERB
ddj-78	3	20	basic	basic	ADJ
ddj-78	3	21	3	3	NUM
ddj-78	3	22	-	-	PUNCT
ddj-78	3	23	chords	chord	NOUN
ddj-78	3	24	of	of	ADP
ddj-78	3	25	the	the	DET
ddj-78	3	26	harmony	harmony	NOUN
ddj-78	3	27	with	with	ADP
ddj-78	3	28	0,1	0,1	NUM
ddj-78	3	29	,	,	PUNCT
ddj-78	3	30	or	or	CCONJ
ddj-78	3	31	2	2	NUM
ddj-78	3	32	quints	quint	NOUN
ddj-78	3	33	.	.	PUNCT
ddj-78	4	1	octahedron	octahedron	NOUN
ddj-78	4	2	and	and	CCONJ
ddj-78	4	3	cube	cube	NOUN
ddj-78	4	4	which	which	PRON
ddj-78	4	5	are	be	AUX
ddj-78	4	6	duals	dual	NOUN
ddj-78	4	7	of	of	ADP
ddj-78	4	8	each	each	DET
ddj-78	4	9	other	other	ADJ
ddj-78	4	10	and	and	CCONJ
ddj-78	4	11	have	have	VERB
ddj-78	4	12	6	6	NUM
ddj-78	4	13	and	and	CCONJ
ddj-78	4	14	8	8	NUM
ddj-78	4	15	vertices	vertex	NOUN
ddj-78	4	16	respectively	respectively	ADV
ddj-78	4	17	,	,	PUNCT
ddj-78	4	18	and	and	CCONJ
ddj-78	4	19	dodecahedron	dodecahedron	NOUN
ddj-78	4	20	which	which	PRON
ddj-78	4	21	is	be	AUX
ddj-78	4	22	dual	dual	ADJ
ddj-78	4	23	of	of	ADP
ddj-78	4	24	icosahedron	icosahedron	PROPN
ddj-78	4	25	having	have	VERB
ddj-78	4	26	20	20	NUM
ddj-78	4	27	vertices	vertex	NOUN
ddj-78	4	28	and	and	CCONJ
ddj-78	4	29	12	12	NUM
ddj-78	4	30	faces	face	NOUN
ddj-78	4	31	.	.	PUNCT
ddj-78	5	1	arabic	arabic	ADJ
ddj-78	5	2	music	music	NOUN
ddj-78	5	3	uses	use	VERB
ddj-78	5	4	half	half	NOUN
ddj-78	5	5	intervals	interval	NOUN
ddj-78	5	6	and	and	CCONJ
ddj-78	5	7	scales	scale	NOUN
ddj-78	5	8	with	with	ADP
ddj-78	5	9	19	19	NUM
ddj-78	5	10	and	and	CCONJ
ddj-78	5	11	24	24	NUM
ddj-78	5	12	notes	note	NOUN
ddj-78	5	13	are	be	AUX
ddj-78	5	14	used	use	VERB
ddj-78	5	15	.	.	PUNCT
ddj-78	6	1	could	could	AUX
ddj-78	6	2	20	20	NUM
ddj-78	6	3	-	-	PUNCT
ddj-78	6	4	note	note	NOUN
ddj-78	6	5	scale	scale	NOUN
ddj-78	6	6	with	with	ADP
ddj-78	6	7	harmony	harmony	NOUN
ddj-78	6	8	defined	define	VERB
ddj-78	6	9	by	by	ADP
ddj-78	6	10	5	5	NUM
ddj-78	6	11	-	-	PUNCT
ddj-78	6	12	chords	chord	NOUN
ddj-78	6	13	assigned	assign	VERB
ddj-78	6	14	to	to	ADP
ddj-78	6	15	the	the	DET
ddj-78	6	16	pentagons	pentagon	NOUN
ddj-78	6	17	of	of	ADP
ddj-78	6	18	dodecahedron	dodecahedron	NOUN
ddj-78	6	19	have	have	VERB
ddj-78	6	20	some	some	DET
ddj-78	6	21	aesthetic	aesthetic	ADJ
ddj-78	6	22	appeal	appeal	NOUN
ddj-78	6	23	?	?	PUNCT
ddj-78	7	1	the	the	DET
ddj-78	7	2	combination	combination	NOUN
ddj-78	7	3	of	of	ADP
ddj-78	7	4	this	this	DET
ddj-78	7	5	idea	idea	NOUN
ddj-78	7	6	with	with	ADP
ddj-78	7	7	the	the	DET
ddj-78	7	8	idea	idea	NOUN
ddj-78	7	9	of	of	ADP
ddj-78	7	10	mapping	map	VERB
ddj-78	7	11	12	12	NUM
ddj-78	7	12	-	-	PUNCT
ddj-78	7	13	tone	tone	NOUN
ddj-78	7	14	scale	scale	NOUN
ddj-78	7	15	to	to	ADP
ddj-78	7	16	a	a	DET
ddj-78	7	17	hamiltonian	hamiltonian	ADJ
ddj-78	7	18	cycle	cycle	NOUN
ddj-78	7	19	at	at	ADP
ddj-78	7	20	icosahedron	icosahedron	PROPN
ddj-78	7	21	leads	lead	NOUN
ddj-78	7	22	to	to	ADP
ddj-78	7	23	the	the	DET
ddj-78	7	24	question	question	NOUN
ddj-78	7	25	whether	whether	SCONJ
ddj-78	7	26	aminoacids	aminoacid	NOUN
ddj-78	7	27	could	could	AUX
ddj-78	7	28	be	be	AUX
ddj-78	7	29	assigned	assign	VERB
ddj-78	7	30	with	with	ADP
ddj-78	7	31	the	the	DET
ddj-78	7	32	equivalence	equivalence	NOUN
ddj-78	7	33	class	class	NOUN
ddj-78	7	34	of	of	ADP
ddj-78	7	35	hamiltonian	hamiltonian	ADJ
ddj-78	7	36	cycles	cycle	NOUN
ddj-78	7	37	under	under	ADP
ddj-78	7	38	icosahedral	icosahedral	ADJ
ddj-78	7	39	group	group	NOUN
ddj-78	7	40	and	and	CCONJ
ddj-78	7	41	whether	whether	SCONJ
ddj-78	7	42	the	the	DET
ddj-78	7	43	geometric	geometric	ADJ
ddj-78	7	44	shape	shape	NOUN
ddj-78	7	45	of	of	ADP
ddj-78	7	46	cycle	cycle	NOUN
ddj-78	7	47	could	could	AUX
ddj-78	7	48	correspond	correspond	VERB
ddj-78	7	49	to	to	ADP
ddj-78	7	50	physical	physical	ADJ
ddj-78	7	51	properties	property	NOUN
ddj-78	7	52	of	of	ADP
ddj-78	7	53	amino	amino	NOUN
ddj-78	7	54	-	-	PUNCT
ddj-78	7	55	acids	acid	NOUN
ddj-78	7	56	.	.	PUNCT
ddj-78	8	1	the	the	DET
ddj-78	8	2	identification	identification	NOUN
ddj-78	8	3	of	of	ADP
ddj-78	8	4	3	3	NUM
ddj-78	8	5	basic	basic	ADJ
ddj-78	8	6	polar	polar	ADJ
ddj-78	8	7	amino	amino	NOUN
ddj-78	8	8	-	-	PUNCT
ddj-78	8	9	acids	acid	NOUN
ddj-78	8	10	with	with	ADP
ddj-78	8	11	triangles	triangle	NOUN
ddj-78	8	12	containing	contain	VERB
ddj-78	8	13	no	no	DET
ddj-78	8	14	edges	edge	NOUN
ddj-78	8	15	of	of	ADP
ddj-78	8	16	the	the	DET
ddj-78	8	17	scale	scale	NOUN
ddj-78	8	18	path	path	NOUN
ddj-78	8	19	,	,	PUNCT
ddj-78	8	20	7	7	NUM
ddj-78	8	21	polar	polar	ADJ
ddj-78	8	22	and	and	CCONJ
ddj-78	8	23	acidic	acidic	ADJ
ddj-78	8	24	polar	polar	ADJ
ddj-78	8	25	amino	amino	NOUN
ddj-78	8	26	-	-	PUNCT
ddj-78	8	27	acids	acid	NOUN
ddj-78	8	28	with	with	ADP
ddj-78	8	29	those	those	PRON
ddj-78	8	30	containing	contain	VERB
ddj-78	8	31	2	2	NUM
ddj-78	8	32	edges	edge	NOUN
ddj-78	8	33	of	of	ADP
ddj-78	8	34	the	the	DET
ddj-78	8	35	scale	scale	NOUN
ddj-78	8	36	path	path	NOUN
ddj-78	8	37	,	,	PUNCT
ddj-78	8	38	and	and	CCONJ
ddj-78	8	39	10	10	NUM
ddj-78	8	40	non	non	ADJ
ddj-78	8	41	-	-	ADJ
ddj-78	8	42	polar	polar	ADJ
ddj-78	8	43	amino	amino	NOUN
ddj-78	8	44	-	-	PUNCT
ddj-78	8	45	acids	acid	NOUN
ddj-78	8	46	with	with	ADP
ddj-78	8	47	triangles	triangle	NOUN
ddj-78	8	48	containing	contain	VERB
ddj-78	8	49	1	1	NUM
ddj-78	8	50	edge	edge	NOUN
ddj-78	8	51	on	on	ADP
ddj-78	8	52	the	the	DET
ddj-78	8	53	scale	scale	NOUN
ddj-78	8	54	path	path	NOUN
ddj-78	8	55	is	be	AUX
ddj-78	8	56	what	what	PRON
ddj-78	8	57	comes	come	VERB
ddj-78	8	58	first	first	ADV
ddj-78	8	59	in	in	ADP
ddj-78	8	60	mind	mind	NOUN
ddj-78	8	61	.	.	PUNCT
ddj-78	9	1	the	the	DET
ddj-78	9	2	number	number	NOUN
ddj-78	9	3	of	of	ADP
ddj-78	9	4	dnas	dna	NOUN
ddj-78	9	5	coding	code	VERB
ddj-78	9	6	for	for	ADP
ddj-78	9	7	a	a	DET
ddj-78	9	8	given	give	VERB
ddj-78	9	9	amino	amino	NOUN
ddj-78	9	10	-	-	PUNCT
ddj-78	9	11	acid	acid	NOUN
ddj-78	9	12	could	could	AUX
ddj-78	9	13	be	be	AUX
ddj-78	9	14	also	also	ADV
ddj-78	9	15	seen	see	VERB
ddj-78	9	16	as	as	ADP
ddj-78	9	17	such	such	DET
ddj-78	9	18	a	a	DET
ddj-78	9	19	physical	physical	ADJ
ddj-78	9	20	property	property	NOUN
ddj-78	9	21	.	.	PUNCT
ddj-78	10	1	the	the	DET
ddj-78	10	2	model	model	NOUN
ddj-78	10	3	for	for	ADP
ddj-78	10	4	dark	dark	ADJ
ddj-78	10	5	nucleons	nucleon	NOUN
ddj-78	10	6	leads	lead	VERB
ddj-78	10	7	to	to	ADP
ddj-78	10	8	the	the	DET
ddj-78	10	9	vertebrate	vertebrate	ADJ
ddj-78	10	10	genetic	genetic	ADJ
ddj-78	10	11	code	code	NOUN
ddj-78	10	12	with	with	ADP
ddj-78	10	13	correct	correct	ADJ
ddj-78	10	14	numbers	number	NOUN
ddj-78	10	15	of	of	ADP
ddj-78	10	16	dnas	dna	NOUN
ddj-78	10	17	coding	code	VERB
ddj-78	10	18	for	for	ADP
ddj-78	10	19	amino	amino	NOUN
ddj-78	10	20	-	-	PUNCT
ddj-78	10	21	acids	acid	NOUN
ddj-78	10	22	.	.	PUNCT
ddj-78	11	1	the	the	DET
ddj-78	11	2	treatment	treatment	NOUN
ddj-78	11	3	of	of	ADP
ddj-78	11	4	the	the	DET
ddj-78	11	5	remaining	remain	VERB
ddj-78	11	6	4	4	NUM
ddj-78	11	7	codons	codon	NOUN
ddj-78	11	8	and	and	CCONJ
ddj-78	11	9	of	of	ADP
ddj-78	11	10	the	the	DET
ddj-78	11	11	well	well	ADV
ddj-78	11	12	-	-	PUNCT
ddj-78	11	13	known	know	VERB
ddj-78	11	14	21st	21st	ADJ
ddj-78	11	15	and	and	CCONJ
ddj-78	11	16	22nd	22nd	NOUN
ddj-78	11	17	aminoacids	aminoacid	NOUN
ddj-78	11	18	requires	require	VERB
ddj-78	11	19	the	the	DET
ddj-78	11	20	fusion	fusion	NOUN
ddj-78	11	21	of	of	ADP
ddj-78	11	22	icosahedral	icosahedral	ADJ
ddj-78	11	23	code	code	NOUN
ddj-78	11	24	with	with	ADP
ddj-78	11	25	tetrahedral	tetrahedral	ADJ
ddj-78	11	26	code	code	NOUN
ddj-78	11	27	represented	represent	VERB
ddj-78	11	28	geometrically	geometrically	ADV
ddj-78	11	29	as	as	ADP
ddj-78	11	30	fusion	fusion	NOUN
ddj-78	11	31	of	of	ADP
ddj-78	11	32	icosahedron	icosahedron	NOUN
ddj-78	11	33	and	and	CCONJ
ddj-78	11	34	tetrahedron	tetrahedron	NOUN
ddj-78	11	35	along	along	ADP
ddj-78	11	36	common	common	ADJ
ddj-78	11	37	face	face	NOUN
ddj-78	11	38	which	which	PRON
ddj-78	11	39	has	have	VERB
ddj-78	11	40	empty	empty	ADJ
ddj-78	11	41	interior	interior	NOUN
ddj-78	11	42	and	and	CCONJ
ddj-78	11	43	is	be	AUX
ddj-78	11	44	interpreted	interpret	VERB
ddj-78	11	45	as	as	ADP
ddj-78	11	46	”	"	PUNCT
ddj-78	11	47	empty	empty	ADJ
ddj-78	11	48	”	"	PUNCT
ddj-78	11	49	amino	amino	NOUN
ddj-78	11	50	-	-	PUNCT
ddj-78	11	51	acid	acid	NOUN
ddj-78	11	52	coded	code	VERB
ddj-78	11	53	by	by	ADP
ddj-78	11	54	stopping	stop	VERB
ddj-78	11	55	codons	codon	NOUN
ddj-78	11	56	.	.	PUNCT
ddj-78	12	1	in	in	ADP
ddj-78	12	2	this	this	DET
ddj-78	12	3	manner	manner	NOUN
ddj-78	12	4	one	one	PRON
ddj-78	12	5	can	can	AUX
ddj-78	12	6	satisfy	satisfy	VERB
ddj-78	12	7	the	the	DET
ddj-78	12	8	constraints	constraint	NOUN
ddj-78	12	9	on	on	ADP
ddj-78	12	10	the	the	DET
ddj-78	12	11	hamiltonian	hamiltonian	ADJ
ddj-78	12	12	cycles	cycle	NOUN
ddj-78	12	13	,	,	PUNCT
ddj-78	12	14	and	and	CCONJ
ddj-78	12	15	construct	construct	VERB
ddj-78	12	16	explicitly	explicitly	ADV
ddj-78	12	17	the	the	DET
ddj-78	12	18	icosahedral	icosahedral	ADJ
ddj-78	12	19	hamiltonian	hamiltonian	ADJ
ddj-78	12	20	cycle	cycle	NOUN
ddj-78	12	21	as	as	ADP
ddj-78	12	22	(	(	PUNCT
ddj-78	12	23	4,8,8	4,8,8	NUM
ddj-78	12	24	)	)	PUNCT
ddj-78	12	25	cycle	cycle	NOUN
ddj-78	12	26	whose	whose	DET
ddj-78	12	27	unique	unique	ADJ
ddj-78	12	28	modification	modification	NOUN
ddj-78	12	29	gives	give	VERB
ddj-78	12	30	(	(	PUNCT
ddj-78	12	31	4,11,7	4,11,7	NUM
ddj-78	12	32	)	)	PUNCT
ddj-78	12	33	icosa	icosa	NOUN
ddj-78	12	34	-	-	PUNCT
ddj-78	12	35	tetrahedral	tetrahedral	ADJ
ddj-78	12	36	cycle	cycle	NOUN
ddj-78	12	37	.	.	PUNCT
ddj-78	13	1	1	1	NUM
ddj-78	13	2	introduction	introduction	NOUN
ddj-78	13	3	the	the	DET
ddj-78	13	4	conscious	conscious	ADJ
ddj-78	13	5	experiences	experience	NOUN
ddj-78	13	6	generated	generate	VERB
ddj-78	13	7	by	by	ADP
ddj-78	13	8	music	music	NOUN
ddj-78	13	9	demonstrate	demonstrate	VERB
ddj-78	13	10	a	a	DET
ddj-78	13	11	fascinating	fascinating	ADJ
ddj-78	13	12	connection	connection	NOUN
ddj-78	13	13	between	between	ADP
ddj-78	13	14	algebra	algebra	NOUN
ddj-78	13	15	and	and	CCONJ
ddj-78	13	16	emotions	emotion	NOUN
ddj-78	13	17	.	.	PUNCT
ddj-78	14	1	how	how	SCONJ
ddj-78	14	2	can	can	AUX
ddj-78	14	3	major	major	ADJ
ddj-78	14	4	and	and	CCONJ
ddj-78	14	5	minor	minor	ADJ
ddj-78	14	6	scale	scale	NOUN
ddj-78	14	7	using	use	VERB
ddj-78	14	8	different	different	ADJ
ddj-78	14	9	frequency	frequency	NOUN
ddj-78	14	10	ratios	ratio	NOUN
ddj-78	14	11	generate	generate	VERB
ddj-78	14	12	so	so	ADV
ddj-78	14	13	different	different	ADJ
ddj-78	14	14	emotional	emotional	ADJ
ddj-78	14	15	experiences	experience	NOUN
ddj-78	14	16	.	.	PUNCT
ddj-78	15	1	this	this	PRON
ddj-78	15	2	strongly	strongly	ADV
ddj-78	15	3	suggests	suggest	VERB
ddj-78	15	4	the	the	PRON
ddj-78	15	5	we	we	PRON
ddj-78	15	6	experience	experience	VERB
ddj-78	15	7	music	music	NOUN
ddj-78	15	8	as	as	ADP
ddj-78	15	9	entire	entire	ADJ
ddj-78	15	10	time	time	NOUN
ddj-78	15	11	interval	interval	NOUN
ddj-78	15	12	,	,	PUNCT
ddj-78	15	13	4	4	NUM
ddj-78	15	14	-	-	SYM
ddj-78	15	15	d	d	NOUN
ddj-78	15	16	patterns	pattern	NOUN
ddj-78	15	17	rather	rather	ADV
ddj-78	15	18	than	than	ADP
ddj-78	15	19	time	time	NOUN
ddj-78	15	20	=	=	NOUN
ddj-78	15	21	constant	constant	ADJ
ddj-78	15	22	snapshots	snapshot	NOUN
ddj-78	15	23	.	.	PUNCT
ddj-78	16	1	also	also	ADV
ddj-78	16	2	the	the	DET
ddj-78	16	3	ability	ability	NOUN
ddj-78	16	4	remember	remember	VERB
ddj-78	16	5	the	the	DET
ddj-78	16	6	key	key	NOUN
ddj-78	16	7	and	and	CCONJ
ddj-78	16	8	the	the	DET
ddj-78	16	9	tension	tension	NOUN
ddj-78	16	10	lasting	last	VERB
ddj-78	16	11	as	as	ADV
ddj-78	16	12	long	long	ADV
ddj-78	16	13	as	as	SCONJ
ddj-78	16	14	the	the	DET
ddj-78	16	15	return	return	NOUN
ddj-78	16	16	to	to	ADP
ddj-78	16	17	the	the	DET
ddj-78	16	18	basic	basic	ADJ
ddj-78	16	19	key	key	NOUN
ddj-78	16	20	has	have	AUX
ddj-78	16	21	not	not	PART
ddj-78	16	22	taken	take	VERB
ddj-78	16	23	place	place	NOUN
ddj-78	16	24	,	,	PUNCT
ddj-78	16	25	is	be	AUX
ddj-78	16	26	example	example	NOUN
ddj-78	16	27	of	of	ADP
ddj-78	16	28	this	this	PRON
ddj-78	16	29	.	.	PUNCT
ddj-78	17	1	one	one	NUM
ddj-78	17	2	of	of	ADP
ddj-78	17	3	the	the	DET
ddj-78	17	4	key	key	ADJ
ddj-78	17	5	questions	question	NOUN
ddj-78	17	6	is	be	AUX
ddj-78	17	7	why	why	SCONJ
ddj-78	17	8	octaves	octave	NOUN
ddj-78	17	9	that	that	PRON
ddj-78	17	10	is	be	AUX
ddj-78	17	11	powers	power	NOUN
ddj-78	17	12	of	of	ADP
ddj-78	17	13	2	2	NUM
ddj-78	17	14	of	of	ADP
ddj-78	17	15	the	the	DET
ddj-78	17	16	basic	basic	ADJ
ddj-78	17	17	note	note	NOUN
ddj-78	17	18	of	of	ADP
ddj-78	17	19	the	the	DET
ddj-78	17	20	scale	scale	NOUN
ddj-78	17	21	are	be	AUX
ddj-78	17	22	experienced	experience	VERB
ddj-78	17	23	as	as	ADP
ddj-78	17	24	equivalent	equivalent	ADJ
ddj-78	17	25	?	?	PUNCT
ddj-78	18	1	one	one	PRON
ddj-78	18	2	can	can	AUX
ddj-78	18	3	also	also	ADV
ddj-78	18	4	wonder	wonder	VERB
ddj-78	18	5	what	what	PRON
ddj-78	18	6	is	be	AUX
ddj-78	18	7	behind	behind	ADP
ddj-78	18	8	consonance	consonance	NOUN
ddj-78	18	9	and	and	CCONJ
ddj-78	18	10	dissonance	dissonance	NOUN
ddj-78	18	11	.	.	PUNCT
ddj-78	19	1	i	i	PRON
ddj-78	19	2	have	have	AUX
ddj-78	19	3	already	already	ADV
ddj-78	19	4	earlier	early	ADV
ddj-78	19	5	tried	try	VERB
ddj-78	19	6	to	to	PART
ddj-78	19	7	understand	understand	VERB
ddj-78	19	8	music	music	NOUN
ddj-78	19	9	experience	experience	NOUN
ddj-78	19	10	and	and	CCONJ
ddj-78	19	11	considered	consider	VERB
ddj-78	19	12	some	some	DET
ddj-78	19	13	ideas	idea	NOUN
ddj-78	19	14	inspired	inspire	VERB
ddj-78	19	15	by	by	ADP
ddj-78	19	16	p	p	ADJ
ddj-78	19	17	-	-	PUNCT
ddj-78	19	18	adic	adic	ADJ
ddj-78	19	19	numbers	number	NOUN
ddj-78	19	20	fields	field	NOUN
ddj-78	19	21	such	such	ADJ
ddj-78	19	22	as	as	ADP
ddj-78	19	23	the	the	DET
ddj-78	19	24	idea	idea	NOUN
ddj-78	19	25	that	that	PRON
ddj-78	19	26	pythagorean	pythagorean	PROPN
ddj-78	19	27	scale	scale	NOUN
ddj-78	19	28	coming	come	VERB
ddj-78	19	29	as	as	ADP
ddj-78	19	30	powers	power	NOUN
ddj-78	19	31	of	of	ADP
ddj-78	19	32	3	3	NUM
ddj-78	19	33	for	for	ADP
ddj-78	19	34	the	the	DET
ddj-78	19	35	basic	basic	ADJ
ddj-78	19	36	note	note	NOUN
ddj-78	19	37	modulo	modulo	NOUN
ddj-78	19	38	octave	octave	NOUN
ddj-78	19	39	equivalence	equivalence	NOUN
ddj-78	19	40	might	might	AUX
ddj-78	19	41	relate	relate	VERB
ddj-78	19	42	to	to	ADP
ddj-78	19	43	3	3	NUM
ddj-78	19	44	-	-	PUNCT
ddj-78	19	45	adicity	adicity	NOUN
ddj-78	19	46	.	.	PUNCT
ddj-78	20	1	reading	reading	NOUN
ddj-78	20	2	of	of	ADP
ddj-78	20	3	a	a	DET
ddj-78	20	4	book	book	NOUN
ddj-78	20	5	titled	title	VERB
ddj-78	20	6	”	"	PUNCT
ddj-78	20	7	interference	interference	NOUN
ddj-78	20	8	:	:	PUNCT
ddj-78	20	9	a	a	DET
ddj-78	20	10	grand	grand	ADJ
ddj-78	20	11	scientific	scientific	ADJ
ddj-78	20	12	musical	musical	ADJ
ddj-78	20	13	theory	theory	NOUN
ddj-78	20	14	”	"	PUNCT
ddj-78	20	15	by	by	ADP
ddj-78	20	16	richard	richard	PROPN
ddj-78	20	17	merrick	merrick	PROPN
ddj-78	20	18	[	[	X
ddj-78	20	19	6	6	NUM
ddj-78	20	20	]	]	PUNCT
ddj-78	20	21	freely	freely	ADV
ddj-78	20	22	available	available	ADJ
ddj-78	20	23	in	in	ADP
ddj-78	20	24	web	web	NOUN
ddj-78	20	25	(	(	PUNCT
ddj-78	20	26	http://interferencetheory	http://interferencetheory	NOUN
ddj-78	20	27	.	.	PUNCT
ddj-78	20	28	com	com	NOUN
ddj-78	20	29	/	/	SYM
ddj-78	20	30	files	file	NOUN
ddj-78	20	31	/	/	SYM
ddj-78	20	32	interference.pdf	interference.pdf	NOUN
ddj-78	20	33	)	)	PUNCT
ddj-78	20	34	re	re	VERB
ddj-78	20	35	-	-	VERB
ddj-78	20	36	stimulated	stimulate	VERB
ddj-78	20	37	my	my	PRON
ddj-78	20	38	interest	interest	NOUN
ddj-78	20	39	.	.	PUNCT
ddj-78	21	1	in	in	ADP
ddj-78	21	2	particular	particular	ADJ
ddj-78	21	3	,	,	PUNCT
ddj-78	21	4	i	i	PRON
ddj-78	21	5	found	find	VERB
ddj-78	21	6	the	the	DET
ddj-78	21	7	idea	idea	NOUN
ddj-78	21	8	about	about	ADP
ddj-78	21	9	a	a	DET
ddj-78	21	10	connection	connection	NOUN
ddj-78	21	11	between	between	ADP
ddj-78	21	12	music	music	NOUN
ddj-78	21	13	scale	scale	NOUN
ddj-78	21	14	and	and	CCONJ
ddj-78	21	15	harmonies	harmony	NOUN
ddj-78	21	16	with	with	ADP
ddj-78	21	17	platonic	platonic	ADJ
ddj-78	21	18	solids	solid	NOUN
ddj-78	21	19	(	(	PUNCT
ddj-78	21	20	3	3	NUM
ddj-78	21	21	-	-	SYM
ddj-78	21	22	d	d	ADJ
ddj-78	21	23	”	"	PUNCT
ddj-78	21	24	sacred	sacred	ADJ
ddj-78	21	25	geometry	geometry	NOUN
ddj-78	21	26	”	"	PUNCT
ddj-78	21	27	)	)	PUNCT
ddj-78	21	28	as	as	ADP
ddj-78	21	29	highly	highly	ADV
ddj-78	21	30	inspiring	inspiring	ADJ
ddj-78	21	31	.	.	PUNCT
ddj-78	22	1	the	the	DET
ddj-78	22	2	basic	basic	ADJ
ddj-78	22	3	question	question	NOUN
ddj-78	22	4	was	be	AUX
ddj-78	22	5	whether	whether	SCONJ
ddj-78	22	6	the	the	DET
ddj-78	22	7	12	12	NUM
ddj-78	22	8	-	-	PUNCT
ddj-78	22	9	tone	tone	NOUN
ddj-78	22	10	scale	scale	NOUN
ddj-78	22	11	could	could	AUX
ddj-78	22	12	be	be	AUX
ddj-78	22	13	mapped	map	VERB
ddj-78	22	14	to	to	ADP
ddj-78	22	15	a	a	DET
ddj-78	22	16	curve	curve	NOUN
ddj-78	22	17	going	go	VERB
ddj-78	22	18	once	once	ADV
ddj-78	22	19	through	through	ADP
ddj-78	22	20	each	each	DET
ddj-78	22	21	point	point	NOUN
ddj-78	22	22	of	of	ADP
ddj-78	22	23	icosahedron	icosahedron	PROPN
ddj-78	22	24	having	have	VERB
ddj-78	22	25	12	12	NUM
ddj-78	22	26	vertices	vertex	NOUN
ddj-78	22	27	and	and	CCONJ
ddj-78	22	28	whether	whether	SCONJ
ddj-78	22	29	the	the	DET
ddj-78	22	30	20	20	NUM
ddj-78	22	31	faces	face	NOUN
ddj-78	22	32	of	of	ADP
ddj-78	22	33	icosahedron	icosahedron	NOUN
ddj-78	22	34	,	,	PUNCT
ddj-78	22	35	which	which	PRON
ddj-78	22	36	are	be	AUX
ddj-78	22	37	triangles	triangle	NOUN
ddj-78	22	38	could	could	AUX
ddj-78	22	39	define	define	VERB
ddj-78	22	40	the	the	DET
ddj-78	22	41	basic	basic	ADJ
ddj-78	22	42	chords	chord	NOUN
ddj-78	22	43	in	in	ADP
ddj-78	22	44	12	12	NUM
ddj-78	22	45	-	-	PUNCT
ddj-78	22	46	tone	tone	NOUN
ddj-78	22	47	scale	scale	NOUN
ddj-78	22	48	.	.	PUNCT
ddj-78	23	1	these	these	DET
ddj-78	23	2	curves	curve	NOUN
ddj-78	23	3	are	be	AUX
ddj-78	23	4	known	know	VERB
ddj-78	23	5	as	as	ADP
ddj-78	23	6	hamiltonian	hamiltonian	ADJ
ddj-78	23	7	cycles	cycle	NOUN
ddj-78	23	8	and	and	CCONJ
ddj-78	23	9	in	in	ADP
ddj-78	23	10	the	the	DET
ddj-78	23	11	case	case	NOUN
ddj-78	23	12	1correspondence	1correspondence	NUM
ddj-78	23	13	:	:	PUNCT
ddj-78	23	14	matti	matti	PROPN
ddj-78	23	15	pitkänen	pitkänen	PROPN
ddj-78	23	16	http://tgdtheory.com/.	http://tgdtheory.com/.	PROPN
ddj-78	23	17	address	address	NOUN
ddj-78	23	18	:	:	PUNCT
ddj-78	23	19	köydenpunojankatu	köydenpunojankatu	NOUN
ddj-78	23	20	2	2	NUM
ddj-78	23	21	d	d	PROPN
ddj-78	23	22	11	11	NUM
ddj-78	23	23	10940	10940	NUM
ddj-78	23	24	,	,	PUNCT
ddj-78	23	25	hanko	hanko	PROPN
ddj-78	23	26	,	,	PUNCT
ddj-78	23	27	finland	finland	PROPN
ddj-78	23	28	.	.	PUNCT
ddj-78	24	1	email	email	NOUN
ddj-78	24	2	:	:	PUNCT
ddj-78	25	1	matpitka@luukku.com	matpitka@luukku.com	X
ddj-78	25	2	.	.	PUNCT
ddj-78	26	1	isbn	isbn	PROPN
ddj-78	26	2	:	:	PUNCT
ddj-78	26	3	2159	2159	NUM
ddj-78	26	4	-	-	PUNCT
ddj-78	26	5	046x	046x	NOUN
ddj-78	26	6	dna	dna	NOUN
ddj-78	26	7	decipher	decipher	PROPN
ddj-78	26	8	journal	journal	PROPN
ddj-78	26	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	26	10	published	publish	VERB
ddj-78	26	11	by	by	ADP
ddj-78	26	12	quantumdream	quantumdream	PROPN
ddj-78	26	13	,	,	PUNCT
ddj-78	26	14	inc	inc	PROPN
ddj-78	26	15	.	.	PROPN
ddj-78	26	16	http://interferencetheory.com/files/interference.pdf	http://interferencetheory.com/files/interference.pdf	PROPN
ddj-78	26	17	http://interferencetheory.com/files/interference.pdf	http://interferencetheory.com/files/interference.pdf	PROPN
ddj-78	26	18	http://tgdtheory.com/	http://tgdtheory.com/	NOUN
ddj-78	26	19	mailto:matpitka@luukku.com	mailto:matpitka@luukku.com	X
ddj-78	26	20	dna	dna	PROPN
ddj-78	26	21	decipher	decipher	PROPN
ddj-78	26	22	journal	journal	NOUN
ddj-78	27	1	|	|	ADV
ddj-78	27	2	october	october	PROPN
ddj-78	27	3	2014	2014	NUM
ddj-78	27	4	|	|	ADV
ddj-78	27	5	volume	volume	NOUN
ddj-78	27	6	4	4	NUM
ddj-78	27	7	|	|	NOUN
ddj-78	27	8	issue	issue	VERB
ddj-78	27	9	2	2	NUM
ddj-78	27	10	|	|	CCONJ
ddj-78	27	11	pp	pp	ADJ
ddj-78	27	12	.	.	PUNCT
ddj-78	28	1	141	141	NUM
ddj-78	28	2	-	-	SYM
ddj-78	28	3	160	160	NUM
ddj-78	28	4	142	142	NUM
ddj-78	28	5	pitkänen	pitkänen	NOUN
ddj-78	28	6	,	,	PUNCT
ddj-78	28	7	m.	m.	NOUN
ddj-78	28	8	pythagoras	pythagoras	PROPN
ddj-78	28	9	,	,	PUNCT
ddj-78	28	10	music	music	NOUN
ddj-78	28	11	,	,	PUNCT
ddj-78	28	12	sacred	sacred	ADJ
ddj-78	28	13	geometry	geometry	NOUN
ddj-78	28	14	and	and	CCONJ
ddj-78	28	15	genetic	genetic	ADJ
ddj-78	28	16	code	code	NOUN
ddj-78	28	17	of	of	ADP
ddj-78	28	18	icosahedron	icosahedron	X
ddj-78	28	19	there	there	PRON
ddj-78	28	20	are	be	VERB
ddj-78	28	21	210	210	NUM
ddj-78	28	22	of	of	ADP
ddj-78	28	23	them	they	PRON
ddj-78	28	24	:	:	PUNCT
ddj-78	28	25	those	those	PRON
ddj-78	28	26	obtained	obtain	VERB
ddj-78	28	27	from	from	ADP
ddj-78	28	28	each	each	DET
ddj-78	28	29	other	other	ADJ
ddj-78	28	30	by	by	ADP
ddj-78	28	31	rotation	rotation	NOUN
ddj-78	28	32	leaving	leave	VERB
ddj-78	28	33	icosahedron	icosahedron	ADJ
ddj-78	28	34	invariant	invariant	NOUN
ddj-78	28	35	are	be	AUX
ddj-78	28	36	however	however	ADV
ddj-78	28	37	equivalent	equivalent	ADJ
ddj-78	28	38	.	.	PUNCT
ddj-78	29	1	a	a	DET
ddj-78	29	2	given	give	VERB
ddj-78	29	3	triangle	triangle	NOUN
ddj-78	29	4	of	of	ADP
ddj-78	29	5	icosahedron	icosahedron	X
ddj-78	29	6	can	can	AUX
ddj-78	29	7	contain	contain	VERB
ddj-78	29	8	0	0	NUM
ddj-78	29	9	,	,	PUNCT
ddj-78	29	10	1	1	NUM
ddj-78	29	11	or	or	CCONJ
ddj-78	29	12	2	2	NUM
ddj-78	29	13	edges	edge	NOUN
ddj-78	29	14	of	of	ADP
ddj-78	29	15	the	the	DET
ddj-78	29	16	cycle	cycle	NOUN
ddj-78	29	17	and	and	CCONJ
ddj-78	29	18	the	the	DET
ddj-78	29	19	numbers	number	NOUN
ddj-78	29	20	of	of	ADP
ddj-78	29	21	the	the	DET
ddj-78	29	22	triangles	triangle	NOUN
ddj-78	29	23	corresponding	correspond	VERB
ddj-78	29	24	to	to	ADP
ddj-78	29	25	these	these	DET
ddj-78	29	26	triangle	triangle	NOUN
ddj-78	29	27	types	type	NOUN
ddj-78	29	28	classify	classify	VERB
ddj-78	29	29	partially	partially	ADV
ddj-78	29	30	the	the	DET
ddj-78	29	31	notion	notion	NOUN
ddj-78	29	32	of	of	ADP
ddj-78	29	33	harmony	harmony	NOUN
ddj-78	29	34	characterized	characterize	VERB
ddj-78	29	35	by	by	ADP
ddj-78	29	36	the	the	DET
ddj-78	29	37	cycle	cycle	NOUN
ddj-78	29	38	.	.	PUNCT
ddj-78	30	1	quint	quint	NOUN
ddj-78	30	2	cycle	cycle	NOUN
ddj-78	30	3	suggests	suggest	VERB
ddj-78	30	4	the	the	DET
ddj-78	30	5	identification	identification	NOUN
ddj-78	30	6	for	for	ADP
ddj-78	30	7	the	the	DET
ddj-78	30	8	single	single	ADJ
ddj-78	30	9	edge	edge	NOUN
ddj-78	30	10	of	of	ADP
ddj-78	30	11	curve	curve	NOUN
ddj-78	30	12	as	as	ADP
ddj-78	30	13	quint	quint	NOUN
ddj-78	30	14	interval	interval	NOUN
ddj-78	30	15	so	so	SCONJ
ddj-78	30	16	that	that	SCONJ
ddj-78	30	17	triangles	triangle	NOUN
ddj-78	30	18	would	would	AUX
ddj-78	30	19	represent	represent	VERB
ddj-78	30	20	basic	basic	ADJ
ddj-78	30	21	3	3	NUM
ddj-78	30	22	-	-	PUNCT
ddj-78	30	23	chords	chord	NOUN
ddj-78	30	24	of	of	ADP
ddj-78	30	25	the	the	DET
ddj-78	30	26	harmony	harmony	NOUN
ddj-78	30	27	with	with	ADP
ddj-78	30	28	0,1	0,1	NUM
ddj-78	30	29	,	,	PUNCT
ddj-78	30	30	or	or	CCONJ
ddj-78	30	31	2	2	NUM
ddj-78	30	32	quints	quint	NOUN
ddj-78	30	33	.	.	PUNCT
ddj-78	31	1	one	one	PRON
ddj-78	31	2	can	can	AUX
ddj-78	31	3	make	make	VERB
ddj-78	31	4	same	same	ADJ
ddj-78	31	5	questions	question	NOUN
ddj-78	31	6	also	also	ADV
ddj-78	31	7	for	for	ADP
ddj-78	31	8	other	other	ADJ
ddj-78	31	9	platonic	platonic	ADJ
ddj-78	31	10	solidstetrahedron	solidstetrahedron	NOUN
ddj-78	31	11	(	(	PUNCT
ddj-78	31	12	4	4	NUM
ddj-78	31	13	vertices	vertex	NOUN
ddj-78	31	14	)	)	PUNCT
ddj-78	31	15	,	,	PUNCT
ddj-78	31	16	octahedron	octahedron	NOUN
ddj-78	31	17	and	and	CCONJ
ddj-78	31	18	cube	cube	NOUN
ddj-78	31	19	which	which	PRON
ddj-78	31	20	are	be	AUX
ddj-78	31	21	duals	dual	NOUN
ddj-78	31	22	of	of	ADP
ddj-78	31	23	each	each	DET
ddj-78	31	24	other	other	ADJ
ddj-78	31	25	and	and	CCONJ
ddj-78	31	26	have	have	VERB
ddj-78	31	27	(	(	PUNCT
ddj-78	31	28	6	6	NUM
ddj-78	31	29	and	and	CCONJ
ddj-78	31	30	8	8	NUM
ddj-78	31	31	vertices	vertex	NOUN
ddj-78	31	32	respectively	respectively	ADV
ddj-78	31	33	,	,	PUNCT
ddj-78	31	34	and	and	CCONJ
ddj-78	31	35	dodecahedron	dodecahedron	NOUN
ddj-78	31	36	which	which	PRON
ddj-78	31	37	is	be	AUX
ddj-78	31	38	dual	dual	ADJ
ddj-78	31	39	of	of	ADP
ddj-78	31	40	icosahedron	icosahedron	PROPN
ddj-78	31	41	having	have	VERB
ddj-78	31	42	20	20	NUM
ddj-78	31	43	vertices	vertex	NOUN
ddj-78	31	44	and	and	CCONJ
ddj-78	31	45	12	12	NUM
ddj-78	31	46	faces	face	NOUN
ddj-78	31	47	.	.	PUNCT
ddj-78	32	1	arabic	arabic	ADJ
ddj-78	32	2	music	music	NOUN
ddj-78	32	3	uses	use	VERB
ddj-78	32	4	half	half	NOUN
ddj-78	32	5	intervals	interval	NOUN
ddj-78	32	6	and	and	CCONJ
ddj-78	32	7	scales	scale	NOUN
ddj-78	32	8	with	with	ADP
ddj-78	32	9	19	19	NUM
ddj-78	32	10	and	and	CCONJ
ddj-78	32	11	24	24	NUM
ddj-78	32	12	notes	note	NOUN
ddj-78	32	13	are	be	AUX
ddj-78	32	14	used	use	VERB
ddj-78	32	15	.	.	PUNCT
ddj-78	33	1	could	could	AUX
ddj-78	33	2	20	20	NUM
ddj-78	33	3	-	-	PUNCT
ddj-78	33	4	note	note	NOUN
ddj-78	33	5	scale	scale	NOUN
ddj-78	33	6	with	with	ADP
ddj-78	33	7	harmony	harmony	NOUN
ddj-78	33	8	defined	define	VERB
ddj-78	33	9	by	by	ADP
ddj-78	33	10	5	5	NUM
ddj-78	33	11	-	-	PUNCT
ddj-78	33	12	chords	chord	NOUN
ddj-78	33	13	assigned	assign	VERB
ddj-78	33	14	to	to	ADP
ddj-78	33	15	the	the	DET
ddj-78	33	16	pentagons	pentagon	NOUN
ddj-78	33	17	of	of	ADP
ddj-78	33	18	dodecahedron	dodecahedron	NOUN
ddj-78	33	19	have	have	VERB
ddj-78	33	20	some	some	DET
ddj-78	33	21	aesthetic	aesthetic	ADJ
ddj-78	33	22	appeal	appeal	NOUN
ddj-78	33	23	?	?	PUNCT
ddj-78	34	1	nowadays	nowadays	ADV
ddj-78	34	2	it	it	PRON
ddj-78	34	3	is	be	AUX
ddj-78	34	4	possible	possible	ADJ
ddj-78	34	5	to	to	PART
ddj-78	34	6	develop	develop	VERB
ddj-78	34	7	electronically	electronically	ADV
ddj-78	34	8	music	music	NOUN
ddj-78	34	9	based	base	VERB
ddj-78	34	10	on	on	ADP
ddj-78	34	11	this	this	DET
ddj-78	34	12	kind	kind	NOUN
ddj-78	34	13	of	of	ADP
ddj-78	34	14	scale	scale	NOUN
ddj-78	34	15	and	and	CCONJ
ddj-78	34	16	this	this	DET
ddj-78	34	17	kind	kind	NOUN
ddj-78	34	18	of	of	ADP
ddj-78	34	19	experimentation	experimentation	NOUN
ddj-78	34	20	might	might	AUX
ddj-78	34	21	be	be	AUX
ddj-78	34	22	a	a	DET
ddj-78	34	23	fascinating	fascinating	ADJ
ddj-78	34	24	intellectual	intellectual	ADJ
ddj-78	34	25	and	and	CCONJ
ddj-78	34	26	artistic	artistic	ADJ
ddj-78	34	27	adventure	adventure	NOUN
ddj-78	34	28	for	for	ADP
ddj-78	34	29	a	a	DET
ddj-78	34	30	young	young	ADJ
ddj-78	34	31	composer	composer	NOUN
ddj-78	34	32	.	.	PUNCT
ddj-78	35	1	i	i	PRON
ddj-78	35	2	have	have	AUX
ddj-78	35	3	also	also	ADV
ddj-78	35	4	played	play	VERB
ddj-78	35	5	with	with	ADP
ddj-78	35	6	the	the	DET
ddj-78	35	7	idea	idea	NOUN
ddj-78	35	8	that	that	SCONJ
ddj-78	35	9	the	the	DET
ddj-78	35	10	20	20	NUM
ddj-78	35	11	amino	amino	NOUN
ddj-78	35	12	-	-	PUNCT
ddj-78	35	13	acids	acid	NOUN
ddj-78	35	14	could	could	AUX
ddj-78	35	15	somehow	somehow	ADV
ddj-78	35	16	correspond	correspond	VERB
ddj-78	35	17	to	to	ADP
ddj-78	35	18	the	the	DET
ddj-78	35	19	20	20	NUM
ddj-78	35	20	triangles	triangle	NOUN
ddj-78	35	21	of	of	ADP
ddj-78	35	22	icosahedron	icosahedron	NOUN
ddj-78	35	23	.	.	PUNCT
ddj-78	36	1	the	the	DET
ddj-78	36	2	combination	combination	NOUN
ddj-78	36	3	of	of	ADP
ddj-78	36	4	this	this	DET
ddj-78	36	5	idea	idea	NOUN
ddj-78	36	6	with	with	ADP
ddj-78	36	7	the	the	DET
ddj-78	36	8	idea	idea	NOUN
ddj-78	36	9	of	of	ADP
ddj-78	36	10	mapping	map	VERB
ddj-78	36	11	12	12	NUM
ddj-78	36	12	-	-	PUNCT
ddj-78	36	13	tone	tone	NOUN
ddj-78	36	14	scale	scale	NOUN
ddj-78	36	15	to	to	ADP
ddj-78	36	16	a	a	DET
ddj-78	36	17	hamiltonian	hamiltonian	ADJ
ddj-78	36	18	cycle	cycle	NOUN
ddj-78	36	19	at	at	ADP
ddj-78	36	20	icosahedron	icosahedron	PROPN
ddj-78	36	21	leads	lead	NOUN
ddj-78	36	22	to	to	ADP
ddj-78	36	23	the	the	DET
ddj-78	36	24	question	question	NOUN
ddj-78	36	25	whether	whether	SCONJ
ddj-78	36	26	amino	amino	NOUN
ddj-78	36	27	-	-	PUNCT
ddj-78	36	28	acids	acid	NOUN
ddj-78	36	29	could	could	AUX
ddj-78	36	30	be	be	AUX
ddj-78	36	31	assigned	assign	VERB
ddj-78	36	32	with	with	ADP
ddj-78	36	33	the	the	DET
ddj-78	36	34	equivalence	equivalence	NOUN
ddj-78	36	35	class	class	NOUN
ddj-78	36	36	of	of	ADP
ddj-78	36	37	hamiltonian	hamiltonian	ADJ
ddj-78	36	38	cycles	cycle	NOUN
ddj-78	36	39	under	under	ADP
ddj-78	36	40	icosahedral	icosahedral	ADJ
ddj-78	36	41	group	group	NOUN
ddj-78	36	42	and	and	CCONJ
ddj-78	36	43	whether	whether	SCONJ
ddj-78	36	44	the	the	DET
ddj-78	36	45	geometric	geometric	ADJ
ddj-78	36	46	shape	shape	NOUN
ddj-78	36	47	of	of	ADP
ddj-78	36	48	cycle	cycle	NOUN
ddj-78	36	49	could	could	AUX
ddj-78	36	50	correspond	correspond	VERB
ddj-78	36	51	to	to	ADP
ddj-78	36	52	physical	physical	ADJ
ddj-78	36	53	properties	property	NOUN
ddj-78	36	54	of	of	ADP
ddj-78	36	55	amino	amino	NOUN
ddj-78	36	56	-	-	PUNCT
ddj-78	36	57	acids	acid	NOUN
ddj-78	36	58	[	[	X
ddj-78	36	59	4	4	NUM
ddj-78	36	60	]	]	PUNCT
ddj-78	36	61	.	.	PUNCT
ddj-78	37	1	the	the	DET
ddj-78	37	2	identification	identification	NOUN
ddj-78	37	3	of	of	ADP
ddj-78	37	4	3	3	NUM
ddj-78	37	5	basic	basic	ADJ
ddj-78	37	6	polar	polar	ADJ
ddj-78	37	7	amino	amino	NOUN
ddj-78	37	8	-	-	PUNCT
ddj-78	37	9	acids	acid	NOUN
ddj-78	37	10	with	with	ADP
ddj-78	37	11	triangles	triangle	NOUN
ddj-78	37	12	containing	contain	VERB
ddj-78	37	13	no	no	DET
ddj-78	37	14	edges	edge	NOUN
ddj-78	37	15	of	of	ADP
ddj-78	37	16	the	the	DET
ddj-78	37	17	scale	scale	NOUN
ddj-78	37	18	path	path	NOUN
ddj-78	37	19	,	,	PUNCT
ddj-78	37	20	7	7	NUM
ddj-78	37	21	polar	polar	ADJ
ddj-78	37	22	and	and	CCONJ
ddj-78	37	23	acidic	acidic	ADJ
ddj-78	37	24	polar	polar	ADJ
ddj-78	37	25	amino	amino	NOUN
ddj-78	37	26	-	-	PUNCT
ddj-78	37	27	acids	acid	NOUN
ddj-78	37	28	with	with	ADP
ddj-78	37	29	those	those	PRON
ddj-78	37	30	containing	contain	VERB
ddj-78	37	31	2	2	NUM
ddj-78	37	32	edges	edge	NOUN
ddj-78	37	33	of	of	ADP
ddj-78	37	34	the	the	DET
ddj-78	37	35	scale	scale	NOUN
ddj-78	37	36	path	path	NOUN
ddj-78	37	37	,	,	PUNCT
ddj-78	37	38	and	and	CCONJ
ddj-78	37	39	10	10	NUM
ddj-78	37	40	non	non	ADJ
ddj-78	37	41	-	-	ADJ
ddj-78	37	42	polar	polar	ADJ
ddj-78	37	43	amino	amino	NOUN
ddj-78	37	44	-	-	PUNCT
ddj-78	37	45	acids	acid	NOUN
ddj-78	37	46	with	with	ADP
ddj-78	37	47	triangles	triangle	NOUN
ddj-78	37	48	containing	contain	VERB
ddj-78	37	49	1	1	NUM
ddj-78	37	50	edge	edge	NOUN
ddj-78	37	51	on	on	ADP
ddj-78	37	52	the	the	DET
ddj-78	37	53	scale	scale	NOUN
ddj-78	37	54	path	path	NOUN
ddj-78	37	55	is	be	AUX
ddj-78	37	56	what	what	PRON
ddj-78	37	57	comes	come	VERB
ddj-78	37	58	first	first	ADV
ddj-78	37	59	in	in	ADP
ddj-78	37	60	mind	mind	NOUN
ddj-78	37	61	.	.	PUNCT
ddj-78	38	1	the	the	DET
ddj-78	38	2	number	number	NOUN
ddj-78	38	3	of	of	ADP
ddj-78	38	4	dnas	dna	NOUN
ddj-78	38	5	coding	code	VERB
ddj-78	38	6	for	for	ADP
ddj-78	38	7	a	a	DET
ddj-78	38	8	given	give	VERB
ddj-78	38	9	amino	amino	NOUN
ddj-78	38	10	-	-	PUNCT
ddj-78	38	11	acid	acid	NOUN
ddj-78	38	12	[	[	X
ddj-78	38	13	5	5	NUM
ddj-78	38	14	]	]	PUNCT
ddj-78	38	15	could	could	AUX
ddj-78	38	16	be	be	AUX
ddj-78	38	17	also	also	ADV
ddj-78	38	18	seen	see	VERB
ddj-78	38	19	as	as	ADP
ddj-78	38	20	such	such	DET
ddj-78	38	21	a	a	DET
ddj-78	38	22	physical	physical	ADJ
ddj-78	38	23	property	property	NOUN
ddj-78	38	24	.	.	PUNCT
ddj-78	39	1	the	the	DET
ddj-78	39	2	model	model	NOUN
ddj-78	39	3	for	for	ADP
ddj-78	39	4	dark	dark	ADJ
ddj-78	39	5	nucleons	nucleon	NOUN
ddj-78	39	6	leads	lead	VERB
ddj-78	39	7	to	to	ADP
ddj-78	39	8	the	the	DET
ddj-78	39	9	vertebrate	vertebrate	ADJ
ddj-78	39	10	genetic	genetic	ADJ
ddj-78	39	11	code	code	NOUN
ddj-78	39	12	with	with	ADP
ddj-78	39	13	correct	correct	ADJ
ddj-78	39	14	numbers	number	NOUN
ddj-78	39	15	of	of	ADP
ddj-78	39	16	dnas	dna	NOUN
ddj-78	39	17	coding	code	VERB
ddj-78	39	18	for	for	ADP
ddj-78	39	19	amino	amino	NOUN
ddj-78	39	20	-	-	PUNCT
ddj-78	39	21	acids	acid	NOUN
ddj-78	39	22	.	.	PUNCT
ddj-78	40	1	it	it	PRON
ddj-78	40	2	is	be	AUX
ddj-78	40	3	not	not	PART
ddj-78	40	4	however	however	ADV
ddj-78	40	5	clear	clear	ADJ
ddj-78	40	6	how	how	SCONJ
ddj-78	40	7	to	to	PART
ddj-78	40	8	interpret	interpret	VERB
ddj-78	40	9	dna	dna	PROPN
ddj-78	40	10	codons	codon	NOUN
ddj-78	40	11	geometrically	geometrically	ADV
ddj-78	40	12	.	.	PUNCT
ddj-78	41	1	it	it	PRON
ddj-78	41	2	however	however	ADV
ddj-78	41	3	turns	turn	VERB
ddj-78	41	4	out	out	ADP
ddj-78	41	5	that	that	SCONJ
ddj-78	41	6	one	one	PRON
ddj-78	41	7	can	can	AUX
ddj-78	41	8	understand	understand	VERB
ddj-78	41	9	only	only	ADV
ddj-78	41	10	the	the	DET
ddj-78	41	11	role	role	NOUN
ddj-78	41	12	of	of	ADP
ddj-78	41	13	60	60	NUM
ddj-78	41	14	codons	codon	NOUN
ddj-78	41	15	in	in	ADP
ddj-78	41	16	the	the	DET
ddj-78	41	17	icosahedral	icosahedral	ADJ
ddj-78	41	18	framework	framework	NOUN
ddj-78	41	19	.	.	PUNCT
ddj-78	42	1	the	the	DET
ddj-78	42	2	treatment	treatment	NOUN
ddj-78	42	3	of	of	ADP
ddj-78	42	4	the	the	DET
ddj-78	42	5	remaining	remain	VERB
ddj-78	42	6	4	4	NUM
ddj-78	42	7	codons	codon	NOUN
ddj-78	42	8	and	and	CCONJ
ddj-78	42	9	of	of	ADP
ddj-78	42	10	the	the	DET
ddj-78	42	11	well	well	ADV
ddj-78	42	12	-	-	PUNCT
ddj-78	42	13	known	know	VERB
ddj-78	42	14	21st	21st	ADJ
ddj-78	42	15	and	and	CCONJ
ddj-78	42	16	22nd	22nd	NOUN
ddj-78	42	17	amino	amino	NOUN
ddj-78	42	18	-	-	PUNCT
ddj-78	42	19	acids	acid	NOUN
ddj-78	42	20	requires	require	VERB
ddj-78	42	21	the	the	DET
ddj-78	42	22	fusion	fusion	NOUN
ddj-78	42	23	of	of	ADP
ddj-78	42	24	icosahedral	icosahedral	ADJ
ddj-78	42	25	code	code	NOUN
ddj-78	42	26	with	with	ADP
ddj-78	42	27	tetrahedral	tetrahedral	ADJ
ddj-78	42	28	code	code	NOUN
ddj-78	42	29	represented	represent	VERB
ddj-78	42	30	geometrically	geometrically	ADV
ddj-78	42	31	as	as	ADP
ddj-78	42	32	fusion	fusion	NOUN
ddj-78	42	33	of	of	ADP
ddj-78	42	34	icosahedron	icosahedron	NOUN
ddj-78	42	35	and	and	CCONJ
ddj-78	42	36	tetrahedron	tetrahedron	NOUN
ddj-78	42	37	along	along	ADP
ddj-78	42	38	common	common	ADJ
ddj-78	42	39	face	face	NOUN
ddj-78	42	40	which	which	PRON
ddj-78	42	41	has	have	VERB
ddj-78	42	42	empty	empty	ADJ
ddj-78	42	43	interior	interior	NOUN
ddj-78	42	44	and	and	CCONJ
ddj-78	42	45	is	be	AUX
ddj-78	42	46	interpreted	interpret	VERB
ddj-78	42	47	as	as	ADP
ddj-78	42	48	”	"	PUNCT
ddj-78	42	49	empty	empty	ADJ
ddj-78	42	50	”	"	PUNCT
ddj-78	42	51	amino	amino	NOUN
ddj-78	42	52	-	-	PUNCT
ddj-78	42	53	acid	acid	NOUN
ddj-78	42	54	coded	code	VERB
ddj-78	42	55	by	by	ADP
ddj-78	42	56	stopping	stop	VERB
ddj-78	42	57	codons	codon	NOUN
ddj-78	42	58	.	.	PUNCT
ddj-78	43	1	in	in	ADP
ddj-78	43	2	this	this	DET
ddj-78	43	3	manner	manner	NOUN
ddj-78	43	4	one	one	PRON
ddj-78	43	5	can	can	AUX
ddj-78	43	6	satisfy	satisfy	VERB
ddj-78	43	7	the	the	DET
ddj-78	43	8	constraints	constraint	NOUN
ddj-78	43	9	on	on	ADP
ddj-78	43	10	the	the	DET
ddj-78	43	11	hamiltonian	hamiltonian	ADJ
ddj-78	43	12	cycles	cycle	NOUN
ddj-78	43	13	,	,	PUNCT
ddj-78	43	14	and	and	CCONJ
ddj-78	43	15	construct	construct	VERB
ddj-78	43	16	explicitly	explicitly	ADV
ddj-78	43	17	the	the	DET
ddj-78	43	18	icosahedral	icosahedral	ADJ
ddj-78	43	19	hamiltonian	hamiltonian	ADJ
ddj-78	43	20	cycle	cycle	NOUN
ddj-78	43	21	as	as	ADP
ddj-78	43	22	(	(	PUNCT
ddj-78	43	23	4,8,8	4,8,8	NUM
ddj-78	43	24	)	)	PUNCT
ddj-78	43	25	cycle	cycle	NOUN
ddj-78	43	26	whose	whose	DET
ddj-78	43	27	unique	unique	ADJ
ddj-78	43	28	modification	modification	NOUN
ddj-78	43	29	gives	give	VERB
ddj-78	43	30	(	(	PUNCT
ddj-78	43	31	4,11,7	4,11,7	NUM
ddj-78	43	32	)	)	PUNCT
ddj-78	43	33	icosa	icosa	NOUN
ddj-78	43	34	-	-	PUNCT
ddj-78	43	35	tetrahedral	tetrahedral	ADJ
ddj-78	43	36	cycle	cycle	NOUN
ddj-78	43	37	.	.	PUNCT
ddj-78	44	1	2	2	NUM
ddj-78	44	2	could	could	AUX
ddj-78	44	3	pythagoras	pythagoras	PROPN
ddj-78	44	4	have	have	VERB
ddj-78	44	5	something	something	PRON
ddj-78	44	6	to	to	PART
ddj-78	44	7	give	give	VERB
ddj-78	44	8	for	for	ADP
ddj-78	44	9	the	the	DET
ddj-78	44	10	modern	modern	ADJ
ddj-78	44	11	musicology	musicology	NOUN
ddj-78	44	12	?	?	PUNCT
ddj-78	45	1	the	the	DET
ddj-78	45	2	ideas	idea	NOUN
ddj-78	45	3	of	of	ADP
ddj-78	45	4	pythagorean	pythagorean	PROPN
ddj-78	45	5	school	school	NOUN
ddj-78	45	6	about	about	ADP
ddj-78	45	7	music	music	NOUN
ddj-78	45	8	were	be	AUX
ddj-78	45	9	strongly	strongly	ADV
ddj-78	45	10	based	base	VERB
ddj-78	45	11	on	on	ADP
ddj-78	45	12	the	the	DET
ddj-78	45	13	number	number	NOUN
ddj-78	45	14	theory	theory	NOUN
ddj-78	45	15	of	of	ADP
ddj-78	45	16	that	that	DET
ddj-78	45	17	time	time	NOUN
ddj-78	45	18	.	.	PUNCT
ddj-78	46	1	so	so	ADV
ddj-78	46	2	called	call	VERB
ddj-78	46	3	modern	modern	ADJ
ddj-78	46	4	approaches	approach	NOUN
ddj-78	46	5	tend	tend	VERB
ddj-78	46	6	to	to	PART
ddj-78	46	7	seem	seem	VERB
ddj-78	46	8	music	music	NOUN
ddj-78	46	9	scales	scale	NOUN
ddj-78	46	10	as	as	ADP
ddj-78	46	11	cultural	cultural	ADJ
ddj-78	46	12	phenomena	phenomenon	NOUN
ddj-78	46	13	.	.	PUNCT
ddj-78	47	1	there	there	PRON
ddj-78	47	2	are	be	VERB
ddj-78	47	3	however	however	ADV
ddj-78	47	4	many	many	ADJ
ddj-78	47	5	reasons	reason	NOUN
ddj-78	47	6	to	to	PART
ddj-78	47	7	suspect	suspect	VERB
ddj-78	47	8	that	that	SCONJ
ddj-78	47	9	pythagorean	pythagorean	PROPN
ddj-78	47	10	school	school	NOUN
ddj-78	47	11	might	might	AUX
ddj-78	47	12	have	have	AUX
ddj-78	47	13	been	be	AUX
ddj-78	47	14	much	much	ADV
ddj-78	47	15	nearer	near	ADJ
ddj-78	47	16	to	to	ADP
ddj-78	47	17	truth	truth	NOUN
ddj-78	47	18	.	.	PUNCT
ddj-78	48	1	2.1	2.1	NUM
ddj-78	48	2	pythagoras	pythagora	NOUN
ddj-78	48	3	and	and	CCONJ
ddj-78	48	4	transition	transition	NOUN
ddj-78	48	5	from	from	ADP
ddj-78	48	6	rational	rational	ADJ
ddj-78	48	7	numbers	number	NOUN
ddj-78	48	8	to	to	ADP
ddj-78	48	9	algebraic	algebraic	ADJ
ddj-78	48	10	numbers	number	NOUN
ddj-78	48	11	pythagoras	pythagoras	PROPN
ddj-78	48	12	was	be	AUX
ddj-78	48	13	one	one	NUM
ddj-78	48	14	the	the	DET
ddj-78	48	15	greatest	great	ADJ
ddj-78	48	16	ancient	ancient	ADJ
ddj-78	48	17	mathematicians	mathematician	NOUN
ddj-78	48	18	.	.	PUNCT
ddj-78	49	1	the	the	DET
ddj-78	49	2	prevailing	prevail	VERB
ddj-78	49	3	belief	belief	NOUN
ddj-78	49	4	at	at	ADP
ddj-78	49	5	that	that	PRON
ddj-78	49	6	was	be	AUX
ddj-78	49	7	that	that	SCONJ
ddj-78	49	8	the	the	DET
ddj-78	49	9	world	world	NOUN
ddj-78	49	10	can	can	AUX
ddj-78	49	11	be	be	AUX
ddj-78	49	12	described	describe	VERB
ddj-78	49	13	solely	solely	ADV
ddj-78	49	14	in	in	ADP
ddj-78	49	15	terms	term	NOUN
ddj-78	49	16	rational	rational	ADJ
ddj-78	49	17	numbers	number	NOUN
ddj-78	49	18	.	.	PUNCT
ddj-78	50	1	during	during	ADP
ddj-78	50	2	the	the	DET
ddj-78	50	3	times	time	NOUN
ddj-78	50	4	of	of	ADP
ddj-78	50	5	pythagoras	pythagoras	PROPN
ddj-78	50	6	the	the	DET
ddj-78	50	7	ancient	ancient	ADJ
ddj-78	50	8	mathematical	mathematical	ADJ
ddj-78	50	9	consciousness	consciousness	NOUN
ddj-78	50	10	had	have	AUX
ddj-78	50	11	entered	enter	VERB
ddj-78	50	12	at	at	ADP
ddj-78	50	13	the	the	DET
ddj-78	50	14	verge	verge	NOUN
ddj-78	50	15	of	of	ADP
ddj-78	50	16	a	a	DET
ddj-78	50	17	profound	profound	ADJ
ddj-78	50	18	revolution	revolution	NOUN
ddj-78	50	19	:	:	PUNCT
ddj-78	50	20	the	the	DET
ddj-78	50	21	time	time	NOUN
ddj-78	50	22	had	have	AUX
ddj-78	50	23	become	become	VERB
ddj-78	50	24	ripe	ripe	ADJ
ddj-78	50	25	for	for	ADP
ddj-78	50	26	the	the	DET
ddj-78	50	27	discovery	discovery	NOUN
ddj-78	50	28	of	of	ADP
ddj-78	50	29	algebraic	algebraic	ADJ
ddj-78	50	30	numbers	number	NOUN
ddj-78	50	31	expanding	expand	VERB
ddj-78	50	32	rational	rational	ADJ
ddj-78	50	33	numbers	number	NOUN
ddj-78	50	34	to	to	ADP
ddj-78	50	35	an	an	DET
ddj-78	50	36	infinite	infinite	ADJ
ddj-78	50	37	series	series	NOUN
ddj-78	50	38	of	of	ADP
ddj-78	50	39	algebraic	algebraic	ADJ
ddj-78	50	40	extensions	extension	NOUN
ddj-78	50	41	of	of	ADP
ddj-78	50	42	rationals	rational	NOUN
ddj-78	50	43	containing	contain	VERB
ddj-78	50	44	also	also	ADV
ddj-78	50	45	rational	rational	ADJ
ddj-78	50	46	multiples	multiple	NOUN
ddj-78	50	47	for	for	ADP
ddj-78	50	48	finite	finite	ADJ
ddj-78	50	49	number	number	NOUN
ddj-78	50	50	of	of	ADP
ddj-78	50	51	algebraic	algebraic	ADJ
ddj-78	50	52	numbers	number	NOUN
ddj-78	50	53	emerging	emerge	VERB
ddj-78	50	54	as	as	ADP
ddj-78	50	55	roots	root	NOUN
ddj-78	50	56	of	of	ADP
ddj-78	50	57	polynomials	polynomial	NOUN
ddj-78	50	58	with	with	ADP
ddj-78	50	59	rational	rational	ADJ
ddj-78	50	60	coefficients	coefficient	NOUN
ddj-78	50	61	.	.	PUNCT
ddj-78	51	1	euclid	euclid	PROPN
ddj-78	51	2	introduces	introduces	PROPN
ddj-78	51	3	square	square	PROPN
ddj-78	51	4	root	root	NOUN
ddj-78	51	5	geometrically	geometrically	ADV
ddj-78	51	6	as	as	ADP
ddj-78	51	7	length	length	NOUN
ddj-78	51	8	of	of	ADP
ddj-78	51	9	the	the	DET
ddj-78	51	10	diagonal	diagonal	NOUN
ddj-78	51	11	of	of	ADP
ddj-78	51	12	square	square	NOUN
ddj-78	51	13	.	.	PUNCT
ddj-78	52	1	in	in	ADP
ddj-78	52	2	ancient	ancient	ADJ
ddj-78	52	3	india	india	PROPN
ddj-78	52	4	it	it	PRON
ddj-78	52	5	was	be	AUX
ddj-78	52	6	discover	discover	VERB
ddj-78	52	7	800	800	NUM
ddj-78	52	8	-	-	SYM
ddj-78	52	9	500	500	NUM
ddj-78	52	10	bc	bc	PROPN
ddj-78	52	11	,	,	PUNCT
ddj-78	52	12	possibly	possibly	ADV
ddj-78	52	13	much	much	ADV
ddj-78	52	14	earlier	early	ADV
ddj-78	52	15	.	.	PUNCT
ddj-78	53	1	unfortunately	unfortunately	ADV
ddj-78	53	2	,	,	PUNCT
ddj-78	53	3	the	the	DET
ddj-78	53	4	emergence	emergence	NOUN
ddj-78	53	5	of	of	ADP
ddj-78	53	6	christianity	christianity	NOUN
ddj-78	53	7	stopped	stop	VERB
ddj-78	53	8	the	the	DET
ddj-78	53	9	evolution	evolution	NOUN
ddj-78	53	10	of	of	ADP
ddj-78	53	11	mathematics	mathematic	NOUN
ddj-78	53	12	and	and	CCONJ
ddj-78	53	13	new	new	ADJ
ddj-78	53	14	progress	progress	NOUN
ddj-78	53	15	began	begin	VERB
ddj-78	53	16	at	at	ADP
ddj-78	53	17	times	time	NOUN
ddj-78	53	18	of	of	ADP
ddj-78	53	19	newton	newton	PROPN
ddj-78	53	20	when	when	SCONJ
ddj-78	53	21	also	also	ADV
ddj-78	53	22	reformation	reformation	NOUN
ddj-78	53	23	took	take	VERB
ddj-78	53	24	place	place	NOUN
ddj-78	53	25	.	.	PUNCT
ddj-78	54	1	isbn	isbn	ADJ
ddj-78	54	2	:	:	PUNCT
ddj-78	54	3	2159	2159	NUM
ddj-78	54	4	-	-	PUNCT
ddj-78	54	5	046x	046x	NOUN
ddj-78	54	6	dna	dna	NOUN
ddj-78	54	7	decipher	decipher	PROPN
ddj-78	54	8	journal	journal	PROPN
ddj-78	54	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	54	10	published	publish	VERB
ddj-78	54	11	by	by	ADP
ddj-78	54	12	quantumdream	quantumdream	PROPN
ddj-78	54	13	,	,	PUNCT
ddj-78	54	14	inc	inc	PROPN
ddj-78	54	15	.	.	PROPN
ddj-78	54	16	dna	dna	PROPN
ddj-78	54	17	decipher	decipher	PROPN
ddj-78	54	18	journal	journal	PROPN
ddj-78	55	1	|	|	ADV
ddj-78	55	2	october	october	PROPN
ddj-78	55	3	2014	2014	NUM
ddj-78	55	4	|	|	ADV
ddj-78	55	5	volume	volume	NOUN
ddj-78	55	6	4	4	NUM
ddj-78	55	7	|	|	NOUN
ddj-78	55	8	issue	issue	VERB
ddj-78	55	9	2	2	NUM
ddj-78	55	10	|	|	CCONJ
ddj-78	55	11	pp	pp	ADJ
ddj-78	55	12	.	.	PUNCT
ddj-78	56	1	141	141	NUM
ddj-78	56	2	-	-	SYM
ddj-78	56	3	160	160	NUM
ddj-78	56	4	143	143	NUM
ddj-78	56	5	pitkänen	pitkänen	NOUN
ddj-78	56	6	,	,	PUNCT
ddj-78	56	7	m.	m.	NOUN
ddj-78	56	8	pythagoras	pythagoras	PROPN
ddj-78	56	9	,	,	PUNCT
ddj-78	56	10	music	music	NOUN
ddj-78	56	11	,	,	PUNCT
ddj-78	56	12	sacred	sacred	ADJ
ddj-78	56	13	geometry	geometry	NOUN
ddj-78	56	14	and	and	CCONJ
ddj-78	56	15	genetic	genetic	ADJ
ddj-78	56	16	code	code	NOUN
ddj-78	56	17	the	the	DET
ddj-78	56	18	well	well	ADV
ddj-78	56	19	-	-	PUNCT
ddj-78	56	20	known	know	VERB
ddj-78	56	21	but	but	CCONJ
ddj-78	56	22	story	story	NOUN
ddj-78	56	23	(	(	PUNCT
ddj-78	56	24	good	good	ADJ
ddj-78	56	25	story	story	NOUN
ddj-78	56	26	but	but	CCONJ
ddj-78	56	27	probably	probably	ADV
ddj-78	56	28	not	not	PART
ddj-78	56	29	true	true	ADJ
ddj-78	56	30	)	)	PUNCT
ddj-78	56	31	tells	tell	VERB
ddj-78	56	32	that	that	SCONJ
ddj-78	56	33	a	a	DET
ddj-78	56	34	pupil	pupil	NOUN
ddj-78	56	35	of	of	ADP
ddj-78	56	36	pythagoras	pythagoras	PROPN
ddj-78	56	37	demonstrated	demonstrate	VERB
ddj-78	56	38	that	that	SCONJ
ddj-78	56	39	the	the	DET
ddj-78	56	40	diagonal	diagonal	NOUN
ddj-78	56	41	of	of	ADP
ddj-78	56	42	unit	unit	NOUN
ddj-78	56	43	square	square	NOUN
ddj-78	56	44	(	(	PUNCT
ddj-78	56	45	√	√	PROPN
ddj-78	56	46	2	2	NUM
ddj-78	56	47	)	)	PUNCT
ddj-78	56	48	can	can	AUX
ddj-78	56	49	not	not	PART
ddj-78	56	50	be	be	AUX
ddj-78	56	51	rational	rational	ADJ
ddj-78	56	52	number	number	NOUN
ddj-78	56	53	and	and	CCONJ
ddj-78	56	54	had	have	VERB
ddj-78	56	55	to	to	PART
ddj-78	56	56	pay	pay	VERB
ddj-78	56	57	with	with	ADP
ddj-78	56	58	his	his	PRON
ddj-78	56	59	life	life	NOUN
ddj-78	56	60	for	for	ADP
ddj-78	56	61	the	the	DET
ddj-78	56	62	discovery	discovery	NOUN
ddj-78	56	63	.	.	PUNCT
ddj-78	57	1	pythagoras	pythagoras	PROPN
ddj-78	57	2	himself	himself	PRON
ddj-78	57	3	encountered	encounter	VERB
ddj-78	57	4	√	√	NUM
ddj-78	57	5	2	2	NUM
ddj-78	57	6	through	through	ADP
ddj-78	57	7	music	music	NOUN
ddj-78	57	8	theory	theory	NOUN
ddj-78	57	9	.	.	PUNCT
ddj-78	58	1	he	he	PRON
ddj-78	58	2	asked	ask	VERB
ddj-78	58	3	what	what	PRON
ddj-78	58	4	is	be	AUX
ddj-78	58	5	the	the	DET
ddj-78	58	6	note	note	NOUN
ddj-78	58	7	exactly	exactly	ADV
ddj-78	58	8	in	in	ADP
ddj-78	58	9	the	the	DET
ddj-78	58	10	middle	middle	NOUN
ddj-78	58	11	of	of	ADP
ddj-78	58	12	the	the	PRON
ddj-78	58	13	of	of	ADP
ddj-78	58	14	the	the	DET
ddj-78	58	15	scale	scale	NOUN
ddj-78	58	16	.	.	PUNCT
ddj-78	59	1	modern	modern	ADJ
ddj-78	59	2	mathematician	mathematician	NOUN
ddj-78	59	3	would	would	AUX
ddj-78	59	4	answer	answer	VERB
ddj-78	59	5	half	half	NOUN
ddj-78	59	6	of	of	ADP
ddj-78	59	7	octave	octave	NOUN
ddj-78	59	8	corresponding	correspond	VERB
ddj-78	59	9	to	to	ADP
ddj-78	59	10	the	the	DET
ddj-78	59	11	frequency	frequency	NOUN
ddj-78	59	12	ratio	ratio	NOUN
ddj-78	59	13	21/2	21/2	NUM
ddj-78	59	14	.	.	PUNCT
ddj-78	60	1	algebraic	algebraic	ADJ
ddj-78	60	2	numbers	number	NOUN
ddj-78	60	3	did	do	AUX
ddj-78	60	4	not	not	PART
ddj-78	60	5	however	however	ADV
ddj-78	60	6	belong	belong	VERB
ddj-78	60	7	to	to	ADP
ddj-78	60	8	the	the	DET
ddj-78	60	9	world	world	NOUN
ddj-78	60	10	of	of	ADP
ddj-78	60	11	order	order	NOUN
ddj-78	60	12	of	of	ADP
ddj-78	60	13	pythagoras	pythagoras	PROPN
ddj-78	60	14	and	and	CCONJ
ddj-78	60	15	he	he	PRON
ddj-78	60	16	obtained	obtain	VERB
ddj-78	60	17	to	to	ADP
ddj-78	60	18	a	a	DET
ddj-78	60	19	non	non	ADJ
ddj-78	60	20	-	-	ADJ
ddj-78	60	21	satisfactory	satisfactory	ADJ
ddj-78	60	22	rational	rational	ADJ
ddj-78	60	23	approximation	approximation	NOUN
ddj-78	60	24	of	of	ADP
ddj-78	60	25	this	this	DET
ddj-78	60	26	number	number	NOUN
ddj-78	60	27	.	.	PUNCT
ddj-78	61	1	this	this	PRON
ddj-78	61	2	was	be	AUX
ddj-78	61	3	very	very	ADV
ddj-78	61	4	natural	natural	ADJ
ddj-78	61	5	since	since	SCONJ
ddj-78	61	6	only	only	ADJ
ddj-78	61	7	rational	rational	ADJ
ddj-78	61	8	approximations	approximation	NOUN
ddj-78	61	9	of	of	ADP
ddj-78	61	10	algebrais	algebrais	PROPN
ddj-78	61	11	are	be	AUX
ddj-78	61	12	possible	possible	ADJ
ddj-78	61	13	in	in	ADP
ddj-78	61	14	the	the	DET
ddj-78	61	15	experimental	experimental	ADJ
ddj-78	61	16	approach	approach	NOUN
ddj-78	61	17	using	use	VERB
ddj-78	61	18	only	only	ADJ
ddj-78	61	19	strings	string	NOUN
ddj-78	61	20	with	with	ADP
ddj-78	61	21	rational	rational	ADJ
ddj-78	61	22	number	number	NOUN
ddj-78	61	23	valued	value	VERB
ddj-78	61	24	lengths	length	NOUN
ddj-78	61	25	.	.	PUNCT
ddj-78	62	1	√	√	NOUN
ddj-78	62	2	2	2	NUM
ddj-78	62	3	represents	represent	VERB
ddj-78	62	4	the	the	DET
ddj-78	62	5	interval	interval	NOUN
ddj-78	62	6	c−f	c−f	NOUN
ddj-78	62	7	#	#	NOUN
ddj-78	62	8	known	know	VERB
ddj-78	62	9	as	as	ADP
ddj-78	62	10	tritone	tritone	PROPN
ddj-78	62	11	and	and	CCONJ
ddj-78	62	12	this	this	PRON
ddj-78	62	13	this	this	DET
ddj-78	62	14	interval	interval	NOUN
ddj-78	62	15	was	be	AUX
ddj-78	62	16	associated	associate	VERB
ddj-78	62	17	with	with	ADP
ddj-78	62	18	devil	devil	NOUN
ddj-78	62	19	and	and	CCONJ
ddj-78	62	20	its	its	PRON
ddj-78	62	21	use	use	NOUN
ddj-78	62	22	was	be	AUX
ddj-78	62	23	denied	deny	VERB
ddj-78	62	24	also	also	ADV
ddj-78	62	25	by	by	ADP
ddj-78	62	26	church	church	NOUN
ddj-78	62	27	.	.	PUNCT
ddj-78	63	1	only	only	ADV
ddj-78	63	2	after	after	SCONJ
ddj-78	63	3	reformation√	reformation√	NOUN
ddj-78	63	4	2	2	NUM
ddj-78	63	5	was	be	AUX
ddj-78	63	6	accepted	accept	VERB
ddj-78	63	7	and	and	CCONJ
ddj-78	63	8	this	this	DET
ddj-78	63	9	interval	interval	NOUN
ddj-78	63	10	appears	appear	VERB
ddj-78	63	11	repeatedly	repeatedly	ADV
ddj-78	63	12	in	in	ADP
ddj-78	63	13	the	the	DET
ddj-78	63	14	compositions	composition	NOUN
ddj-78	63	15	of	of	ADP
ddj-78	63	16	bach	bach	NOUN
ddj-78	63	17	.	.	PUNCT
ddj-78	64	1	the	the	DET
ddj-78	64	2	amazing	amazing	ADJ
ddj-78	64	3	connections	connection	NOUN
ddj-78	64	4	between	between	ADP
ddj-78	64	5	evolution	evolution	NOUN
ddj-78	64	6	of	of	ADP
ddj-78	64	7	mathematics	mathematic	NOUN
ddj-78	64	8	and	and	CCONJ
ddj-78	64	9	evolution	evolution	NOUN
ddj-78	64	10	of	of	ADP
ddj-78	64	11	the	the	DET
ddj-78	64	12	religious	religious	ADJ
ddj-78	64	13	beliefs	belief	NOUN
ddj-78	64	14	inspires	inspire	VERB
ddj-78	64	15	the	the	DET
ddj-78	64	16	question	question	NOUN
ddj-78	64	17	whether	whether	SCONJ
ddj-78	64	18	the	the	DET
ddj-78	64	19	evolution	evolution	NOUN
ddj-78	64	20	of	of	ADP
ddj-78	64	21	consciousness	consciousness	NOUN
ddj-78	64	22	could	could	AUX
ddj-78	64	23	at	at	ADP
ddj-78	64	24	basic	basic	ADJ
ddj-78	64	25	level	level	NOUN
ddj-78	64	26	correspond	correspond	NOUN
ddj-78	64	27	to	to	ADP
ddj-78	64	28	th	th	NUM
ddj-78	64	29	evolution	evolution	NOUN
ddj-78	64	30	of	of	ADP
ddj-78	64	31	the	the	DET
ddj-78	64	32	complexity	complexity	NOUN
ddj-78	64	33	of	of	ADP
ddj-78	64	34	the	the	DET
ddj-78	64	35	number	number	NOUN
ddj-78	64	36	field	field	NOUN
ddj-78	64	37	behind	behind	ADP
ddj-78	64	38	the	the	DET
ddj-78	64	39	dynamics	dynamic	NOUN
ddj-78	64	40	underlying	underlie	VERB
ddj-78	64	41	consciousness	consciousness	NOUN
ddj-78	64	42	.	.	PUNCT
ddj-78	65	1	for	for	ADP
ddj-78	65	2	instance	instance	NOUN
ddj-78	65	3	,	,	PUNCT
ddj-78	65	4	in	in	ADP
ddj-78	65	5	tgd	tgd	PROPN
ddj-78	65	6	framework	framework	NOUN
ddj-78	65	7	the	the	DET
ddj-78	65	8	vision	vision	NOUN
ddj-78	65	9	about	about	ADP
ddj-78	65	10	physics	physics	NOUN
ddj-78	65	11	as	as	ADP
ddj-78	65	12	generalized	generalized	ADJ
ddj-78	65	13	number	number	NOUN
ddj-78	65	14	theory	theory	NOUN
ddj-78	65	15	allows	allow	VERB
ddj-78	65	16	one	one	PRON
ddj-78	65	17	can	can	AUX
ddj-78	65	18	to	to	PART
ddj-78	65	19	ask	ask	VERB
ddj-78	65	20	whether	whether	SCONJ
ddj-78	65	21	the	the	DET
ddj-78	65	22	mathematical	mathematical	ADJ
ddj-78	65	23	evolution	evolution	NOUN
ddj-78	65	24	could	could	AUX
ddj-78	65	25	have	have	AUX
ddj-78	65	26	meant	mean	VERB
ddj-78	65	27	quite	quite	ADV
ddj-78	65	28	concretely	concretely	ADV
ddj-78	65	29	the	the	DET
ddj-78	65	30	emergence	emergence	NOUN
ddj-78	65	31	of	of	ADP
ddj-78	65	32	increasingly	increasingly	ADV
ddj-78	65	33	algebraic	algebraic	ADJ
ddj-78	65	34	extensions	extension	NOUN
ddj-78	65	35	of	of	ADP
ddj-78	65	36	rationals	rational	NOUN
ddj-78	65	37	for	for	ADP
ddj-78	65	38	the	the	DET
ddj-78	65	39	coefficients	coefficient	NOUN
ddj-78	65	40	of	of	ADP
ddj-78	65	41	polynomials	polynomial	NOUN
ddj-78	65	42	describing	describe	VERB
ddj-78	65	43	space	space	NOUN
ddj-78	65	44	-	-	PUNCT
ddj-78	65	45	time	time	NOUN
ddj-78	65	46	surfaces	surface	NOUN
ddj-78	65	47	serving	serve	VERB
ddj-78	65	48	as	as	ADP
ddj-78	65	49	spacetime	spacetime	NOUN
ddj-78	65	50	correlates	correlate	NOUN
ddj-78	65	51	of	of	ADP
ddj-78	65	52	consciousness	consciousness	NOUN
ddj-78	65	53	.	.	PUNCT
ddj-78	66	1	2.2	2.2	NUM
ddj-78	66	2	pythagoras	pythagora	NOUN
ddj-78	66	3	and	and	CCONJ
ddj-78	66	4	music	music	NOUN
ddj-78	66	5	pythagoras	pythagoras	PROPN
ddj-78	66	6	was	be	AUX
ddj-78	66	7	both	both	PRON
ddj-78	66	8	mathematician	mathematician	ADJ
ddj-78	66	9	and	and	CCONJ
ddj-78	66	10	experimentalist	experimentalist	NOUN
ddj-78	66	11	studying	study	VERB
ddj-78	66	12	the	the	DET
ddj-78	66	13	world	world	NOUN
ddj-78	66	14	of	of	ADP
ddj-78	66	15	musical	musical	ADJ
ddj-78	66	16	experience	experience	NOUN
ddj-78	66	17	experimentally	experimentally	ADV
ddj-78	66	18	.	.	PUNCT
ddj-78	67	1	string	string	NOUN
ddj-78	67	2	instruments	instrument	NOUN
ddj-78	67	3	were	be	AUX
ddj-78	67	4	his	his	PRON
ddj-78	67	5	tool	tool	NOUN
ddj-78	67	6	.	.	PUNCT
ddj-78	68	1	the	the	DET
ddj-78	68	2	notion	notion	NOUN
ddj-78	68	3	of	of	ADP
ddj-78	68	4	frequency	frequency	NOUN
ddj-78	68	5	was	be	AUX
ddj-78	68	6	not	not	PART
ddj-78	68	7	know	know	ADJ
ddj-78	68	8	at	at	ADP
ddj-78	68	9	the	the	DET
ddj-78	68	10	time	time	NOUN
ddj-78	68	11	and	and	CCONJ
ddj-78	68	12	length	length	NOUN
ddj-78	68	13	of	of	ADP
ddj-78	68	14	vibrating	vibrate	VERB
ddj-78	68	15	part	part	NOUN
ddj-78	68	16	of	of	ADP
ddj-78	68	17	string	string	NOUN
ddj-78	68	18	was	be	AUX
ddj-78	68	19	the	the	DET
ddj-78	68	20	notion	notion	NOUN
ddj-78	68	21	used	use	VERB
ddj-78	68	22	.	.	PUNCT
ddj-78	69	1	the	the	DET
ddj-78	69	2	experienced	experienced	ADJ
ddj-78	69	3	equivalence	equivalence	NOUN
ddj-78	69	4	of	of	ADP
ddj-78	69	5	notes	note	NOUN
ddj-78	69	6	differing	differ	VERB
ddj-78	69	7	by	by	ADP
ddj-78	69	8	octave	octave	NOUN
ddj-78	69	9	was	be	AUX
ddj-78	69	10	known	know	VERB
ddj-78	69	11	at	at	ADP
ddj-78	69	12	that	that	DET
ddj-78	69	13	time	time	NOUN
ddj-78	69	14	and	and	CCONJ
ddj-78	69	15	octave	octave	NOUN
ddj-78	69	16	equivalence	equivalence	NOUN
ddj-78	69	17	was	be	AUX
ddj-78	69	18	understood	understand	VERB
ddj-78	69	19	as	as	ADP
ddj-78	69	20	a	a	DET
ddj-78	69	21	fundamental	fundamental	ADJ
ddj-78	69	22	symmetry	symmetry	NOUN
ddj-78	69	23	of	of	ADP
ddj-78	69	24	music	music	NOUN
ddj-78	69	25	manifesting	manifest	VERB
ddj-78	69	26	itself	itself	PRON
ddj-78	69	27	as	as	ADP
ddj-78	69	28	a	a	DET
ddj-78	69	29	scaling	scaling	ADJ
ddj-78	69	30	-	-	PUNCT
ddj-78	69	31	by-2	by-2	NOUN
ddj-78	69	32	symmetry	symmetry	NOUN
ddj-78	69	33	for	for	ADP
ddj-78	69	34	the	the	DET
ddj-78	69	35	length	length	NOUN
ddj-78	69	36	of	of	ADP
ddj-78	69	37	a	a	DET
ddj-78	69	38	vibrating	vibrate	VERB
ddj-78	69	39	string	string	NOUN
ddj-78	69	40	.	.	PUNCT
ddj-78	70	1	pythagoras	pythagoras	PROPN
ddj-78	70	2	developed	develop	VERB
ddj-78	70	3	8	8	NUM
ddj-78	70	4	note	note	NOUN
ddj-78	70	5	scale	scale	NOUN
ddj-78	70	6	cdefgahc	cdefgahc	NOUN
ddj-78	70	7	(	(	PUNCT
ddj-78	70	8	as	as	ADP
ddj-78	70	9	a	a	DET
ddj-78	70	10	matter	matter	NOUN
ddj-78	70	11	fact	fact	NOUN
ddj-78	70	12	,	,	PUNCT
ddj-78	70	13	7	7	NUM
ddj-78	70	14	notes	note	NOUN
ddj-78	70	15	by	by	ADP
ddj-78	70	16	octave	octave	NOUN
ddj-78	70	17	equivalence	equivalence	NOUN
ddj-78	70	18	)	)	PUNCT
ddj-78	70	19	as	as	SCONJ
ddj-78	70	20	we	we	PRON
ddj-78	70	21	know	know	VERB
ddj-78	70	22	as	as	ADP
ddj-78	70	23	a	a	DET
ddj-78	70	24	combination	combination	NOUN
ddj-78	70	25	of	of	ADP
ddj-78	70	26	two	two	NUM
ddj-78	70	27	scales	scale	NOUN
ddj-78	70	28	efga	efga	NOUN
ddj-78	70	29	and	and	CCONJ
ddj-78	70	30	hcde	hcde	VERB
ddj-78	70	31	using	use	VERB
ddj-78	70	32	octave	octave	NOUN
ddj-78	70	33	equivalence	equivalence	NOUN
ddj-78	70	34	and	and	CCONJ
ddj-78	70	35	it	it	PRON
ddj-78	70	36	was	be	AUX
ddj-78	70	37	established	establish	VERB
ddj-78	70	38	as	as	ADP
ddj-78	70	39	the	the	DET
ddj-78	70	40	official	official	ADJ
ddj-78	70	41	music	music	NOUN
ddj-78	70	42	scale	scale	NOUN
ddj-78	70	43	.	.	PUNCT
ddj-78	71	1	pythagorean	pythagorean	PROPN
ddj-78	71	2	scale	scale	NOUN
ddj-78	71	3	is	be	AUX
ddj-78	71	4	expressed	express	VERB
ddj-78	71	5	solely	solely	ADV
ddj-78	71	6	in	in	ADP
ddj-78	71	7	terms	term	NOUN
ddj-78	71	8	of	of	ADP
ddj-78	71	9	rational	rational	ADJ
ddj-78	71	10	number	number	NOUN
ddj-78	71	11	valued	value	VERB
ddj-78	71	12	ratios	ratio	NOUN
ddj-78	71	13	of	of	ADP
ddj-78	71	14	the	the	DET
ddj-78	71	15	string	string	NOUN
ddj-78	71	16	length	length	NOUN
ddj-78	71	17	to	to	ADP
ddj-78	71	18	that	that	PRON
ddj-78	71	19	for	for	ADP
ddj-78	71	20	the	the	DET
ddj-78	71	21	basic	basic	ADJ
ddj-78	71	22	note	note	NOUN
ddj-78	71	23	of	of	ADP
ddj-78	71	24	the	the	DET
ddj-78	71	25	scale	scale	NOUN
ddj-78	71	26	(	(	PUNCT
ddj-78	71	27	ratio	ratio	NOUN
ddj-78	71	28	of	of	ADP
ddj-78	71	29	frequency	frequency	NOUN
ddj-78	71	30	to	to	ADP
ddj-78	71	31	the	the	DET
ddj-78	71	32	fundamental	fundamental	ADJ
ddj-78	71	33	)	)	PUNCT
ddj-78	71	34	.	.	PUNCT
ddj-78	72	1	pythagorean	pythagorean	PROPN
ddj-78	72	2	scale	scale	NOUN
ddj-78	72	3	(	(	PUNCT
ddj-78	72	4	http://en.wikipedia.org/wiki/music_theory	http://en.wikipedia.org/wiki/music_theory	ADJ
ddj-78	72	5	,	,	PUNCT
ddj-78	72	6	http://en.wikipedia.org/wiki/	http://en.wikipedia.org/wiki/	NOUN
ddj-78	72	7	music_and_mathematics	music_and_mathematic	NOUN
ddj-78	72	8	)	)	PUNCT
ddj-78	72	9	is	be	AUX
ddj-78	72	10	expressed	express	VERB
ddj-78	72	11	solely	solely	ADV
ddj-78	72	12	in	in	ADP
ddj-78	72	13	terms	term	NOUN
ddj-78	72	14	of	of	ADP
ddj-78	72	15	powers	power	NOUN
ddj-78	72	16	of	of	ADP
ddj-78	72	17	the	the	DET
ddj-78	72	18	the	the	DET
ddj-78	72	19	ratio	ratio	NOUN
ddj-78	72	20	3/2	3/2	NUM
ddj-78	72	21	for	for	ADP
ddj-78	72	22	lengths	length	NOUN
ddj-78	72	23	of	of	ADP
ddj-78	72	24	vibrating	vibrate	VERB
ddj-78	72	25	strings	string	NOUN
ddj-78	72	26	correspond	correspond	VERB
ddj-78	72	27	to	to	ADP
ddj-78	72	28	an	an	DET
ddj-78	72	29	interval	interval	NOUN
ddj-78	72	30	known	know	VERB
ddj-78	72	31	and	and	CCONJ
ddj-78	72	32	complete	complete	ADJ
ddj-78	72	33	fifth	fifth	ADJ
ddj-78	72	34	(	(	PUNCT
ddj-78	72	35	c	c	NOUN
ddj-78	72	36	-	-	PUNCT
ddj-78	72	37	g	g	NOUN
ddj-78	72	38	)	)	PUNCT
ddj-78	72	39	.	.	PUNCT
ddj-78	73	1	the	the	DET
ddj-78	73	2	series	series	NOUN
ddj-78	73	3	of	of	ADP
ddj-78	73	4	complete	complete	ADJ
ddj-78	73	5	fifths	fifth	NOUN
ddj-78	73	6	(	(	PUNCT
ddj-78	73	7	c	c	NOUN
ddj-78	73	8	-	-	PUNCT
ddj-78	73	9	g	g	NOUN
ddj-78	73	10	-	-	PUNCT
ddj-78	73	11	da	da	NOUN
ddj-78	73	12	...	...	PUNCT
ddj-78	73	13	)	)	PUNCT
ddj-78	73	14	known	know	VERB
ddj-78	73	15	as	as	ADP
ddj-78	73	16	progression	progression	NOUN
ddj-78	73	17	by	by	ADP
ddj-78	73	18	fifths	fifth	NOUN
ddj-78	73	19	gives	give	VERB
ddj-78	73	20	very	very	ADV
ddj-78	73	21	nearly	nearly	ADV
ddj-78	73	22	7	7	NUM
ddj-78	73	23	octaves	octave	NOUN
ddj-78	73	24	but	but	CCONJ
ddj-78	73	25	not	not	PART
ddj-78	73	26	quite	quite	ADV
ddj-78	73	27	:	:	PUNCT
ddj-78	73	28	(	(	PUNCT
ddj-78	73	29	3/2)12	3/2)12	NUM
ddj-78	73	30	'	'	NUM
ddj-78	73	31	128	128	NUM
ddj-78	73	32	+	+	NUM
ddj-78	73	33	1.75	1.75	NUM
ddj-78	73	34	=	=	SYM
ddj-78	73	35	27	27	NUM
ddj-78	73	36	+1.745	+1.745	NOUN
ddj-78	73	37	.	.	PUNCT
ddj-78	74	1	it	it	PRON
ddj-78	74	2	would	would	AUX
ddj-78	74	3	have	have	AUX
ddj-78	74	4	been	be	AUX
ddj-78	74	5	very	very	ADV
ddj-78	74	6	natural	natural	ADJ
ddj-78	74	7	to	to	PART
ddj-78	74	8	build	build	VERB
ddj-78	74	9	12	12	NUM
ddj-78	74	10	-	-	PUNCT
ddj-78	74	11	note	note	NOUN
ddj-78	74	12	scale	scale	NOUN
ddj-78	74	13	as	as	ADP
ddj-78	74	14	powers	power	NOUN
ddj-78	74	15	of	of	ADP
ddj-78	74	16	rational	rational	ADJ
ddj-78	74	17	(	(	PUNCT
ddj-78	74	18	3/2	3/2	NUM
ddj-78	74	19	)	)	PUNCT
ddj-78	74	20	or	or	CCONJ
ddj-78	74	21	by	by	ADP
ddj-78	74	22	octave	octave	NOUN
ddj-78	74	23	equivalence	equivalence	NOUN
ddj-78	74	24	as	as	ADP
ddj-78	74	25	powers	power	NOUN
ddj-78	74	26	of	of	ADP
ddj-78	74	27	3	3	NUM
ddj-78	74	28	.	.	PUNCT
ddj-78	75	1	the	the	DET
ddj-78	75	2	failure	failure	NOUN
ddj-78	75	3	to	to	PART
ddj-78	75	4	close	close	VERB
ddj-78	75	5	is	be	AUX
ddj-78	75	6	very	very	ADV
ddj-78	75	7	small	small	ADJ
ddj-78	75	8	but	but	CCONJ
ddj-78	75	9	people	people	NOUN
ddj-78	75	10	with	with	ADP
ddj-78	75	11	absolute	absolute	ADJ
ddj-78	75	12	ear	ear	NOUN
ddj-78	75	13	experience	experience	VERB
ddj-78	75	14	the	the	DET
ddj-78	75	15	transponation	transponation	NOUN
ddj-78	75	16	of	of	ADP
ddj-78	75	17	a	a	DET
ddj-78	75	18	melody	melody	NOUN
ddj-78	75	19	to	to	ADP
ddj-78	75	20	different	different	ADJ
ddj-78	75	21	key	key	NOUN
ddj-78	75	22	as	as	ADP
ddj-78	75	23	dissonant	dissonant	ADJ
ddj-78	75	24	since	since	SCONJ
ddj-78	75	25	the	the	DET
ddj-78	75	26	frequency	frequency	NOUN
ddj-78	75	27	ratios	ratio	NOUN
ddj-78	75	28	do	do	AUX
ddj-78	75	29	not	not	PART
ddj-78	75	30	remain	remain	VERB
ddj-78	75	31	quite	quite	ADV
ddj-78	75	32	same	same	ADJ
ddj-78	75	33	.	.	PUNCT
ddj-78	76	1	at	at	ADP
ddj-78	76	2	the	the	DET
ddj-78	76	3	time	time	NOUN
ddj-78	76	4	of	of	ADP
ddj-78	76	5	bach	bach	NOUN
ddj-78	76	6	(	(	PUNCT
ddj-78	76	7	well	well	ADV
ddj-78	76	8	tempered	temper	VERB
ddj-78	76	9	klavier	klavier	NOUN
ddj-78	76	10	)	)	PUNCT
ddj-78	76	11	the	the	DET
ddj-78	76	12	equal	equal	ADJ
ddj-78	76	13	tempered	temper	VERB
ddj-78	76	14	scale	scale	NOUN
ddj-78	76	15	obtained	obtain	VERB
ddj-78	76	16	by	by	ADP
ddj-78	76	17	diving	dive	VERB
ddj-78	76	18	the	the	DET
ddj-78	76	19	logarithmic	logarithmic	ADJ
ddj-78	76	20	scale	scale	NOUN
ddj-78	76	21	to	to	ADP
ddj-78	76	22	12	12	NUM
ddj-78	76	23	equally	equally	ADV
ddj-78	76	24	long	long	ADJ
ddj-78	76	25	parts	part	NOUN
ddj-78	76	26	emerged	emerge	VERB
ddj-78	76	27	and	and	CCONJ
ddj-78	76	28	replacing	replace	VERB
ddj-78	76	29	powers	power	NOUN
ddj-78	76	30	of	of	ADP
ddj-78	76	31	3/2	3/2	NUM
ddj-78	76	32	with	with	ADP
ddj-78	76	33	the	the	DET
ddj-78	76	34	12	12	NUM
ddj-78	76	35	powers	power	NOUN
ddj-78	76	36	of	of	ADP
ddj-78	76	37	algebraic	algebraic	ADJ
ddj-78	76	38	number	number	NOUN
ddj-78	76	39	21/12	21/12	NUM
ddj-78	76	40	inside	inside	ADP
ddj-78	76	41	same	same	ADJ
ddj-78	76	42	octave	octave	NOUN
ddj-78	76	43	even	even	ADV
ddj-78	76	44	without	without	ADP
ddj-78	76	45	octave	octave	NOUN
ddj-78	76	46	equivalence	equivalence	NOUN
ddj-78	76	47	emerged	emerge	VERB
ddj-78	76	48	.	.	PUNCT
ddj-78	77	1	by	by	ADP
ddj-78	77	2	octave	octave	NOUN
ddj-78	77	3	equivalence	equivalence	NOUN
ddj-78	77	4	pythagorean	pythagorean	PROPN
ddj-78	77	5	scale	scale	NOUN
ddj-78	77	6	means	mean	VERB
ddj-78	77	7	that	that	SCONJ
ddj-78	77	8	all	all	DET
ddj-78	77	9	notes	note	NOUN
ddj-78	77	10	of	of	ADP
ddj-78	77	11	the	the	DET
ddj-78	77	12	scale	scale	NOUN
ddj-78	77	13	come	come	VERB
ddj-78	77	14	in	in	ADP
ddj-78	77	15	powers	power	NOUN
ddj-78	77	16	of	of	ADP
ddj-78	77	17	3	3	NUM
ddj-78	77	18	which	which	PRON
ddj-78	77	19	strongly	strongly	ADV
ddj-78	77	20	brings	bring	VERB
ddj-78	77	21	in	in	ADP
ddj-78	77	22	mind	mind	NOUN
ddj-78	77	23	3	3	NUM
ddj-78	77	24	-	-	PUNCT
ddj-78	77	25	adicity	adicity	NOUN
ddj-78	77	26	.	.	PUNCT
ddj-78	78	1	if	if	SCONJ
ddj-78	78	2	one	one	PRON
ddj-78	78	3	does	do	AUX
ddj-78	78	4	not	not	PART
ddj-78	78	5	use	use	VERB
ddj-78	78	6	octave	octave	NOUN
ddj-78	78	7	equivalence	equivalence	NOUN
ddj-78	78	8	when	when	SCONJ
ddj-78	78	9	generalization	generalization	NOUN
ddj-78	78	10	of	of	ADP
ddj-78	78	11	p	p	NOUN
ddj-78	78	12	-	-	PUNCT
ddj-78	78	13	adicity	adicity	NOUN
ddj-78	78	14	to	to	ADP
ddj-78	78	15	q	q	NOUN
ddj-78	78	16	-	-	PUNCT
ddj-78	78	17	adicity	adicity	NOUN
ddj-78	78	18	with	with	ADP
ddj-78	78	19	q	q	NOUN
ddj-78	78	20	=	=	SYM
ddj-78	78	21	3/2	3/2	NUM
ddj-78	78	22	is	be	AUX
ddj-78	78	23	highly	highly	ADV
ddj-78	78	24	suggestive	suggestive	ADJ
ddj-78	78	25	.	.	PUNCT
ddj-78	79	1	q	q	ADJ
ddj-78	79	2	-	-	PUNCT
ddj-78	79	3	adic	adic	ADJ
ddj-78	79	4	numbers	number	NOUN
ddj-78	79	5	do	do	AUX
ddj-78	79	6	not	not	PART
ddj-78	79	7	in	in	ADP
ddj-78	79	8	general	general	ADJ
ddj-78	79	9	form	form	NOUN
ddj-78	79	10	number	number	NOUN
ddj-78	79	11	field	field	NOUN
ddj-78	79	12	,	,	PUNCT
ddj-78	79	13	only	only	ADV
ddj-78	79	14	an	an	DET
ddj-78	79	15	algebra	algebra	NOUN
ddj-78	79	16	.	.	PUNCT
ddj-78	80	1	later	later	ADV
ddj-78	80	2	more	more	ADV
ddj-78	80	3	complex	complex	ADJ
ddj-78	80	4	rational	rational	ADJ
ddj-78	80	5	number	number	NOUN
ddj-78	80	6	based	base	VERB
ddj-78	80	7	representations	representation	NOUN
ddj-78	80	8	of	of	ADP
ddj-78	80	9	scale	scale	NOUN
ddj-78	80	10	using	use	VERB
ddj-78	80	11	octave	octave	NOUN
ddj-78	80	12	equivalence	equivalence	NOUN
ddj-78	80	13	have	have	AUX
ddj-78	80	14	been	be	AUX
ddj-78	80	15	developed	develop	VERB
ddj-78	80	16	.	.	PUNCT
ddj-78	81	1	the	the	DET
ddj-78	81	2	expression	expression	NOUN
ddj-78	81	3	of	of	ADP
ddj-78	81	4	the	the	DET
ddj-78	81	5	frequency	frequency	NOUN
ddj-78	81	6	ratios	ratio	NOUN
ddj-78	81	7	of	of	ADP
ddj-78	81	8	the	the	DET
ddj-78	81	9	notes	note	NOUN
ddj-78	81	10	of	of	ADP
ddj-78	81	11	the	the	DET
ddj-78	81	12	scale	scale	NOUN
ddj-78	81	13	in	in	ADP
ddj-78	81	14	terms	term	NOUN
ddj-78	81	15	of	of	ADP
ddj-78	81	16	harmonic	harmonic	NOUN
ddj-78	81	17	of	of	ADP
ddj-78	81	18	fundamental	fundamental	ADJ
ddj-78	81	19	modulo	modulo	NOUN
ddj-78	81	20	octave	octave	NOUN
ddj-78	81	21	equivalence	equivalence	NOUN
ddj-78	81	22	and	and	CCONJ
ddj-78	81	23	involving	involve	VERB
ddj-78	81	24	only	only	ADJ
ddj-78	81	25	integers	integer	NOUN
ddj-78	81	26	consisting	consist	VERB
ddj-78	81	27	of	of	ADP
ddj-78	81	28	primes	prime	NOUN
ddj-78	81	29	2,3,5	2,3,5	NUM
ddj-78	81	30	is	be	AUX
ddj-78	81	31	known	know	VERB
ddj-78	81	32	as	as	ADP
ddj-78	81	33	just	just	ADV
ddj-78	81	34	intonation	intonation	NOUN
ddj-78	81	35	(	(	PUNCT
ddj-78	81	36	http://en.wikipedia.org/wiki/music_and_mathematics	http://en.wikipedia.org/wiki/music_and_mathematics	NOUN
ddj-78	81	37	)	)	PUNCT
ddj-78	81	38	.	.	PUNCT
ddj-78	82	1	isbn	isbn	ADJ
ddj-78	82	2	:	:	PUNCT
ddj-78	82	3	2159	2159	NUM
ddj-78	82	4	-	-	PUNCT
ddj-78	82	5	046x	046x	NOUN
ddj-78	82	6	dna	dna	NOUN
ddj-78	82	7	decipher	decipher	PROPN
ddj-78	82	8	journal	journal	PROPN
ddj-78	82	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	82	10	published	publish	VERB
ddj-78	82	11	by	by	ADP
ddj-78	82	12	quantumdream	quantumdream	PROPN
ddj-78	82	13	,	,	PUNCT
ddj-78	82	14	inc	inc	PROPN
ddj-78	82	15	.	.	PROPN
ddj-78	82	16	http://en.wikipedia.org/wiki/music_theory	http://en.wikipedia.org/wiki/music_theory	PROPN
ddj-78	82	17	http://en.wikipedia.org/wiki/music_and_mathematics	http://en.wikipedia.org/wiki/music_and_mathematics	PROPN
ddj-78	82	18	http://en.wikipedia.org/wiki/music_and_mathematics	http://en.wikipedia.org/wiki/music_and_mathematics	PROPN
ddj-78	82	19	http://en.wikipedia.org/wiki/music_and_mathematics	http://en.wikipedia.org/wiki/music_and_mathematics	PROPN
ddj-78	82	20	dna	dna	PROPN
ddj-78	82	21	decipher	decipher	PROPN
ddj-78	82	22	journal	journal	NOUN
ddj-78	82	23	|	|	ADV
ddj-78	82	24	october	october	PROPN
ddj-78	82	25	2014	2014	NUM
ddj-78	82	26	|	|	ADV
ddj-78	82	27	volume	volume	NOUN
ddj-78	82	28	4	4	NUM
ddj-78	82	29	|	|	NOUN
ddj-78	82	30	issue	issue	VERB
ddj-78	82	31	2	2	NUM
ddj-78	82	32	|	|	CCONJ
ddj-78	82	33	pp	pp	ADJ
ddj-78	82	34	.	.	PUNCT
ddj-78	83	1	141	141	NUM
ddj-78	83	2	-	-	SYM
ddj-78	83	3	160	160	NUM
ddj-78	83	4	144	144	NUM
ddj-78	83	5	pitkänen	pitkänen	NOUN
ddj-78	83	6	,	,	PUNCT
ddj-78	83	7	m.	m.	NOUN
ddj-78	83	8	pythagoras	pythagoras	PROPN
ddj-78	83	9	,	,	PUNCT
ddj-78	83	10	music	music	NOUN
ddj-78	83	11	,	,	PUNCT
ddj-78	83	12	sacred	sacred	ADJ
ddj-78	83	13	geometry	geometry	NOUN
ddj-78	83	14	and	and	CCONJ
ddj-78	83	15	genetic	genetic	ADJ
ddj-78	83	16	code	code	NOUN
ddj-78	83	17	2.2.1	2.2.1	NUM
ddj-78	83	18	music	music	NOUN
ddj-78	83	19	and	and	CCONJ
ddj-78	83	20	platonic	platonic	ADJ
ddj-78	83	21	solids	solid	NOUN
ddj-78	83	22	pythagoras	pythagoras	PROPN
ddj-78	83	23	was	be	AUX
ddj-78	83	24	also	also	ADV
ddj-78	83	25	aware	aware	ADJ
ddj-78	83	26	of	of	ADP
ddj-78	83	27	a	a	DET
ddj-78	83	28	possible	possible	ADJ
ddj-78	83	29	connection	connection	NOUN
ddj-78	83	30	between	between	ADP
ddj-78	83	31	music	music	NOUN
ddj-78	83	32	scales	scale	NOUN
ddj-78	83	33	and	and	CCONJ
ddj-78	83	34	platonic	platonic	ADJ
ddj-78	83	35	solids	solid	NOUN
ddj-78	83	36	.	.	PUNCT
ddj-78	84	1	pythagoras	pythagoras	PROPN
ddj-78	84	2	is	be	AUX
ddj-78	84	3	claimed	claim	VERB
ddj-78	84	4	to	to	PART
ddj-78	84	5	have	have	AUX
ddj-78	84	6	discovered	discover	VERB
ddj-78	84	7	tetrahedron	tetrahedron	NOUN
ddj-78	84	8	,	,	PUNCT
ddj-78	84	9	hexahedron	hexahedron	NOUN
ddj-78	84	10	(	(	PUNCT
ddj-78	84	11	cube	cube	NOUN
ddj-78	84	12	)	)	PUNCT
ddj-78	84	13	and	and	CCONJ
ddj-78	84	14	dodecahedron	dodecahedron	NOUN
ddj-78	84	15	while	while	SCONJ
ddj-78	84	16	octahedron	octahedron	NOUN
ddj-78	84	17	and	and	CCONJ
ddj-78	84	18	icosahedron	icosahedron	PROPN
ddj-78	84	19	would	would	AUX
ddj-78	84	20	have	have	AUX
ddj-78	84	21	been	be	AUX
ddj-78	84	22	documented	document	VERB
ddj-78	84	23	by	by	ADP
ddj-78	84	24	greek	greek	ADJ
ddj-78	84	25	mathematician	mathematician	ADJ
ddj-78	84	26	thaletus	thaletus	NOUN
ddj-78	84	27	two	two	NUM
ddj-78	84	28	hundred	hundred	NUM
ddj-78	84	29	years	year	NOUN
ddj-78	84	30	later	later	ADV
ddj-78	84	31	.	.	PUNCT
ddj-78	85	1	the	the	DET
ddj-78	85	2	tetrachord	tetrachord	NOUN
ddj-78	85	3	and	and	CCONJ
ddj-78	85	4	was	be	AUX
ddj-78	85	5	assigned	assign	VERB
ddj-78	85	6	with	with	ADP
ddj-78	85	7	tetrahedron	tetrahedron	NOUN
ddj-78	85	8	and	and	CCONJ
ddj-78	85	9	one	one	NUM
ddj-78	85	10	and	and	CCONJ
ddj-78	85	11	imagined	imagine	VERB
ddj-78	85	12	that	that	SCONJ
ddj-78	85	13	pythagorean	pythagorean	PROPN
ddj-78	85	14	scale	scale	NOUN
ddj-78	85	15	could	could	AUX
ddj-78	85	16	have	have	AUX
ddj-78	85	17	been	be	AUX
ddj-78	85	18	assigned	assign	VERB
ddj-78	85	19	with	with	ADP
ddj-78	85	20	pair	pair	NOUN
ddj-78	85	21	of	of	ADP
ddj-78	85	22	tetrahedra	tetrahedron	NOUN
ddj-78	85	23	somehow	somehow	ADV
ddj-78	85	24	cube	cube	NOUN
ddj-78	85	25	or	or	CCONJ
ddj-78	85	26	octahedron	octahedron	NOUN
ddj-78	85	27	which	which	PRON
ddj-78	85	28	comes	come	VERB
ddj-78	85	29	in	in	ADP
ddj-78	85	30	mind	mind	NOUN
ddj-78	85	31	.	.	PUNCT
ddj-78	86	1	note	note	VERB
ddj-78	86	2	that	that	SCONJ
ddj-78	86	3	this	this	PRON
ddj-78	86	4	would	would	AUX
ddj-78	86	5	require	require	VERB
ddj-78	86	6	that	that	DET
ddj-78	86	7	basic	basic	ADJ
ddj-78	86	8	note	note	NOUN
ddj-78	86	9	and	and	CCONJ
ddj-78	86	10	its	its	PRON
ddj-78	86	11	octave	octave	NOUN
ddj-78	86	12	should	should	AUX
ddj-78	86	13	be	be	AUX
ddj-78	86	14	regarded	regard	VERB
ddj-78	86	15	as	as	ADP
ddj-78	86	16	different	different	ADJ
ddj-78	86	17	notes	note	NOUN
ddj-78	86	18	.	.	PUNCT
ddj-78	87	1	these	these	DET
ddj-78	87	2	attempts	attempt	NOUN
ddj-78	87	3	inspire	inspire	VERB
ddj-78	87	4	the	the	DET
ddj-78	87	5	question	question	NOUN
ddj-78	87	6	whether	whether	SCONJ
ddj-78	87	7	the	the	DET
ddj-78	87	8	mapping	mapping	NOUN
ddj-78	87	9	music	music	NOUN
ddj-78	87	10	scales	scale	NOUN
ddj-78	87	11	to	to	ADP
ddj-78	87	12	the	the	DET
ddj-78	87	13	vertices	vertex	NOUN
ddj-78	87	14	of	of	ADP
ddj-78	87	15	platonic	platonic	ADJ
ddj-78	87	16	solids	solid	NOUN
ddj-78	87	17	could	could	AUX
ddj-78	87	18	provide	provide	VERB
ddj-78	87	19	insights	insight	NOUN
ddj-78	87	20	about	about	ADP
ddj-78	87	21	music	music	NOUN
ddj-78	87	22	experience	experience	NOUN
ddj-78	87	23	.	.	PUNCT
ddj-78	88	1	one	one	PRON
ddj-78	88	2	can	can	AUX
ddj-78	88	3	also	also	ADV
ddj-78	88	4	ask	ask	VERB
ddj-78	88	5	whether	whether	SCONJ
ddj-78	88	6	there	there	PRON
ddj-78	88	7	might	might	AUX
ddj-78	88	8	be	be	AUX
ddj-78	88	9	a	a	DET
ddj-78	88	10	mapping	mapping	NOUN
ddj-78	88	11	of	of	ADP
ddj-78	88	12	music	music	NOUN
ddj-78	88	13	understood	understand	VERB
ddj-78	88	14	as	as	ADP
ddj-78	88	15	melodies	melody	NOUN
ddj-78	88	16	and	and	CCONJ
ddj-78	88	17	chords	chord	NOUN
ddj-78	88	18	in	in	ADP
ddj-78	88	19	some	some	DET
ddj-78	88	20	scale	scale	NOUN
ddj-78	88	21	to	to	ADP
ddj-78	88	22	the	the	DET
ddj-78	88	23	geometries	geometry	NOUN
ddj-78	88	24	defined	define	VERB
ddj-78	88	25	by	by	ADP
ddj-78	88	26	platonic	platonic	ADJ
ddj-78	88	27	solids	solid	NOUN
ddj-78	88	28	.	.	PUNCT
ddj-78	89	1	1	1	X
ddj-78	89	2	.	.	PUNCT
ddj-78	90	1	since	since	SCONJ
ddj-78	90	2	12	12	NUM
ddj-78	90	3	-	-	PUNCT
ddj-78	90	4	note	note	NOUN
ddj-78	90	5	scale	scale	NOUN
ddj-78	90	6	is	be	AUX
ddj-78	90	7	used	use	VERB
ddj-78	90	8	in	in	ADP
ddj-78	90	9	practically	practically	ADV
ddj-78	90	10	all	all	DET
ddj-78	90	11	classical	classical	ADJ
ddj-78	90	12	western	western	ADJ
ddj-78	90	13	music	music	NOUN
ddj-78	90	14	and	and	CCONJ
ddj-78	90	15	even	even	ADV
ddj-78	90	16	in	in	ADP
ddj-78	90	17	atonal	atonal	ADJ
ddj-78	90	18	music	music	NOUN
ddj-78	90	19	based	base	VERB
ddj-78	90	20	on	on	ADP
ddj-78	90	21	12	12	NUM
ddj-78	90	22	-	-	PUNCT
ddj-78	90	23	note	note	NOUN
ddj-78	90	24	scale	scale	NOUN
ddj-78	90	25	,	,	PUNCT
ddj-78	90	26	the	the	DET
ddj-78	90	27	natural	natural	ADJ
ddj-78	90	28	question	question	NOUN
ddj-78	90	29	is	be	AUX
ddj-78	90	30	whether	whether	SCONJ
ddj-78	90	31	12	12	NUM
ddj-78	90	32	-	-	PUNCT
ddj-78	90	33	note	note	NOUN
ddj-78	90	34	scale	scale	NOUN
ddj-78	90	35	could	could	AUX
ddj-78	90	36	be	be	AUX
ddj-78	90	37	mapped	map	VERB
ddj-78	90	38	to	to	ADP
ddj-78	90	39	a	a	DET
ddj-78	90	40	connected	connect	VERB
ddj-78	90	41	,	,	PUNCT
ddj-78	90	42	closed	closed	ADJ
ddj-78	90	43	,	,	PUNCT
ddj-78	90	44	non	non	ADJ
ddj-78	90	45	-	-	ADJ
ddj-78	90	46	self	self	NOUN
ddj-78	90	47	-	-	PUNCT
ddj-78	90	48	intersecting	intersect	VERB
ddj-78	90	49	path	path	NOUN
ddj-78	90	50	on	on	ADP
ddj-78	90	51	icosahedron	icosahedron	NUM
ddj-78	90	52	going	go	VERB
ddj-78	90	53	through	through	ADP
ddj-78	90	54	all	all	DET
ddj-78	90	55	12	12	NUM
ddj-78	90	56	vertices	vertex	NOUN
ddj-78	90	57	and	and	CCONJ
ddj-78	90	58	consisting	consist	VERB
ddj-78	90	59	of	of	ADP
ddj-78	90	60	edges	edge	NOUN
ddj-78	90	61	only	only	ADV
ddj-78	90	62	.	.	PUNCT
ddj-78	91	1	closedness	closedness	PROPN
ddj-78	91	2	would	would	AUX
ddj-78	91	3	mean	mean	VERB
ddj-78	91	4	that	that	SCONJ
ddj-78	91	5	base	base	NOUN
ddj-78	91	6	note	note	NOUN
ddj-78	91	7	and	and	CCONJ
ddj-78	91	8	its	its	PRON
ddj-78	91	9	octave	octave	NOUN
ddj-78	91	10	are	be	AUX
ddj-78	91	11	identified	identify	VERB
ddj-78	91	12	by	by	ADP
ddj-78	91	13	octave	octave	NOUN
ddj-78	91	14	equivalence	equivalence	NOUN
ddj-78	91	15	.	.	PUNCT
ddj-78	92	1	2	2	X
ddj-78	92	2	.	.	X
ddj-78	92	3	this	this	DET
ddj-78	92	4	mathematical	mathematical	ADJ
ddj-78	92	5	problem	problem	NOUN
ddj-78	92	6	is	be	AUX
ddj-78	92	7	well	well	ADV
ddj-78	92	8	-	-	PUNCT
ddj-78	92	9	known	know	VERB
ddj-78	92	10	and	and	CCONJ
ddj-78	92	11	curves	curve	NOUN
ddj-78	92	12	of	of	ADP
ddj-78	92	13	this	this	DET
ddj-78	92	14	kind	kind	NOUN
ddj-78	92	15	are	be	AUX
ddj-78	92	16	known	know	VERB
ddj-78	92	17	as	as	ADP
ddj-78	92	18	hamilton	hamilton	PROPN
ddj-78	92	19	cycles	cycle	NOUN
ddj-78	92	20	and	and	CCONJ
ddj-78	92	21	can	can	AUX
ddj-78	92	22	be	be	AUX
ddj-78	92	23	defined	define	VERB
ddj-78	92	24	for	for	ADP
ddj-78	92	25	any	any	DET
ddj-78	92	26	combinatorial	combinatorial	ADJ
ddj-78	92	27	structure	structure	NOUN
ddj-78	92	28	defined	define	VERB
ddj-78	92	29	by	by	ADP
ddj-78	92	30	vertices	vertex	NOUN
ddj-78	92	31	and	and	CCONJ
ddj-78	92	32	faces	face	NOUN
ddj-78	92	33	.	.	PUNCT
ddj-78	93	1	hamilton	hamilton	PROPN
ddj-78	93	2	proved	prove	VERB
ddj-78	93	3	that	that	SCONJ
ddj-78	93	4	hamiltonian	hamiltonian	ADJ
ddj-78	93	5	cycles	cycle	NOUN
ddj-78	93	6	(	(	PUNCT
ddj-78	93	7	possibly	possibly	ADV
ddj-78	93	8	identifiable	identifiable	ADJ
ddj-78	93	9	as	as	ADP
ddj-78	93	10	20	20	NUM
ddj-78	93	11	-	-	PUNCT
ddj-78	93	12	note	note	NOUN
ddj-78	93	13	scale	scale	NOUN
ddj-78	93	14	)	)	PUNCT
ddj-78	93	15	at	at	ADP
ddj-78	93	16	dodecahedron	dodecahedron	NOUN
ddj-78	93	17	is	be	AUX
ddj-78	93	18	unique	unique	ADJ
ddj-78	93	19	module	module	NOUN
ddj-78	93	20	rotations	rotation	NOUN
ddj-78	93	21	and	and	CCONJ
ddj-78	93	22	reflection	reflection	NOUN
ddj-78	93	23	leaving	leave	VERB
ddj-78	93	24	dodecahedron	dodecahedron	NOUN
ddj-78	93	25	invariant	invariant	NOUN
ddj-78	93	26	.	.	PUNCT
ddj-78	94	1	also	also	ADV
ddj-78	94	2	in	in	ADP
ddj-78	94	3	the	the	DET
ddj-78	94	4	case	case	NOUN
ddj-78	94	5	of	of	ADP
ddj-78	94	6	tetrahedron	tetrahedron	NOUN
ddj-78	94	7	and	and	CCONJ
ddj-78	94	8	cube	cube	VERB
ddj-78	94	9	the	the	DET
ddj-78	94	10	hamiltonian	hamiltonian	ADJ
ddj-78	94	11	cycle	cycle	NOUN
ddj-78	94	12	is	be	AUX
ddj-78	94	13	unique	unique	ADJ
ddj-78	94	14	.	.	PUNCT
ddj-78	95	1	3	3	X
ddj-78	95	2	.	.	X
ddj-78	95	3	for	for	ADP
ddj-78	95	4	octahedron	octahedron	NOUN
ddj-78	95	5	and	and	CCONJ
ddj-78	95	6	icosahedron	icosahedron	NUM
ddj-78	95	7	this	this	PRON
ddj-78	95	8	is	be	AUX
ddj-78	95	9	not	not	PART
ddj-78	95	10	the	the	DET
ddj-78	95	11	case	case	NOUN
ddj-78	95	12	[	[	X
ddj-78	95	13	3	3	NUM
ddj-78	95	14	]	]	PUNCT
ddj-78	95	15	and	and	CCONJ
ddj-78	95	16	there	there	PRON
ddj-78	95	17	are	be	VERB
ddj-78	95	18	both	both	DET
ddj-78	95	19	cycles	cycle	NOUN
ddj-78	95	20	containing	contain	VERB
ddj-78	95	21	only	only	ADV
ddj-78	95	22	faces	face	NOUN
ddj-78	95	23	with	with	ADP
ddj-78	95	24	at	at	ADV
ddj-78	95	25	least	least	ADJ
ddj-78	95	26	1	1	NUM
ddj-78	95	27	edge	edge	NOUN
ddj-78	95	28	of	of	ADP
ddj-78	95	29	the	the	DET
ddj-78	95	30	path	path	NOUN
ddj-78	95	31	and	and	CCONJ
ddj-78	95	32	also	also	ADV
ddj-78	95	33	cycles	cycle	NOUN
ddj-78	95	34	containing	contain	VERB
ddj-78	95	35	no	no	DET
ddj-78	95	36	faces	face	NOUN
ddj-78	95	37	containing	contain	VERB
ddj-78	95	38	no	no	DET
ddj-78	95	39	edges	edge	NOUN
ddj-78	95	40	of	of	ADP
ddj-78	95	41	the	the	DET
ddj-78	95	42	path	path	NOUN
ddj-78	95	43	.	.	PUNCT
ddj-78	96	1	numerical	numerical	ADJ
ddj-78	96	2	experimentation	experimentation	NOUN
ddj-78	96	3	is	be	AUX
ddj-78	96	4	rather	rather	ADV
ddj-78	96	5	straightforward	straightforward	ADJ
ddj-78	96	6	manner	manner	NOUN
ddj-78	96	7	to	to	PART
ddj-78	96	8	determine	determine	VERB
ddj-78	96	9	hamiltonian	hamiltonian	ADJ
ddj-78	96	10	cycles	cycle	NOUN
ddj-78	96	11	and	and	CCONJ
ddj-78	96	12	h	h	NOUN
ddj-78	96	13	=	=	SYM
ddj-78	96	14	210	210	NUM
ddj-78	96	15	=	=	SYM
ddj-78	96	16	1024	1024	NUM
ddj-78	96	17	cycles	cycle	NOUN
ddj-78	96	18	can	can	AUX
ddj-78	96	19	be	be	AUX
ddj-78	96	20	found	find	VERB
ddj-78	96	21	.	.	PUNCT
ddj-78	97	1	the	the	DET
ddj-78	97	2	number	number	NOUN
ddj-78	97	3	of	of	ADP
ddj-78	97	4	topologically	topologically	ADV
ddj-78	97	5	non	non	ADJ
ddj-78	97	6	-	-	ADJ
ddj-78	97	7	equivalent	equivalent	ADJ
ddj-78	97	8	cycles	cycle	NOUN
ddj-78	97	9	(	(	PUNCT
ddj-78	97	10	not	not	PART
ddj-78	97	11	transformable	transformable	ADJ
ddj-78	97	12	to	to	ADP
ddj-78	97	13	each	each	DET
ddj-78	97	14	other	other	ADJ
ddj-78	97	15	by	by	ADP
ddj-78	97	16	the	the	DET
ddj-78	97	17	isometries	isometry	NOUN
ddj-78	97	18	of	of	ADP
ddj-78	97	19	icosahedron	icosahedron	X
ddj-78	97	20	)	)	PUNCT
ddj-78	97	21	is	be	AUX
ddj-78	97	22	factor	factor	NOUN
ddj-78	97	23	of	of	ADP
ddj-78	97	24	this	this	DET
ddj-78	97	25	number	number	NOUN
ddj-78	97	26	.	.	PUNCT
ddj-78	98	1	the	the	DET
ddj-78	98	2	group	group	NOUN
ddj-78	98	3	of	of	ADP
ddj-78	98	4	orientation	orientation	NOUN
ddj-78	98	5	preserving	preserve	VERB
ddj-78	98	6	isometries	isometry	NOUN
ddj-78	98	7	of	of	ADP
ddj-78	98	8	icosahedron	icosahedron	X
ddj-78	98	9	is	be	AUX
ddj-78	98	10	the	the	DET
ddj-78	98	11	alternating	alternate	VERB
ddj-78	98	12	group	group	NOUN
ddj-78	98	13	a5	a5	PROPN
ddj-78	98	14	of	of	ADP
ddj-78	98	15	60	60	NUM
ddj-78	98	16	even	even	ADV
ddj-78	98	17	permutations	permutation	NOUN
ddj-78	98	18	of	of	ADP
ddj-78	98	19	five	five	NUM
ddj-78	98	20	letters	letter	NOUN
ddj-78	98	21	.	.	PUNCT
ddj-78	99	1	the	the	DET
ddj-78	99	2	full	full	ADJ
ddj-78	99	3	group	group	NOUN
ddj-78	99	4	of	of	ADP
ddj-78	99	5	isometries	isometry	NOUN
ddj-78	99	6	is	be	AUX
ddj-78	99	7	g	g	NOUN
ddj-78	99	8	=	=	PUNCT
ddj-78	99	9	a5	a5	PROPN
ddj-78	99	10	×	×	PROPN
ddj-78	99	11	z2	z2	PROPN
ddj-78	99	12	containing	contain	VERB
ddj-78	99	13	n	n	NOUN
ddj-78	99	14	=	=	SYM
ddj-78	99	15	120	120	NUM
ddj-78	99	16	elements	element	NOUN
ddj-78	99	17	.	.	PUNCT
ddj-78	100	1	4	4	X
ddj-78	100	2	.	.	X
ddj-78	101	1	some	some	DET
ddj-78	101	2	subgroup	subgroup	NOUN
ddj-78	101	3	of	of	ADP
ddj-78	101	4	g	g	PROPN
ddj-78	101	5	leaves	leave	NOUN
ddj-78	101	6	given	give	VERB
ddj-78	101	7	path	path	NOUN
ddj-78	101	8	invariant	invariant	ADJ
ddj-78	101	9	and	and	CCONJ
ddj-78	101	10	its	its	PRON
ddj-78	101	11	order	order	NOUN
ddj-78	101	12	must	must	AUX
ddj-78	101	13	be	be	AUX
ddj-78	101	14	factor	factor	NOUN
ddj-78	101	15	m	m	NOUN
ddj-78	101	16	of	of	ADP
ddj-78	101	17	n	n	NOUN
ddj-78	101	18	so	so	SCONJ
ddj-78	101	19	that	that	SCONJ
ddj-78	101	20	topological	topological	ADJ
ddj-78	101	21	equivalence	equivalence	NOUN
ddj-78	101	22	class	class	NOUN
ddj-78	101	23	of	of	ADP
ddj-78	101	24	cycles	cycle	NOUN
ddj-78	101	25	contains	contain	VERB
ddj-78	101	26	r	r	NOUN
ddj-78	101	27	=	=	PUNCT
ddj-78	101	28	n	n	CCONJ
ddj-78	101	29	/	/	SYM
ddj-78	101	30	m	m	NOUN
ddj-78	101	31	elements	element	NOUN
ddj-78	101	32	.	.	PUNCT
ddj-78	102	1	the	the	DET
ddj-78	102	2	number	number	NOUN
ddj-78	102	3	of	of	ADP
ddj-78	102	4	topologically	topologically	ADV
ddj-78	102	5	non	non	ADJ
ddj-78	102	6	-	-	ADJ
ddj-78	102	7	equivalent	equivalent	ADJ
ddj-78	102	8	cycles	cycle	NOUN
ddj-78	102	9	in	in	ADP
ddj-78	102	10	given	give	VERB
ddj-78	102	11	class	class	NOUN
ddj-78	102	12	with	with	ADP
ddj-78	102	13	h(top	h(top	ADJ
ddj-78	102	14	)	)	PUNCT
ddj-78	102	15	elements	element	NOUN
ddj-78	102	16	is	be	AUX
ddj-78	102	17	ntot	ntot	ADJ
ddj-78	102	18	=	=	PUNCT
ddj-78	102	19	h(top)/r	h(top)/r	ADJ
ddj-78	102	20	so	so	SCONJ
ddj-78	102	21	that	that	SCONJ
ddj-78	102	22	r	r	NOUN
ddj-78	102	23	must	must	AUX
ddj-78	102	24	be	be	AUX
ddj-78	102	25	a	a	DET
ddj-78	102	26	factor	factor	NOUN
ddj-78	102	27	of	of	ADP
ddj-78	102	28	h(top	h(top	ADJ
ddj-78	102	29	)	)	PUNCT
ddj-78	102	30	.	.	PUNCT
ddj-78	103	1	before	before	ADP
ddj-78	103	2	continuing	continue	VERB
ddj-78	103	3	it	it	PRON
ddj-78	103	4	is	be	AUX
ddj-78	103	5	good	good	ADJ
ddj-78	103	6	so	so	ADV
ddj-78	103	7	summarize	summarize	VERB
ddj-78	103	8	the	the	DET
ddj-78	103	9	geometry	geometry	NOUN
ddj-78	103	10	of	of	ADP
ddj-78	103	11	icosahedron	icosahedron	NOUN
ddj-78	103	12	shortly	shortly	ADV
ddj-78	103	13	.	.	PUNCT
ddj-78	104	1	there	there	PRON
ddj-78	104	2	are	be	VERB
ddj-78	104	3	20	20	NUM
ddj-78	104	4	faces	face	NOUN
ddj-78	104	5	which	which	PRON
ddj-78	104	6	are	be	AUX
ddj-78	104	7	triangles	triangle	NOUN
ddj-78	104	8	,	,	PUNCT
ddj-78	104	9	12	12	NUM
ddj-78	104	10	vertices	vertex	NOUN
ddj-78	104	11	,	,	PUNCT
ddj-78	104	12	and	and	CCONJ
ddj-78	104	13	30	30	NUM
ddj-78	104	14	edges	edge	NOUN
ddj-78	104	15	.	.	PUNCT
ddj-78	105	1	from	from	ADP
ddj-78	105	2	each	each	DET
ddj-78	105	3	vertex	vertex	NOUN
ddj-78	105	4	5	5	NUM
ddj-78	105	5	edges	edge	NOUN
ddj-78	105	6	.	.	PUNCT
ddj-78	106	1	therefore	therefore	ADV
ddj-78	106	2	the	the	DET
ddj-78	106	3	construction	construction	NOUN
ddj-78	106	4	of	of	ADP
ddj-78	106	5	hamiltonian	hamiltonian	ADJ
ddj-78	106	6	cycles	cycle	NOUN
ddj-78	106	7	means	mean	VERB
ddj-78	106	8	that	that	SCONJ
ddj-78	106	9	at	at	ADP
ddj-78	106	10	each	each	DET
ddj-78	106	11	vertex	vertex	NOUN
ddj-78	106	12	on	on	ADP
ddj-78	106	13	path	path	NOUN
ddj-78	106	14	one	one	PRON
ddj-78	106	15	must	must	AUX
ddj-78	106	16	select	select	VERB
ddj-78	106	17	between	between	ADP
ddj-78	106	18	four	four	NUM
ddj-78	106	19	options	option	NOUN
ddj-78	106	20	edges	edge	NOUN
ddj-78	106	21	since	since	SCONJ
ddj-78	106	22	one	one	PRON
ddj-78	106	23	can	can	AUX
ddj-78	106	24	not	not	PART
ddj-78	106	25	return	return	VERB
ddj-78	106	26	back	back	ADV
ddj-78	106	27	.	.	PUNCT
ddj-78	107	1	this	this	PRON
ddj-78	107	2	gives	give	VERB
ddj-78	107	3	412	412	NUM
ddj-78	107	4	=	=	SYM
ddj-78	107	5	224	224	NUM
ddj-78	107	6	∼	∼	NOUN
ddj-78	107	7	1.6	1.6	NUM
ddj-78	107	8	×	×	NOUN
ddj-78	107	9	107	107	NUM
ddj-78	107	10	alternatives	alternative	NOUN
ddj-78	107	11	to	to	PART
ddj-78	107	12	be	be	AUX
ddj-78	107	13	considered	consider	VERB
ddj-78	107	14	.	.	PUNCT
ddj-78	108	1	therefore	therefore	ADV
ddj-78	108	2	the	the	DET
ddj-78	108	3	numerical	numerical	ADJ
ddj-78	108	4	search	search	NOUN
ddj-78	108	5	should	should	AUX
ddj-78	108	6	be	be	AUX
ddj-78	108	7	relatively	relatively	ADV
ddj-78	108	8	easy	easy	ADJ
ddj-78	108	9	.	.	PUNCT
ddj-78	109	1	keeping	keep	VERB
ddj-78	109	2	account	account	NOUN
ddj-78	109	3	of	of	ADP
ddj-78	109	4	the	the	DET
ddj-78	109	5	points	point	NOUN
ddj-78	109	6	already	already	ADV
ddj-78	109	7	traversed	traverse	VERB
ddj-78	109	8	and	and	CCONJ
ddj-78	109	9	not	not	PART
ddj-78	109	10	allowing	allow	VERB
ddj-78	109	11	self	self	NOUN
ddj-78	109	12	intersections	intersection	NOUN
ddj-78	109	13	,	,	PUNCT
ddj-78	109	14	the	the	DET
ddj-78	109	15	actual	actual	ADJ
ddj-78	109	16	number	number	NOUN
ddj-78	109	17	of	of	ADP
ddj-78	109	18	choices	choice	NOUN
ddj-78	109	19	is	be	AUX
ddj-78	109	20	reduced	reduce	VERB
ddj-78	109	21	.	.	PUNCT
ddj-78	110	1	the	the	DET
ddj-78	110	2	construction	construction	NOUN
ddj-78	110	3	requires	require	VERB
ddj-78	110	4	labeling	labeling	NOUN
ddj-78	110	5	of	of	ADP
ddj-78	110	6	the	the	DET
ddj-78	110	7	vertices	vertex	NOUN
ddj-78	110	8	of	of	ADP
ddj-78	110	9	the	the	DET
ddj-78	110	10	icosahedron	icosahedron	NOUN
ddj-78	110	11	by	by	ADP
ddj-78	110	12	integers	integer	NOUN
ddj-78	110	13	1,	1,	NUM
ddj-78	110	14	...	...	PUNCT
ddj-78	110	15	,12	,12	PUNCT
ddj-78	110	16	in	in	ADP
ddj-78	110	17	some	some	DET
ddj-78	110	18	manner	manner	NOUN
ddj-78	110	19	and	and	CCONJ
ddj-78	110	20	defining	define	VERB
ddj-78	110	21	12	12	NUM
ddj-78	110	22	×	×	NOUN
ddj-78	110	23	12	12	NUM
ddj-78	110	24	matrix	matrix	NOUN
ddj-78	110	25	a(i	a(i	NOUN
ddj-78	110	26	,	,	PUNCT
ddj-78	110	27	j	j	PROPN
ddj-78	110	28	)	)	PUNCT
ddj-78	110	29	whose	whose	DET
ddj-78	110	30	element	element	NOUN
ddj-78	110	31	equals	equal	VERB
ddj-78	110	32	to	to	ADP
ddj-78	110	33	1	1	NUM
ddj-78	110	34	if	if	SCONJ
ddj-78	110	35	vertices	vertex	NOUN
ddj-78	110	36	are	be	AUX
ddj-78	110	37	neighbours	neighbour	NOUN
ddj-78	110	38	and	and	CCONJ
ddj-78	110	39	0	0	NUM
ddj-78	110	40	if	if	SCONJ
ddj-78	110	41	not	not	PART
ddj-78	110	42	.	.	PUNCT
ddj-78	111	1	only	only	ADV
ddj-78	111	2	the	the	DET
ddj-78	111	3	edges	edge	NOUN
ddj-78	111	4	for	for	ADP
ddj-78	111	5	with	with	ADP
ddj-78	111	6	a(i	a(i	PROPN
ddj-78	111	7	,	,	PUNCT
ddj-78	111	8	j	j	NOUN
ddj-78	111	9	)	)	PUNCT
ddj-78	111	10	=	=	SYM
ddj-78	111	11	1	1	NUM
ddj-78	111	12	holds	hold	VERB
ddj-78	111	13	true	true	ADJ
ddj-78	111	14	are	be	AUX
ddj-78	111	15	allowed	allow	VERB
ddj-78	111	16	on	on	ADP
ddj-78	111	17	the	the	DET
ddj-78	111	18	path	path	NOUN
ddj-78	111	19	.	.	PUNCT
ddj-78	112	1	a	a	DET
ddj-78	112	2	concrete	concrete	ADJ
ddj-78	112	3	representation	representation	NOUN
ddj-78	112	4	of	of	ADP
ddj-78	112	5	icosahedron	icosahedron	NUM
ddj-78	112	6	as	as	ADP
ddj-78	112	7	a	a	DET
ddj-78	112	8	collection	collection	NOUN
ddj-78	112	9	of	of	ADP
ddj-78	112	10	triangles	triangle	NOUN
ddj-78	112	11	in	in	ADP
ddj-78	112	12	plane	plane	NOUN
ddj-78	112	13	with	with	ADP
ddj-78	112	14	suitable	suitable	ADJ
ddj-78	112	15	identifications	identification	NOUN
ddj-78	112	16	of	of	ADP
ddj-78	112	17	certain	certain	ADJ
ddj-78	112	18	edges	edge	NOUN
ddj-78	112	19	is	be	AUX
ddj-78	112	20	needed	need	VERB
ddj-78	112	21	.	.	PUNCT
ddj-78	113	1	this	this	PRON
ddj-78	113	2	helps	help	VERB
ddj-78	113	3	also	also	ADV
ddj-78	113	4	to	to	PART
ddj-78	113	5	visualize	visualize	VERB
ddj-78	113	6	the	the	DET
ddj-78	113	7	classification	classification	NOUN
ddj-78	113	8	of	of	ADP
ddj-78	113	9	trianbles	trianble	NOUN
ddj-78	113	10	to	to	ADP
ddj-78	113	11	three	three	NUM
ddj-78	113	12	types	type	NOUN
ddj-78	113	13	discussed	discuss	VERB
ddj-78	113	14	below	below	ADV
ddj-78	113	15	.	.	PUNCT
ddj-78	114	1	this	this	PRON
ddj-78	114	2	can	can	AUX
ddj-78	114	3	be	be	AUX
ddj-78	114	4	found	find	VERB
ddj-78	114	5	in	in	ADP
ddj-78	114	6	the	the	DET
ddj-78	114	7	wikipedia	wikipedia	PROPN
ddj-78	114	8	article	article	PROPN
ddj-78	114	9	.	.	PUNCT
ddj-78	115	1	2.2.2	2.2.2	NUM
ddj-78	115	2	numbers	number	NOUN
ddj-78	115	3	of	of	ADP
ddj-78	115	4	different	different	ADJ
ddj-78	115	5	triangles	triangle	NOUN
ddj-78	115	6	as	as	ADP
ddj-78	115	7	characterizers	characterizer	NOUN
ddj-78	115	8	of	of	ADP
ddj-78	115	9	harmony	harmony	NOUN
ddj-78	115	10	a	a	DET
ddj-78	115	11	possible	possible	ADJ
ddj-78	115	12	interpretation	interpretation	NOUN
ddj-78	115	13	for	for	ADP
ddj-78	115	14	topologically	topologically	ADV
ddj-78	115	15	non	non	ADJ
ddj-78	115	16	-	-	ADJ
ddj-78	115	17	equivalent	equivalent	ADJ
ddj-78	115	18	paths	path	NOUN
ddj-78	115	19	is	be	AUX
ddj-78	115	20	as	as	ADP
ddj-78	115	21	different	different	ADJ
ddj-78	115	22	notions	notion	NOUN
ddj-78	115	23	of	of	ADP
ddj-78	115	24	harmony	harmony	NOUN
ddj-78	115	25	.	.	PUNCT
ddj-78	116	1	isbn	isbn	ADJ
ddj-78	116	2	:	:	PUNCT
ddj-78	116	3	2159	2159	NUM
ddj-78	116	4	-	-	PUNCT
ddj-78	116	5	046x	046x	NOUN
ddj-78	116	6	dna	dna	NOUN
ddj-78	116	7	decipher	decipher	PROPN
ddj-78	116	8	journal	journal	PROPN
ddj-78	116	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	116	10	published	publish	VERB
ddj-78	116	11	by	by	ADP
ddj-78	116	12	quantumdream	quantumdream	PROPN
ddj-78	116	13	,	,	PUNCT
ddj-78	116	14	inc	inc	PROPN
ddj-78	116	15	.	.	PUNCT
ddj-78	117	1	http://en.wikipedia.org/wiki/icosahedron	http://en.wikipedia.org/wiki/icosahedron	PROPN
ddj-78	117	2	dna	dna	PROPN
ddj-78	117	3	decipher	decipher	PROPN
ddj-78	117	4	journal	journal	NOUN
ddj-78	117	5	|	|	ADV
ddj-78	117	6	october	october	PROPN
ddj-78	117	7	2014	2014	NUM
ddj-78	117	8	|	|	ADV
ddj-78	117	9	volume	volume	NOUN
ddj-78	117	10	4	4	NUM
ddj-78	117	11	|	|	NOUN
ddj-78	117	12	issue	issue	VERB
ddj-78	117	13	2	2	NUM
ddj-78	117	14	|	|	CCONJ
ddj-78	117	15	pp	pp	ADJ
ddj-78	117	16	.	.	PUNCT
ddj-78	118	1	141	141	NUM
ddj-78	118	2	-	-	SYM
ddj-78	118	3	160	160	NUM
ddj-78	118	4	145	145	NUM
ddj-78	118	5	pitkänen	pitkänen	NOUN
ddj-78	118	6	,	,	PUNCT
ddj-78	118	7	m.	m.	NOUN
ddj-78	118	8	pythagoras	pythagoras	PROPN
ddj-78	118	9	,	,	PUNCT
ddj-78	118	10	music	music	NOUN
ddj-78	118	11	,	,	PUNCT
ddj-78	118	12	sacred	sacred	ADJ
ddj-78	118	13	geometry	geometry	NOUN
ddj-78	118	14	and	and	CCONJ
ddj-78	118	15	genetic	genetic	ADJ
ddj-78	118	16	code	code	NOUN
ddj-78	118	17	1	1	NUM
ddj-78	118	18	.	.	PUNCT
ddj-78	119	1	proceeding	proceed	VERB
ddj-78	119	2	in	in	ADP
ddj-78	119	3	pythagorean	pythagorean	PROPN
ddj-78	119	4	spirit	spirit	PROPN
ddj-78	119	5	,	,	PUNCT
ddj-78	119	6	the	the	DET
ddj-78	119	7	neighboring	neighboring	NOUN
ddj-78	119	8	points	point	NOUN
ddj-78	119	9	would	would	AUX
ddj-78	119	10	naturally	naturally	ADV
ddj-78	119	11	correspond	correspond	VERB
ddj-78	119	12	to	to	ADP
ddj-78	119	13	progression	progression	NOUN
ddj-78	119	14	by	by	ADP
ddj-78	119	15	fifths	fifth	NOUN
ddj-78	119	16	that	that	PRON
ddj-78	119	17	is	be	AUX
ddj-78	119	18	scalings	scaling	NOUN
ddj-78	119	19	by	by	ADP
ddj-78	119	20	powers	power	NOUN
ddj-78	119	21	of	of	ADP
ddj-78	119	22	3/2	3/2	NUM
ddj-78	119	23	or	or	CCONJ
ddj-78	119	24	in	in	ADP
ddj-78	119	25	equal	equal	ADJ
ddj-78	119	26	temperated	temperate	VERB
ddj-78	119	27	scale	scale	NOUN
ddj-78	119	28	by	by	ADP
ddj-78	119	29	powers	power	NOUN
ddj-78	119	30	of	of	ADP
ddj-78	119	31	27/12	27/12	NUM
ddj-78	119	32	.	.	PUNCT
ddj-78	120	1	this	this	PRON
ddj-78	120	2	would	would	AUX
ddj-78	120	3	mean	mean	VERB
ddj-78	120	4	that	that	SCONJ
ddj-78	120	5	two	two	NUM
ddj-78	120	6	subsequent	subsequent	ADJ
ddj-78	120	7	vertices	vertex	NOUN
ddj-78	120	8	would	would	AUX
ddj-78	120	9	correspond	correspond	VERB
ddj-78	120	10	to	to	ADP
ddj-78	120	11	quint	quint	NOUN
ddj-78	120	12	.	.	PUNCT
ddj-78	121	1	2	2	X
ddj-78	121	2	.	.	X
ddj-78	121	3	the	the	DET
ddj-78	121	4	twenty	twenty	NUM
ddj-78	121	5	triangles	triangle	NOUN
ddj-78	121	6	of	of	ADP
ddj-78	121	7	the	the	DET
ddj-78	121	8	icosahedron	icosahedron	X
ddj-78	121	9	would	would	AUX
ddj-78	121	10	naturally	naturally	ADV
ddj-78	121	11	correspond	correspond	VERB
ddj-78	121	12	to	to	ADP
ddj-78	121	13	3	3	NUM
ddj-78	121	14	-	-	PUNCT
ddj-78	121	15	chords	chord	NOUN
ddj-78	121	16	.	.	PUNCT
ddj-78	122	1	triangles	triangle	NOUN
ddj-78	122	2	can	can	AUX
ddj-78	122	3	contain	contain	VERB
ddj-78	122	4	either	either	DET
ddj-78	122	5	0	0	NUM
ddj-78	122	6	,	,	PUNCT
ddj-78	122	7	1	1	NUM
ddj-78	122	8	,	,	PUNCT
ddj-78	122	9	or	or	CCONJ
ddj-78	122	10	1	1	NUM
ddj-78	122	11	edges	edge	NOUN
ddj-78	122	12	of	of	ADP
ddj-78	122	13	the	the	DET
ddj-78	122	14	12	12	NUM
ddj-78	122	15	-	-	PUNCT
ddj-78	122	16	edge	edge	NOUN
ddj-78	122	17	scale	scale	NOUN
ddj-78	122	18	path	path	NOUN
ddj-78	122	19	.	.	PUNCT
ddj-78	123	1	the	the	DET
ddj-78	123	2	triangle	triangle	NOUN
ddj-78	123	3	containing	contain	VERB
ddj-78	123	4	3	3	NUM
ddj-78	123	5	edges	edge	NOUN
ddj-78	123	6	is	be	AUX
ddj-78	123	7	not	not	PART
ddj-78	123	8	possible	possible	ADJ
ddj-78	123	9	since	since	SCONJ
ddj-78	123	10	it	it	PRON
ddj-78	123	11	would	would	AUX
ddj-78	123	12	reside	reside	VERB
ddj-78	123	13	on	on	ADP
ddj-78	123	14	a	a	DET
ddj-78	123	15	self	self	NOUN
ddj-78	123	16	-	-	PUNCT
ddj-78	123	17	intersecting	intersecting	ADJ
ddj-78	123	18	path	path	NOUN
ddj-78	123	19	.	.	PUNCT
ddj-78	124	1	a	a	DET
ddj-78	124	2	triangle	triangle	NOUN
ddj-78	124	3	containing	contain	VERB
ddj-78	124	4	one	one	NUM
ddj-78	124	5	edge	edge	NOUN
ddj-78	124	6	of	of	ADP
ddj-78	124	7	path	path	NOUN
ddj-78	124	8	the	the	DET
ddj-78	124	9	chord	chord	NOUN
ddj-78	124	10	would	would	AUX
ddj-78	124	11	contain	contain	VERB
ddj-78	124	12	quint	quint	NOUN
ddj-78	124	13	which	which	PRON
ddj-78	124	14	suggest	suggest	VERB
ddj-78	124	15	a	a	DET
ddj-78	124	16	chord	chord	NOUN
ddj-78	124	17	containing	contain	VERB
ddj-78	124	18	basic	basic	ADJ
ddj-78	124	19	note	note	NOUN
ddj-78	124	20	,	,	PUNCT
ddj-78	124	21	quint	quint	NOUN
ddj-78	124	22	and	and	CCONJ
ddj-78	124	23	minor	minor	ADJ
ddj-78	124	24	or	or	CCONJ
ddj-78	124	25	major	major	ADJ
ddj-78	124	26	third	third	NOUN
ddj-78	124	27	.	.	PUNCT
ddj-78	125	1	the	the	DET
ddj-78	125	2	triangle	triangle	NOUN
ddj-78	125	3	containing	contain	VERB
ddj-78	125	4	two	two	NUM
ddj-78	125	5	edges	edge	NOUN
ddj-78	125	6	would	would	AUX
ddj-78	125	7	contain	contain	VERB
ddj-78	125	8	subsequent	subsequent	ADJ
ddj-78	125	9	quints	quint	NOUN
ddj-78	125	10	cdg	cdg	PROPN
ddj-78	125	11	is	be	AUX
ddj-78	125	12	one	one	NUM
ddj-78	125	13	possible	possible	ADJ
ddj-78	125	14	example	example	NOUN
ddj-78	125	15	by	by	ADP
ddj-78	125	16	octave	octave	NOUN
ddj-78	125	17	equivalence	equivalence	NOUN
ddj-78	125	18	.	.	PUNCT
ddj-78	126	1	if	if	SCONJ
ddj-78	126	2	the	the	DET
ddj-78	126	3	triangle	triangle	NOUN
ddj-78	126	4	contains	contain	VERB
ddj-78	126	5	no	no	DET
ddj-78	126	6	edges	edge	NOUN
ddj-78	126	7	of	of	ADP
ddj-78	126	8	the	the	DET
ddj-78	126	9	path	path	NOUN
ddj-78	126	10	one	one	PRON
ddj-78	126	11	can	can	AUX
ddj-78	126	12	say	say	VERB
ddj-78	126	13	that	that	SCONJ
ddj-78	126	14	the	the	DET
ddj-78	126	15	chord	chord	NOUN
ddj-78	126	16	contains	contain	VERB
ddj-78	126	17	no	no	DET
ddj-78	126	18	quints	quint	NOUN
ddj-78	126	19	.	.	PUNCT
ddj-78	127	1	the	the	DET
ddj-78	127	2	numbers	number	NOUN
ddj-78	127	3	of	of	ADP
ddj-78	127	4	triangles	triangle	NOUN
ddj-78	127	5	classified	classify	VERB
ddj-78	127	6	according	accord	VERB
ddj-78	127	7	to	to	ADP
ddj-78	127	8	the	the	DET
ddj-78	127	9	number	number	NOUN
ddj-78	127	10	of	of	ADP
ddj-78	127	11	path	path	NOUN
ddj-78	127	12	edges	edge	NOUN
ddj-78	127	13	contained	contain	VERB
ddj-78	127	14	by	by	ADP
ddj-78	127	15	them	they	PRON
ddj-78	127	16	serves	serve	VERB
ddj-78	127	17	as	as	ADP
ddj-78	127	18	the	the	DET
ddj-78	127	19	first	first	ADJ
ddj-78	127	20	classification	classification	NOUN
ddj-78	127	21	criterion	criterion	NOUN
ddj-78	127	22	for	for	ADP
ddj-78	127	23	a	a	DET
ddj-78	127	24	given	give	VERB
ddj-78	127	25	harmony	harmony	NOUN
ddj-78	127	26	characterized	characterize	VERB
ddj-78	127	27	by	by	ADP
ddj-78	127	28	the	the	DET
ddj-78	127	29	hamiltonian	hamiltonian	ADJ
ddj-78	127	30	cycle	cycle	NOUN
ddj-78	127	31	(	(	PUNCT
ddj-78	127	32	note	note	VERB
ddj-78	127	33	that	that	SCONJ
ddj-78	127	34	one	one	PRON
ddj-78	127	35	can	can	AUX
ddj-78	127	36	not	not	PART
ddj-78	127	37	exclude	exclude	VERB
ddj-78	127	38	the	the	DET
ddj-78	127	39	possibly	possibly	ADV
ddj-78	127	40	of	of	ADP
ddj-78	127	41	non	non	ADJ
ddj-78	127	42	-	-	ADJ
ddj-78	127	43	closed	closed	ADJ
ddj-78	127	44	paths	path	NOUN
ddj-78	127	45	since	since	SCONJ
ddj-78	127	46	pythagorean	pythagorean	PROPN
ddj-78	127	47	construction	construction	NOUN
ddj-78	127	48	of	of	ADP
ddj-78	127	49	the	the	DET
ddj-78	127	50	scale	scale	NOUN
ddj-78	127	51	by	by	ADP
ddj-78	127	52	quints	quint	NOUN
ddj-78	127	53	does	do	AUX
ddj-78	127	54	not	not	PART
ddj-78	127	55	yield	yield	VERB
ddj-78	127	56	quite	quite	ADV
ddj-78	127	57	precisely	precisely	ADV
ddj-78	127	58	octave	octave	ADJ
ddj-78	127	59	as	as	ADP
ddj-78	127	60	outcome	outcome	NOUN
ddj-78	127	61	)	)	PUNCT
ddj-78	127	62	.	.	PUNCT
ddj-78	128	1	figure	figure	VERB
ddj-78	128	2	1	1	NUM
ddj-78	128	3	:	:	PUNCT
ddj-78	128	4	there	there	PRON
ddj-78	128	5	3	3	NUM
ddj-78	128	6	different	different	ADJ
ddj-78	128	7	types	type	NOUN
ddj-78	128	8	of	of	ADP
ddj-78	128	9	triangles	triangle	NOUN
ddj-78	128	10	characterized	characterize	VERB
ddj-78	128	11	by	by	ADP
ddj-78	128	12	the	the	DET
ddj-78	128	13	number	number	NOUN
ddj-78	128	14	of	of	ADP
ddj-78	128	15	edges	edge	NOUN
ddj-78	128	16	contained	contain	VERB
ddj-78	128	17	by	by	ADP
ddj-78	128	18	them	they	PRON
ddj-78	128	19	.	.	PUNCT
ddj-78	129	1	this	this	DET
ddj-78	129	2	predicts	predict	VERB
ddj-78	129	3	chords	chord	VERB
ddj-78	129	4	with	with	ADP
ddj-78	129	5	0,1	0,1	NUM
ddj-78	129	6	or	or	CCONJ
ddj-78	129	7	2	2	NUM
ddj-78	129	8	quints	quint	NOUN
ddj-78	129	9	.	.	PUNCT
ddj-78	130	1	consider	consider	VERB
ddj-78	130	2	now	now	ADV
ddj-78	130	3	the	the	DET
ddj-78	130	4	situation	situation	NOUN
ddj-78	130	5	in	in	ADP
ddj-78	130	6	more	more	ADJ
ddj-78	130	7	detail	detail	NOUN
ddj-78	130	8	.	.	PUNCT
ddj-78	131	1	1	1	X
ddj-78	131	2	.	.	X
ddj-78	131	3	the	the	DET
ddj-78	131	4	topologically	topologically	ADV
ddj-78	131	5	equivalent	equivalent	ADJ
ddj-78	131	6	cycles	cycle	NOUN
ddj-78	131	7	must	must	AUX
ddj-78	131	8	have	have	VERB
ddj-78	131	9	same	same	ADJ
ddj-78	131	10	numbers	number	NOUN
ddj-78	131	11	of	of	ADP
ddj-78	131	12	faces	face	NOUN
ddj-78	131	13	containing	contain	VERB
ddj-78	131	14	0	0	NUM
ddj-78	131	15	,	,	PUNCT
ddj-78	131	16	1	1	NUM
ddj-78	131	17	,	,	PUNCT
ddj-78	131	18	or	or	CCONJ
ddj-78	131	19	2	2	NUM
ddj-78	131	20	edges	edge	NOUN
ddj-78	131	21	of	of	ADP
ddj-78	131	22	the	the	DET
ddj-78	131	23	hamiltonian	hamiltonian	ADJ
ddj-78	131	24	path	path	NOUN
ddj-78	131	25	since	since	SCONJ
ddj-78	131	26	isometries	isometry	NOUN
ddj-78	131	27	do	do	AUX
ddj-78	131	28	not	not	PART
ddj-78	131	29	change	change	VERB
ddj-78	131	30	these	these	DET
ddj-78	131	31	numbers	number	NOUN
ddj-78	131	32	.	.	PUNCT
ddj-78	132	1	let	let	VERB
ddj-78	132	2	us	we	PRON
ddj-78	132	3	denotes	denote	VERB
ddj-78	132	4	these	these	DET
ddj-78	132	5	numbers	number	NOUN
ddj-78	132	6	by	by	ADP
ddj-78	132	7	n0	n0	ADJ
ddj-78	132	8	,	,	PUNCT
ddj-78	132	9	n1	n1	PROPN
ddj-78	132	10	and	and	CCONJ
ddj-78	132	11	n2	n2	ADJ
ddj-78	132	12	.	.	PUNCT
ddj-78	133	1	the	the	DET
ddj-78	133	2	total	total	ADJ
ddj-78	133	3	number	number	NOUN
ddj-78	133	4	of	of	ADP
ddj-78	133	5	faces	face	NOUN
ddj-78	133	6	is	be	AUX
ddj-78	133	7	20	20	NUM
ddj-78	133	8	so	so	SCONJ
ddj-78	133	9	that	that	SCONJ
ddj-78	133	10	one	one	PRON
ddj-78	133	11	has	have	VERB
ddj-78	133	12	n0	n0	ADJ
ddj-78	133	13	+	+	CCONJ
ddj-78	133	14	n1	n1	ADJ
ddj-78	133	15	+	+	CCONJ
ddj-78	133	16	n2	n2	NOUN
ddj-78	133	17	=	=	ADJ
ddj-78	133	18	20	20	NUM
ddj-78	133	19	.	.	PUNCT
ddj-78	134	1	furthermore	furthermore	ADV
ddj-78	134	2	,	,	PUNCT
ddj-78	134	3	each	each	PRON
ddj-78	134	4	of	of	ADP
ddj-78	134	5	the	the	DET
ddj-78	134	6	12	12	NUM
ddj-78	134	7	edges	edge	NOUN
ddj-78	134	8	on	on	ADP
ddj-78	134	9	the	the	DET
ddj-78	134	10	path	path	NOUN
ddj-78	134	11	is	be	AUX
ddj-78	134	12	contained	contain	VERB
ddj-78	134	13	by	by	ADP
ddj-78	134	14	two	two	NUM
ddj-78	134	15	faces	face	NOUN
ddj-78	134	16	so	so	SCONJ
ddj-78	134	17	that	that	SCONJ
ddj-78	134	18	by	by	ADP
ddj-78	134	19	summing	sum	VERB
ddj-78	134	20	over	over	ADP
ddj-78	134	21	the	the	DET
ddj-78	134	22	numbers	number	NOUN
ddj-78	134	23	of	of	ADP
ddj-78	134	24	edges	edge	NOUN
ddj-78	134	25	associated	associate	VERB
ddj-78	134	26	with	with	ADP
ddj-78	134	27	the	the	DET
ddj-78	134	28	faces	face	NOUN
ddj-78	134	29	one	one	PRON
ddj-78	134	30	obtains	obtain	VERB
ddj-78	134	31	twice	twice	DET
ddj-78	134	32	the	the	DET
ddj-78	134	33	number	number	NOUN
ddj-78	134	34	of	of	ADP
ddj-78	134	35	edges	edge	NOUN
ddj-78	134	36	:	:	PUNCT
ddj-78	134	37	0×	0×	NUM
ddj-78	134	38	n0	n0	X
ddj-78	135	1	+	+	CCONJ
ddj-78	135	2	1×	1×	NUM
ddj-78	135	3	n1	n1	NOUN
ddj-78	135	4	+	+	CCONJ
ddj-78	135	5	2×	2×	NUM
ddj-78	135	6	n2	n2	NOUN
ddj-78	135	7	=	=	SYM
ddj-78	135	8	2×	2×	NUM
ddj-78	135	9	12	12	NUM
ddj-78	135	10	=	=	SYM
ddj-78	135	11	24	24	NUM
ddj-78	135	12	.	.	PUNCT
ddj-78	136	1	from	from	ADP
ddj-78	136	2	these	these	DET
ddj-78	136	3	constraints	constraint	NOUN
ddj-78	136	4	one	one	PRON
ddj-78	136	5	can	can	AUX
ddj-78	136	6	solve	solve	VERB
ddj-78	136	7	n0	n0	NOUN
ddj-78	136	8	and	and	CCONJ
ddj-78	136	9	n1	n1	NOUN
ddj-78	136	10	as	as	ADP
ddj-78	136	11	function	function	NOUN
ddj-78	136	12	of	of	ADP
ddj-78	136	13	n2	n2	ADJ
ddj-78	136	14	:	:	PUNCT
ddj-78	136	15	n0	n0	ADJ
ddj-78	136	16	=	=	SYM
ddj-78	136	17	n2	n2	PROPN
ddj-78	136	18	−	−	PROPN
ddj-78	136	19	4	4	NUM
ddj-78	136	20	,	,	PUNCT
ddj-78	136	21	n2	n2	X
ddj-78	136	22	≥	≥	NUM
ddj-78	136	23	4	4	NUM
ddj-78	136	24	,	,	PUNCT
ddj-78	136	25	n1	n1	NOUN
ddj-78	136	26	=	=	SYM
ddj-78	136	27	24−	24−	NUM
ddj-78	136	28	2n2	2n2	NUM
ddj-78	136	29	,	,	PUNCT
ddj-78	136	30	n2	n2	ADJ
ddj-78	136	31	≤	≤	NUM
ddj-78	136	32	12	12	NUM
ddj-78	136	33	.	.	PUNCT
ddj-78	137	1	if	if	SCONJ
ddj-78	137	2	these	these	DET
ddj-78	137	3	integers	integer	NOUN
ddj-78	137	4	characterize	characterize	VERB
ddj-78	137	5	the	the	DET
ddj-78	137	6	topological	topological	ADJ
ddj-78	137	7	equivalence	equivalence	NOUN
ddj-78	137	8	completely	completely	ADV
ddj-78	137	9	and	and	CCONJ
ddj-78	137	10	if	if	SCONJ
ddj-78	137	11	the	the	DET
ddj-78	137	12	allowed	allow	VERB
ddj-78	137	13	combinations	combination	NOUN
ddj-78	137	14	are	be	AUX
ddj-78	137	15	realized	realize	VERB
ddj-78	137	16	,	,	PUNCT
ddj-78	137	17	one	one	PRON
ddj-78	137	18	would	would	AUX
ddj-78	137	19	have	have	VERB
ddj-78	137	20	12	12	NUM
ddj-78	137	21	-	-	SYM
ddj-78	137	22	4=8	4=8	NUM
ddj-78	137	23	topologically	topologically	ADV
ddj-78	137	24	nonequivalent	nonequivalent	ADJ
ddj-78	137	25	paths	path	NOUN
ddj-78	137	26	.	.	PUNCT
ddj-78	138	1	the	the	DET
ddj-78	138	2	actual	actual	ADJ
ddj-78	138	3	number	number	NOUN
ddj-78	138	4	is	be	AUX
ddj-78	138	5	ntot	ntot	NOUN
ddj-78	138	6	=	=	SYM
ddj-78	138	7	2k	2k	NUM
ddj-78	138	8	,	,	PUNCT
ddj-78	138	9	k	k	PROPN
ddj-78	138	10	≥	≥	NUM
ddj-78	138	11	7	7	NUM
ddj-78	138	12	,	,	PUNCT
ddj-78	138	13	so	so	SCONJ
ddj-78	138	14	that	that	SCONJ
ddj-78	138	15	the	the	DET
ddj-78	138	16	integers	integer	NOUN
ddj-78	138	17	can	can	AUX
ddj-78	138	18	not	not	PART
ddj-78	138	19	characterize	characterize	VERB
ddj-78	138	20	the	the	DET
ddj-78	138	21	topology	topology	NOUN
ddj-78	138	22	of	of	ADP
ddj-78	138	23	the	the	DET
ddj-78	138	24	path	path	NOUN
ddj-78	138	25	completely	completely	ADV
ddj-78	138	26	.	.	PUNCT
ddj-78	139	1	isbn	isbn	ADJ
ddj-78	139	2	:	:	PUNCT
ddj-78	139	3	2159	2159	NUM
ddj-78	139	4	-	-	PUNCT
ddj-78	139	5	046x	046x	NOUN
ddj-78	139	6	dna	dna	NOUN
ddj-78	139	7	decipher	decipher	PROPN
ddj-78	139	8	journal	journal	PROPN
ddj-78	139	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	139	10	published	publish	VERB
ddj-78	139	11	by	by	ADP
ddj-78	139	12	quantumdream	quantumdream	PROPN
ddj-78	139	13	,	,	PUNCT
ddj-78	139	14	inc	inc	PROPN
ddj-78	139	15	.	.	PROPN
ddj-78	139	16	dna	dna	PROPN
ddj-78	139	17	decipher	decipher	PROPN
ddj-78	139	18	journal	journal	PROPN
ddj-78	140	1	|	|	ADV
ddj-78	140	2	october	october	PROPN
ddj-78	140	3	2014	2014	NUM
ddj-78	140	4	|	|	ADV
ddj-78	140	5	volume	volume	NOUN
ddj-78	140	6	4	4	NUM
ddj-78	140	7	|	|	NOUN
ddj-78	140	8	issue	issue	VERB
ddj-78	140	9	2	2	NUM
ddj-78	140	10	|	|	CCONJ
ddj-78	140	11	pp	pp	ADJ
ddj-78	140	12	.	.	PUNCT
ddj-78	141	1	141	141	NUM
ddj-78	141	2	-	-	SYM
ddj-78	141	3	160	160	NUM
ddj-78	141	4	146	146	NUM
ddj-78	141	5	pitkänen	pitkänen	NOUN
ddj-78	141	6	,	,	PUNCT
ddj-78	141	7	m.	m.	NOUN
ddj-78	141	8	pythagoras	pythagoras	PROPN
ddj-78	141	9	,	,	PUNCT
ddj-78	141	10	music	music	NOUN
ddj-78	141	11	,	,	PUNCT
ddj-78	141	12	sacred	sacred	ADJ
ddj-78	141	13	geometry	geometry	NOUN
ddj-78	141	14	and	and	CCONJ
ddj-78	141	15	genetic	genetic	ADJ
ddj-78	141	16	code	code	NOUN
ddj-78	141	17	2	2	NUM
ddj-78	141	18	.	.	PUNCT
ddj-78	142	1	the	the	DET
ddj-78	142	2	number	number	NOUN
ddj-78	142	3	of	of	ADP
ddj-78	142	4	hamiltonian	hamiltonian	ADJ
ddj-78	142	5	paths	path	NOUN
ddj-78	142	6	on	on	ADP
ddj-78	142	7	icosahedron	icosahedron	PROPN
ddj-78	142	8	is	be	AUX
ddj-78	142	9	known	know	VERB
ddj-78	142	10	to	to	PART
ddj-78	142	11	be	be	AUX
ddj-78	142	12	2560	2560	NUM
ddj-78	142	13	[	[	X
ddj-78	142	14	1	1	NUM
ddj-78	142	15	]	]	PUNCT
ddj-78	142	16	.	.	PUNCT
ddj-78	143	1	numerical	numerical	ADJ
ddj-78	143	2	calculations	calculation	NOUN
ddj-78	143	3	[	[	X
ddj-78	143	4	2	2	X
ddj-78	143	5	]	]	PUNCT
ddj-78	143	6	suggest	suggest	VERB
ddj-78	143	7	that	that	SCONJ
ddj-78	143	8	the	the	DET
ddj-78	143	9	number	number	NOUN
ddj-78	143	10	of	of	ADP
ddj-78	143	11	hamiltonian	hamiltonian	ADJ
ddj-78	143	12	cycles	cycle	NOUN
ddj-78	143	13	is	be	AUX
ddj-78	143	14	210	210	NUM
ddj-78	143	15	=	=	SYM
ddj-78	143	16	1024	1024	NUM
ddj-78	143	17	.	.	PUNCT
ddj-78	144	1	this	this	PRON
ddj-78	144	2	would	would	AUX
ddj-78	144	3	mean	mean	VERB
ddj-78	144	4	that	that	SCONJ
ddj-78	144	5	the	the	DET
ddj-78	144	6	sum	sum	NOUN
ddj-78	144	7	over	over	ADP
ddj-78	144	8	the	the	DET
ddj-78	144	9	numbers	number	NOUN
ddj-78	144	10	n(n2	n(n2	ADV
ddj-78	144	11	)	)	PUNCT
ddj-78	144	12	if	if	SCONJ
ddj-78	144	13	cycles	cycle	NOUN
ddj-78	144	14	associated	associate	VERB
ddj-78	144	15	with	with	ADP
ddj-78	144	16	differ	differ	ADJ
ddj-78	144	17	values	value	NOUN
ddj-78	144	18	of	of	ADP
ddj-78	144	19	n2	n2	ADJ
ddj-78	144	20	satisfies	satisfie	NOUN
ddj-78	144	21	12∑	12∑	NUM
ddj-78	144	22	n2=4	n2=4	PROPN
ddj-78	144	23	∑	∑	PUNCT
ddj-78	144	24	i	i	PRON
ddj-78	144	25	n(n2	n(n2	VERB
ddj-78	144	26	,	,	PUNCT
ddj-78	144	27	i	i	NOUN
ddj-78	144	28	)	)	PUNCT
ddj-78	144	29	)	)	PUNCT
ddj-78	145	1	=	=	SYM
ddj-78	145	2	210	210	NUM
ddj-78	145	3	.	.	PUNCT
ddj-78	146	1	n(n2	n(n2	PROPN
ddj-78	146	2	,	,	PUNCT
ddj-78	146	3	i	i	PRON
ddj-78	146	4	)	)	PUNCT
ddj-78	146	5	is	be	AUX
ddj-78	146	6	the	the	DET
ddj-78	146	7	number	number	NOUN
ddj-78	146	8	of	of	ADP
ddj-78	146	9	paths	path	NOUN
ddj-78	146	10	of	of	ADP
ddj-78	146	11	given	give	VERB
ddj-78	146	12	topology	topology	NOUN
ddj-78	146	13	with	with	ADP
ddj-78	146	14	fixed	fix	VERB
ddj-78	146	15	n2	n2	NOUN
ddj-78	146	16	.	.	PUNCT
ddj-78	147	1	the	the	DET
ddj-78	147	2	numbers	number	NOUN
ddj-78	147	3	n(n2	n(n2	VERB
ddj-78	147	4	,	,	PUNCT
ddj-78	147	5	i	i	PRON
ddj-78	147	6	)	)	PUNCT
ddj-78	147	7	are	be	AUX
ddj-78	147	8	integers	integer	NOUN
ddj-78	147	9	which	which	PRON
ddj-78	147	10	are	be	AUX
ddj-78	147	11	factors	factor	NOUN
ddj-78	147	12	of	of	ADP
ddj-78	147	13	n	n	NOUN
ddj-78	147	14	=	=	SYM
ddj-78	147	15	120	120	NUM
ddj-78	147	16	of	of	ADP
ddj-78	147	17	the	the	DET
ddj-78	147	18	order	order	NOUN
ddj-78	147	19	of	of	ADP
ddj-78	147	20	the	the	DET
ddj-78	147	21	isometry	isometry	PROPN
ddj-78	147	22	group	group	NOUN
ddj-78	147	23	of	of	ADP
ddj-78	147	24	the	the	DET
ddj-78	147	25	icosahedron	icosahedron	PROPN
ddj-78	147	26	.	.	PUNCT
ddj-78	148	1	the	the	DET
ddj-78	148	2	average	average	NOUN
ddj-78	148	3	of	of	ADP
ddj-78	148	4	n(n2	n(n2	NOUN
ddj-78	148	5	,	,	PUNCT
ddj-78	148	6	i	i	PRON
ddj-78	148	7	)	)	PUNCT
ddj-78	148	8	is	be	AUX
ddj-78	148	9	27	27	NUM
ddj-78	148	10	=	=	SYM
ddj-78	148	11	128	128	NUM
ddj-78	148	12	.	.	PUNCT
ddj-78	148	13	2.2.3	2.2.3	NUM
ddj-78	148	14	additional	additional	ADJ
ddj-78	148	15	topological	topological	ADJ
ddj-78	148	16	invariants	invariant	NOUN
ddj-78	148	17	characterizing	characterize	VERB
ddj-78	148	18	the	the	DET
ddj-78	148	19	notion	notion	NOUN
ddj-78	148	20	of	of	ADP
ddj-78	148	21	harmony	harmony	NOUN
ddj-78	148	22	the	the	DET
ddj-78	148	23	interpretation	interpretation	NOUN
ddj-78	148	24	of	of	ADP
ddj-78	148	25	amino	amino	NOUN
ddj-78	148	26	-	-	PUNCT
ddj-78	148	27	acids	acid	NOUN
ddj-78	148	28	in	in	ADP
ddj-78	148	29	terms	term	NOUN
ddj-78	148	30	of	of	ADP
ddj-78	148	31	20	20	NUM
ddj-78	148	32	triangles	triangle	NOUN
ddj-78	148	33	of	of	ADP
ddj-78	148	34	icosahedron	icosahedron	PROPN
ddj-78	148	35	interpreted	interpret	VERB
ddj-78	148	36	as	as	ADP
ddj-78	148	37	allowed	allow	VERB
ddj-78	148	38	chords	chord	NOUN
ddj-78	148	39	for	for	ADP
ddj-78	148	40	a	a	DET
ddj-78	148	41	given	give	VERB
ddj-78	148	42	notion	notion	NOUN
ddj-78	148	43	of	of	ADP
ddj-78	148	44	harmony	harmony	NOUN
ddj-78	148	45	leads	lead	VERB
ddj-78	148	46	to	to	ADP
ddj-78	148	47	a	a	DET
ddj-78	148	48	unique	unique	ADJ
ddj-78	148	49	identification	identification	NOUN
ddj-78	148	50	of	of	ADP
ddj-78	148	51	thee	thee	NOUN
ddj-78	148	52	integers	integer	NOUN
ddj-78	148	53	ni	ni	PROPN
ddj-78	148	54	as	as	ADP
ddj-78	148	55	(	(	PUNCT
ddj-78	148	56	n0	n0	ADJ
ddj-78	148	57	,	,	PUNCT
ddj-78	148	58	n1	n1	NOUN
ddj-78	148	59	,	,	PUNCT
ddj-78	148	60	n2	n2	NOUN
ddj-78	148	61	)	)	PUNCT
ddj-78	148	62	=	=	PUNCT
ddj-78	148	63	(	(	PUNCT
ddj-78	148	64	3	3	NUM
ddj-78	148	65	,	,	PUNCT
ddj-78	148	66	10	10	NUM
ddj-78	148	67	,	,	PUNCT
ddj-78	148	68	7	7	NUM
ddj-78	148	69	)	)	PUNCT
ddj-78	148	70	.	.	PUNCT
ddj-78	149	1	the	the	DET
ddj-78	149	2	attempt	attempt	NOUN
ddj-78	149	3	to	to	PART
ddj-78	149	4	interpret	interpret	VERB
ddj-78	149	5	this	this	DET
ddj-78	149	6	”	"	PUNCT
ddj-78	149	7	biological	biological	ADJ
ddj-78	149	8	harmony	harmony	NOUN
ddj-78	149	9	”	"	PUNCT
ddj-78	149	10	leads	lead	VERB
ddj-78	149	11	to	to	ADP
ddj-78	149	12	the	the	DET
ddj-78	149	13	identification	identification	NOUN
ddj-78	149	14	of	of	ADP
ddj-78	149	15	additional	additional	ADJ
ddj-78	149	16	topological	topological	ADJ
ddj-78	149	17	invariants	invariant	NOUN
ddj-78	149	18	characterizing	characterize	VERB
ddj-78	149	19	the	the	DET
ddj-78	149	20	notion	notion	NOUN
ddj-78	149	21	of	of	ADP
ddj-78	149	22	harmony	harmony	NOUN
ddj-78	149	23	.	.	PUNCT
ddj-78	150	1	it	it	PRON
ddj-78	150	2	will	will	AUX
ddj-78	150	3	be	be	AUX
ddj-78	150	4	assumed	assume	VERB
ddj-78	150	5	that	that	SCONJ
ddj-78	150	6	edges	edge	NOUN
ddj-78	150	7	correspond	correspond	VERB
ddj-78	150	8	to	to	ADP
ddj-78	150	9	quints	quint	NOUN
ddj-78	150	10	.	.	PUNCT
ddj-78	151	1	if	if	SCONJ
ddj-78	151	2	they	they	PRON
ddj-78	151	3	would	would	AUX
ddj-78	151	4	correspond	correspond	VERB
ddj-78	151	5	to	to	ADP
ddj-78	151	6	half	half	ADJ
ddj-78	151	7	-	-	PUNCT
ddj-78	151	8	step	step	NOUN
ddj-78	151	9	the	the	DET
ddj-78	151	10	chords	chord	NOUN
ddj-78	151	11	would	would	AUX
ddj-78	151	12	contains	contain	VERB
ddj-78	151	13	0	0	NUM
ddj-78	151	14	,	,	PUNCT
ddj-78	151	15	1	1	NUM
ddj-78	151	16	,	,	PUNCT
ddj-78	151	17	or	or	CCONJ
ddj-78	151	18	2	2	NUM
ddj-78	151	19	subsequent	subsequent	ADJ
ddj-78	151	20	half	half	ADJ
ddj-78	151	21	-	-	PUNCT
ddj-78	151	22	intervals	interval	NOUN
ddj-78	151	23	which	which	PRON
ddj-78	151	24	does	do	AUX
ddj-78	151	25	not	not	PART
ddj-78	151	26	conform	conform	VERB
ddj-78	151	27	with	with	ADP
ddj-78	151	28	the	the	DET
ddj-78	151	29	usual	usual	ADJ
ddj-78	151	30	views	view	NOUN
ddj-78	151	31	about	about	ADP
ddj-78	151	32	harmony	harmony	NOUN
ddj-78	151	33	.	.	PUNCT
ddj-78	152	1	in	in	ADP
ddj-78	152	2	pythagorean	pythagorean	PROPN
ddj-78	152	3	scale	scale	NOUN
ddj-78	152	4	quint	quint	PROPN
ddj-78	152	5	corresponds	correspond	VERB
ddj-78	152	6	to	to	ADP
ddj-78	152	7	3/2	3/2	NUM
ddj-78	152	8	and	and	CCONJ
ddj-78	152	9	in	in	ADP
ddj-78	152	10	equal	equal	ADJ
ddj-78	152	11	tempered	temper	VERB
ddj-78	152	12	scale	scale	NOUN
ddj-78	152	13	quint	quint	NOUN
ddj-78	152	14	corresponds	correspond	VERB
ddj-78	152	15	to	to	ADP
ddj-78	152	16	the	the	DET
ddj-78	152	17	algebraic	algebraic	ADJ
ddj-78	152	18	number	number	NOUN
ddj-78	152	19	number	number	NOUN
ddj-78	152	20	27/12	27/12	NUM
ddj-78	152	21	.	.	PUNCT
ddj-78	153	1	above	above	ADP
ddj-78	153	2	the	the	DET
ddj-78	153	3	attention	attention	NOUN
ddj-78	153	4	was	be	AUX
ddj-78	153	5	paid	pay	VERB
ddj-78	153	6	to	to	ADP
ddj-78	153	7	the	the	DET
ddj-78	153	8	properties	property	NOUN
ddj-78	153	9	of	of	ADP
ddj-78	153	10	the	the	DET
ddj-78	153	11	triangles	triangle	NOUN
ddj-78	153	12	in	in	ADP
ddj-78	153	13	relation	relation	NOUN
ddj-78	153	14	to	to	ADP
ddj-78	153	15	the	the	DET
ddj-78	153	16	hamiltonian	hamiltonian	ADJ
ddj-78	153	17	cycle	cycle	NOUN
ddj-78	153	18	.	.	PUNCT
ddj-78	154	1	one	one	PRON
ddj-78	154	2	can	can	AUX
ddj-78	154	3	consider	consider	VERB
ddj-78	154	4	also	also	ADV
ddj-78	154	5	the	the	DET
ddj-78	154	6	properties	property	NOUN
ddj-78	154	7	of	of	ADP
ddj-78	154	8	the	the	DET
ddj-78	154	9	edges	edge	NOUN
ddj-78	154	10	of	of	ADP
ddj-78	154	11	the	the	DET
ddj-78	154	12	cycle	cycle	NOUN
ddj-78	154	13	in	in	ADP
ddj-78	154	14	relation	relation	NOUN
ddj-78	154	15	to	to	ADP
ddj-78	154	16	the	the	DET
ddj-78	154	17	two	two	NUM
ddj-78	154	18	neighboring	neighboring	NOUN
ddj-78	154	19	triangles	triangle	NOUN
ddj-78	154	20	containing	contain	VERB
ddj-78	154	21	it	it	PRON
ddj-78	154	22	.	.	PUNCT
ddj-78	155	1	restrict	restrict	VERB
ddj-78	155	2	first	first	ADV
ddj-78	155	3	the	the	DET
ddj-78	155	4	attention	attention	NOUN
ddj-78	155	5	to	to	ADP
ddj-78	155	6	the	the	DET
ddj-78	155	7	biological	biological	ADJ
ddj-78	155	8	harmony	harmony	NOUN
ddj-78	155	9	characterized	characterize	VERB
ddj-78	155	10	by	by	ADP
ddj-78	155	11	(	(	PUNCT
ddj-78	155	12	n0	n0	ADJ
ddj-78	155	13	,	,	PUNCT
ddj-78	155	14	n1	n1	NOUN
ddj-78	155	15	,	,	PUNCT
ddj-78	155	16	n2	n2	NOUN
ddj-78	155	17	)	)	PUNCT
ddj-78	155	18	=	=	PUNCT
ddj-78	155	19	(	(	PUNCT
ddj-78	155	20	3	3	NUM
ddj-78	155	21	,	,	PUNCT
ddj-78	155	22	10	10	NUM
ddj-78	155	23	,	,	PUNCT
ddj-78	155	24	7	7	NUM
ddj-78	155	25	)	)	PUNCT
ddj-78	155	26	.	.	PUNCT
ddj-78	156	1	figure	figure	VERB
ddj-78	156	2	2	2	NUM
ddj-78	156	3	:	:	PUNCT
ddj-78	156	4	the	the	DET
ddj-78	156	5	edge	edge	NOUN
ddj-78	156	6	of	of	ADP
ddj-78	156	7	the	the	DET
ddj-78	156	8	cycle	cycle	NOUN
ddj-78	156	9	belongs	belong	VERB
ddj-78	156	10	to	to	ADP
ddj-78	156	11	2	2	NUM
ddj-78	156	12	triangles	triangle	NOUN
ddj-78	156	13	,	,	PUNCT
ddj-78	157	1	which	which	PRON
ddj-78	157	2	as	as	ADP
ddj-78	157	3	chords	chord	NOUN
ddj-78	157	4	can	can	AUX
ddj-78	157	5	correspond	correspond	VERB
ddj-78	157	6	to	to	ADP
ddj-78	157	7	1	1	NUM
ddj-78	157	8	resp.2	resp.2	PROPN
ddj-78	157	9	,	,	PUNCT
ddj-78	157	10	1	1	NUM
ddj-78	157	11	resp	resp	NOUN
ddj-78	157	12	.	.	PUNCT
ddj-78	158	1	1	1	NUM
ddj-78	158	2	and	and	CCONJ
ddj-78	158	3	2	2	NUM
ddj-78	158	4	resp	resp	NOUN
ddj-78	158	5	.	.	PUNCT
ddj-78	159	1	2	2	NUM
ddj-78	159	2	quints	quint	NOUN
ddj-78	159	3	.	.	PUNCT
ddj-78	160	1	1	1	X
ddj-78	160	2	.	.	X
ddj-78	160	3	everyone	everyone	PRON
ddj-78	160	4	of	of	ADP
ddj-78	160	5	the	the	DET
ddj-78	160	6	12	12	NUM
ddj-78	160	7	quints	quint	NOUN
ddj-78	160	8	c	c	NOUN
ddj-78	160	9	−	−	PROPN
ddj-78	161	1	g	g	NOUN
ddj-78	161	2	,	,	PUNCT
ddj-78	161	3	c	c	NOUN
ddj-78	161	4	#	#	NOUN
ddj-78	161	5	−	−	NOUN
ddj-78	161	6	g	g	NOUN
ddj-78	161	7	#	#	NOUN
ddj-78	161	8	,	,	PUNCT
ddj-78	161	9	...	...	PUNCT
ddj-78	161	10	would	would	AUX
ddj-78	161	11	be	be	AUX
ddj-78	161	12	contained	contain	VERB
ddj-78	161	13	to	to	ADP
ddj-78	161	14	neighboring	neighboring	NOUN
ddj-78	161	15	triangles	triangle	NOUN
ddj-78	161	16	tht	tht	PROPN
ddj-78	161	17	is	be	AUX
ddj-78	161	18	3	3	NUM
ddj-78	161	19	-	-	PUNCT
ddj-78	161	20	chords	chord	NOUN
ddj-78	161	21	containing	contain	VERB
ddj-78	161	22	at	at	ADV
ddj-78	161	23	least	least	ADV
ddj-78	161	24	one	one	NUM
ddj-78	161	25	quint	quint	NOUN
ddj-78	161	26	.	.	PUNCT
ddj-78	162	1	denote	denote	VERB
ddj-78	162	2	by	by	ADP
ddj-78	162	3	p12	p12	NOUN
ddj-78	162	4	,	,	PUNCT
ddj-78	162	5	p11	p11	ADJ
ddj-78	162	6	resp	resp	NOUN
ddj-78	162	7	.	.	PUNCT
ddj-78	163	1	p22	p22	NOUN
ddj-78	163	2	denote	denote	VERB
ddj-78	163	3	the	the	DET
ddj-78	163	4	number	number	NOUN
ddj-78	163	5	of	of	ADP
ddj-78	163	6	edges	edge	NOUN
ddj-78	163	7	shared	share	VERB
ddj-78	163	8	by	by	ADP
ddj-78	163	9	1	1	NUM
ddj-78	163	10	-	-	PUNCT
ddj-78	163	11	quint	quint	NOUN
ddj-78	163	12	triangle	triangle	NOUN
ddj-78	163	13	and	and	CCONJ
ddj-78	163	14	2	2	NUM
ddj-78	163	15	-	-	PUNCT
ddj-78	163	16	quint	quint	NOUN
ddj-78	163	17	triangle	triangle	NOUN
ddj-78	163	18	,	,	PUNCT
ddj-78	163	19	by	by	ADP
ddj-78	163	20	2	2	NUM
ddj-78	163	21	1	1	NUM
ddj-78	163	22	-	-	PUNCT
ddj-78	163	23	quint	quint	NOUN
ddj-78	163	24	triangles	triangle	NOUN
ddj-78	163	25	,	,	PUNCT
ddj-78	163	26	resp	resp	NOUN
ddj-78	163	27	.	.	PUNCT
ddj-78	164	1	2	2	NUM
ddj-78	164	2	2	2	NUM
ddj-78	164	3	-	-	PUNCT
ddj-78	164	4	quint	quint	NOUN
ddj-78	164	5	triangles	triangle	NOUN
ddj-78	164	6	.	.	PUNCT
ddj-78	165	1	besides	besides	SCONJ
ddj-78	165	2	pij	pij	VERB
ddj-78	165	3	≥	≥	NOUN
ddj-78	165	4	0	0	NUM
ddj-78	165	5	one	one	NUM
ddj-78	165	6	has	have	VERB
ddj-78	165	7	∑	∑	ADV
ddj-78	165	8	pij	pij	VERB
ddj-78	165	9	=	=	NOUN
ddj-78	165	10	12	12	NUM
ddj-78	165	11	.	.	PUNCT
ddj-78	166	1	since	since	SCONJ
ddj-78	166	2	the	the	DET
ddj-78	166	3	cycle	cycle	NOUN
ddj-78	166	4	contains	contain	VERB
ddj-78	166	5	12	12	NUM
ddj-78	166	6	edges	edge	NOUN
ddj-78	166	7	.	.	PUNCT
ddj-78	167	1	there	there	PRON
ddj-78	167	2	are	be	VERB
ddj-78	167	3	p12	p12	ADJ
ddj-78	167	4	+	+	NOUN
ddj-78	167	5	2p11	2p11	NOUN
ddj-78	167	6	=	=	SYM
ddj-78	167	7	n1	n1	ADJ
ddj-78	167	8	1	1	NUM
ddj-78	167	9	-	-	PUNCT
ddj-78	167	10	quint	quint	NOUN
ddj-78	167	11	triangles	triangle	NOUN
ddj-78	167	12	and	and	CCONJ
ddj-78	167	13	(	(	PUNCT
ddj-78	167	14	p12	p12	VERB
ddj-78	167	15	+	+	NOUN
ddj-78	167	16	2p22)/2	2p22)/2	NOUN
ddj-78	167	17	=	=	SYM
ddj-78	167	18	n2	n2	ADJ
ddj-78	167	19	2	2	NUM
ddj-78	167	20	-	-	PUNCT
ddj-78	167	21	quint	quint	NOUN
ddj-78	167	22	triangles	triangle	NOUN
ddj-78	167	23	(	(	PUNCT
ddj-78	167	24	note	note	INTJ
ddj-78	167	25	double	double	ADJ
ddj-78	167	26	counting	counting	NOUN
ddj-78	167	27	responsible	responsible	ADJ
ddj-78	167	28	for	for	ADP
ddj-78	167	29	division	division	NOUN
ddj-78	167	30	by	by	ADP
ddj-78	167	31	two	two	NUM
ddj-78	167	32	)	)	PUNCT
ddj-78	167	33	.	.	PUNCT
ddj-78	168	1	altogether	altogether	ADV
ddj-78	168	2	this	this	PRON
ddj-78	168	3	gives	give	VERB
ddj-78	168	4	p22	p22	NOUN
ddj-78	168	5	=	=	NOUN
ddj-78	168	6	12−	12−	NUM
ddj-78	168	7	p11	p11	NOUN
ddj-78	168	8	−	−	PROPN
ddj-78	168	9	p22	p22	NOUN
ddj-78	168	10	,	,	PUNCT
ddj-78	168	11	p22	p22	NOUN
ddj-78	168	12	=	=	NOUN
ddj-78	168	13	p11	p11	NOUN
ddj-78	168	14	+	+	CCONJ
ddj-78	168	15	n2	n2	ADJ
ddj-78	168	16	−	−	PROPN
ddj-78	168	17	n1	n1	PROPN
ddj-78	168	18	2	2	NUM
ddj-78	168	19	,	,	PUNCT
ddj-78	168	20	p22	p22	NOUN
ddj-78	168	21	=	=	SYM
ddj-78	168	22	n2	n2	NOUN
ddj-78	168	23	−	−	PROPN
ddj-78	168	24	p12	p12	ADJ
ddj-78	168	25	2	2	NUM
ddj-78	168	26	.	.	PUNCT
ddj-78	169	1	isbn	isbn	ADJ
ddj-78	169	2	:	:	PUNCT
ddj-78	169	3	2159	2159	NUM
ddj-78	169	4	-	-	PUNCT
ddj-78	169	5	046x	046x	NOUN
ddj-78	169	6	dna	dna	NOUN
ddj-78	169	7	decipher	decipher	PROPN
ddj-78	169	8	journal	journal	PROPN
ddj-78	169	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	169	10	published	publish	VERB
ddj-78	169	11	by	by	ADP
ddj-78	169	12	quantumdream	quantumdream	PROPN
ddj-78	169	13	,	,	PUNCT
ddj-78	169	14	inc	inc	PROPN
ddj-78	169	15	.	.	PROPN
ddj-78	169	16	dna	dna	PROPN
ddj-78	169	17	decipher	decipher	PROPN
ddj-78	169	18	journal	journal	PROPN
ddj-78	170	1	|	|	ADV
ddj-78	170	2	october	october	PROPN
ddj-78	170	3	2014	2014	NUM
ddj-78	170	4	|	|	ADV
ddj-78	170	5	volume	volume	NOUN
ddj-78	170	6	4	4	NUM
ddj-78	170	7	|	|	NOUN
ddj-78	170	8	issue	issue	VERB
ddj-78	170	9	2	2	NUM
ddj-78	170	10	|	|	CCONJ
ddj-78	170	11	pp	pp	ADJ
ddj-78	170	12	.	.	PUNCT
ddj-78	171	1	141	141	NUM
ddj-78	171	2	-	-	SYM
ddj-78	171	3	160	160	NUM
ddj-78	171	4	147	147	NUM
ddj-78	171	5	pitkänen	pitkänen	NOUN
ddj-78	171	6	,	,	PUNCT
ddj-78	171	7	m.	m.	NOUN
ddj-78	171	8	pythagoras	pythagoras	PROPN
ddj-78	171	9	,	,	PUNCT
ddj-78	171	10	music	music	NOUN
ddj-78	171	11	,	,	PUNCT
ddj-78	171	12	sacred	sacred	ADJ
ddj-78	171	13	geometry	geometry	NOUN
ddj-78	171	14	and	and	CCONJ
ddj-78	171	15	genetic	genetic	ADJ
ddj-78	171	16	code	code	NOUN
ddj-78	171	17	2	2	NUM
ddj-78	171	18	.	.	PUNCT
ddj-78	172	1	these	these	DET
ddj-78	172	2	three	three	NUM
ddj-78	172	3	diophantine	diophantine	NOUN
ddj-78	172	4	equations	equation	NOUN
ddj-78	172	5	are	be	AUX
ddj-78	172	6	for	for	ADP
ddj-78	172	7	integers	integer	NOUN
ddj-78	172	8	and	and	CCONJ
ddj-78	172	9	would	would	AUX
ddj-78	172	10	allow	allow	VERB
ddj-78	172	11	for	for	ADP
ddj-78	172	12	real	real	ADJ
ddj-78	172	13	numbers	number	NOUN
ddj-78	172	14	only	only	ADV
ddj-78	172	15	single	single	ADJ
ddj-78	172	16	solution	solution	NOUN
ddj-78	172	17	and	and	CCONJ
ddj-78	172	18	for	for	ADP
ddj-78	172	19	integers	integer	NOUN
ddj-78	172	20	it	it	PRON
ddj-78	172	21	in	in	ADP
ddj-78	172	22	the	the	DET
ddj-78	172	23	generic	generic	ADJ
ddj-78	172	24	case	case	NOUN
ddj-78	172	25	there	there	PRON
ddj-78	172	26	are	be	VERB
ddj-78	172	27	no	no	DET
ddj-78	172	28	solutions	solution	NOUN
ddj-78	172	29	at	at	ADV
ddj-78	172	30	all	all	ADV
ddj-78	172	31	.	.	PUNCT
ddj-78	173	1	situation	situation	NOUN
ddj-78	173	2	changes	change	NOUN
ddj-78	173	3	if	if	SCONJ
ddj-78	173	4	the	the	DET
ddj-78	173	5	equations	equation	NOUN
ddj-78	173	6	are	be	AUX
ddj-78	173	7	not	not	PART
ddj-78	173	8	independent	independent	ADJ
ddj-78	173	9	which	which	PRON
ddj-78	173	10	can	can	AUX
ddj-78	173	11	happen	happen	VERB
ddj-78	173	12	if	if	SCONJ
ddj-78	173	13	the	the	DET
ddj-78	173	14	integers	integer	NOUN
ddj-78	173	15	ni	ni	NOUN
ddj-78	173	16	satisfy	satisfy	VERB
ddj-78	173	17	additional	additional	ADJ
ddj-78	173	18	conditions	condition	NOUN
ddj-78	173	19	.	.	PUNCT
ddj-78	174	1	by	by	ADP
ddj-78	174	2	subtracting	subtract	VERB
ddj-78	174	3	first	first	ADJ
ddj-78	174	4	and	and	CCONJ
ddj-78	174	5	second	second	ADJ
ddj-78	174	6	and	and	CCONJ
ddj-78	174	7	second	second	ADJ
ddj-78	174	8	and	and	CCONJ
ddj-78	174	9	third	third	ADJ
ddj-78	174	10	equation	equation	NOUN
ddj-78	174	11	from	from	ADP
ddj-78	174	12	each	each	DET
ddj-78	174	13	other	other	ADJ
ddj-78	174	14	one	one	NUM
ddj-78	174	15	obtains	obtain	VERB
ddj-78	174	16	the	the	DET
ddj-78	174	17	consistency	consistency	NOUN
ddj-78	174	18	condition	condition	NOUN
ddj-78	174	19	n1	n1	NOUN
ddj-78	174	20	=	=	SYM
ddj-78	174	21	24−	24−	NOUN
ddj-78	174	22	2n2	2n2	NUM
ddj-78	174	23	.	.	PUNCT
ddj-78	175	1	this	this	DET
ddj-78	175	2	condition	condition	NOUN
ddj-78	175	3	is	be	AUX
ddj-78	175	4	however	however	ADV
ddj-78	175	5	second	second	ADJ
ddj-78	175	6	of	of	ADP
ddj-78	175	7	the	the	DET
ddj-78	175	8	conditions	condition	NOUN
ddj-78	175	9	derived	derive	VERB
ddj-78	175	10	earlier	early	ADV
ddj-78	175	11	so	so	SCONJ
ddj-78	175	12	that	that	SCONJ
ddj-78	175	13	only	only	ADV
ddj-78	175	14	two	two	NUM
ddj-78	175	15	equations	equation	NOUN
ddj-78	175	16	,	,	PUNCT
ddj-78	175	17	say	say	VERB
ddj-78	175	18	the	the	DET
ddj-78	175	19	first	first	ADJ
ddj-78	175	20	two	two	NUM
ddj-78	175	21	ones	one	NOUN
ddj-78	175	22	,	,	PUNCT
ddj-78	175	23	are	be	AUX
ddj-78	175	24	independent	independent	ADJ
ddj-78	175	25	.	.	PUNCT
ddj-78	176	1	p22	p22	NOUN
ddj-78	176	2	=	=	NOUN
ddj-78	176	3	p11	p11	NOUN
ddj-78	176	4	+	+	CCONJ
ddj-78	176	5	n2	n2	ADJ
ddj-78	176	6	−	−	PROPN
ddj-78	176	7	n1	n1	PROPN
ddj-78	176	8	2	2	NUM
ddj-78	176	9	,	,	PUNCT
ddj-78	176	10	p22	p22	NOUN
ddj-78	176	11	=	=	SYM
ddj-78	176	12	n2	n2	NOUN
ddj-78	176	13	−	−	PROPN
ddj-78	176	14	p12	p12	ADJ
ddj-78	176	15	2	2	NUM
ddj-78	176	16	.	.	PUNCT
ddj-78	177	1	giving	give	VERB
ddj-78	177	2	p11	p11	NOUN
ddj-78	177	3	=	=	SYM
ddj-78	177	4	(	(	PUNCT
ddj-78	177	5	n1	n1	PROPN
ddj-78	177	6	−	−	PROPN
ddj-78	177	7	p12)/2	p12)/2	NOUN
ddj-78	177	8	,	,	PUNCT
ddj-78	177	9	p22	p22	NOUN
ddj-78	177	10	=	=	NOUN
ddj-78	177	11	p11	p11	NOUN
ddj-78	177	12	+	+	CCONJ
ddj-78	177	13	n2	n2	ADJ
ddj-78	177	14	−	−	PROPN
ddj-78	177	15	n1	n1	NOUN
ddj-78	177	16	2	2	NUM
ddj-78	177	17	=	=	SYM
ddj-78	177	18	n2	n2	NOUN
ddj-78	177	19	−	−	PROPN
ddj-78	177	20	p12	p12	ADJ
ddj-78	177	21	2	2	NUM
ddj-78	177	22	.	.	PUNCT
ddj-78	177	23	.	.	PUNCT
ddj-78	178	1	one	one	PRON
ddj-78	178	2	must	must	AUX
ddj-78	178	3	have	have	VERB
ddj-78	178	4	0	0	NUM
ddj-78	178	5	≤	≤	NUM
ddj-78	178	6	pij	pij	VERB
ddj-78	178	7	≤	≤	NOUN
ddj-78	178	8	12	12	NUM
ddj-78	178	9	and	and	CCONJ
ddj-78	178	10	p12	p12	VERB
ddj-78	178	11	≤	≤	NUM
ddj-78	178	12	n1	n1	NOUN
ddj-78	178	13	from	from	ADP
ddj-78	178	14	p11	p11	NOUN
ddj-78	178	15	=	=	SYM
ddj-78	178	16	(	(	PUNCT
ddj-78	178	17	n1	n1	PROPN
ddj-78	178	18	−	−	PROPN
ddj-78	178	19	p12)/2	p12)/2	NOUN
ddj-78	178	20	.	.	PUNCT
ddj-78	179	1	here	here	ADV
ddj-78	179	2	one	one	PRON
ddj-78	179	3	has	have	VERB
ddj-78	179	4	p12	p12	VERB
ddj-78	179	5	∈	∈	PROPN
ddj-78	179	6	{	{	PUNCT
ddj-78	179	7	0	0	NUM
ddj-78	179	8	,	,	PUNCT
ddj-78	179	9	2	2	NUM
ddj-78	179	10	,	,	PUNCT
ddj-78	179	11	...	...	PUNCT
ddj-78	179	12	min{12	min{12	X
ddj-78	179	13	,	,	PUNCT
ddj-78	179	14	2n2	2n2	NUM
ddj-78	179	15	,	,	PUNCT
ddj-78	179	16	n1	n1	NOUN
ddj-78	179	17	}	}	PUNCT
ddj-78	179	18	so	so	SCONJ
ddj-78	179	19	that	that	PRON
ddj-78	179	20	min{7	min{7	PROPN
ddj-78	179	21	,	,	PUNCT
ddj-78	179	22	n2	n2	ADJ
ddj-78	179	23	+	+	CCONJ
ddj-78	179	24	1	1	NUM
ddj-78	179	25	,	,	PUNCT
ddj-78	179	26	[	[	X
ddj-78	179	27	n1/2	n1/2	X
ddj-78	179	28	]	]	X
ddj-78	179	29	+	+	CCONJ
ddj-78	179	30	1	1	NUM
ddj-78	179	31	}	}	PUNCT
ddj-78	179	32	solutions	solution	NOUN
ddj-78	179	33	are	be	AUX
ddj-78	179	34	possible	possible	ADJ
ddj-78	179	35	.	.	PUNCT
ddj-78	180	1	the	the	DET
ddj-78	180	2	condition	condition	NOUN
ddj-78	180	3	that	that	SCONJ
ddj-78	180	4	the	the	DET
ddj-78	180	5	cycle	cycle	NOUN
ddj-78	180	6	has	have	AUX
ddj-78	180	7	no	no	DET
ddj-78	180	8	self	self	NOUN
ddj-78	180	9	-	-	PUNCT
ddj-78	180	10	intersections	intersection	NOUN
ddj-78	180	11	can	can	AUX
ddj-78	180	12	forbid	forbid	VERB
ddj-78	180	13	some	some	PRON
ddj-78	180	14	of	of	ADP
ddj-78	180	15	the	the	DET
ddj-78	180	16	solutions	solution	NOUN
ddj-78	180	17	.	.	PUNCT
ddj-78	181	1	3	3	X
ddj-78	181	2	.	.	X
ddj-78	181	3	the	the	DET
ddj-78	181	4	first	first	ADJ
ddj-78	181	5	guess	guess	NOUN
ddj-78	181	6	for	for	ADP
ddj-78	181	7	the	the	DET
ddj-78	181	8	”	"	PUNCT
ddj-78	181	9	biological	biological	ADJ
ddj-78	181	10	harmony	harmony	NOUN
ddj-78	181	11	”	"	PUNCT
ddj-78	181	12	possibly	possibly	ADV
ddj-78	181	13	associated	associate	VERB
ddj-78	181	14	with	with	ADP
ddj-78	181	15	amino	amino	NOUN
ddj-78	181	16	-	-	PUNCT
ddj-78	181	17	acids	acid	NOUN
ddj-78	181	18	would	would	AUX
ddj-78	181	19	be	be	AUX
ddj-78	181	20	(	(	PUNCT
ddj-78	181	21	n0	n0	ADJ
ddj-78	181	22	,	,	PUNCT
ddj-78	181	23	n1	n1	NOUN
ddj-78	181	24	,	,	PUNCT
ddj-78	181	25	n2	n2	NOUN
ddj-78	181	26	)	)	PUNCT
ddj-78	181	27	=	=	PUNCT
ddj-78	181	28	(	(	PUNCT
ddj-78	181	29	3	3	NUM
ddj-78	181	30	,	,	PUNCT
ddj-78	181	31	10	10	NUM
ddj-78	181	32	,	,	PUNCT
ddj-78	181	33	7	7	NUM
ddj-78	181	34	):	):	PUNCT
ddj-78	181	35	this	this	PRON
ddj-78	181	36	if	if	SCONJ
ddj-78	181	37	one	one	PRON
ddj-78	181	38	neglects	neglect	VERB
ddj-78	181	39	the	the	DET
ddj-78	181	40	presence	presence	NOUN
ddj-78	181	41	of	of	ADP
ddj-78	181	42	21st	21st	ADJ
ddj-78	181	43	and	and	CCONJ
ddj-78	181	44	22th	22th	ADJ
ddj-78	181	45	amino	amino	NOUN
ddj-78	181	46	-	-	PUNCT
ddj-78	181	47	acid	acid	NOUN
ddj-78	181	48	also	also	ADV
ddj-78	181	49	appearing	appear	VERB
ddj-78	181	50	in	in	ADP
ddj-78	181	51	proteins	protein	NOUN
ddj-78	181	52	.	.	PUNCT
ddj-78	182	1	it	it	PRON
ddj-78	182	2	turns	turn	VERB
ddj-78	182	3	out	out	ADP
ddj-78	182	4	that	that	SCONJ
ddj-78	182	5	a	a	DET
ddj-78	182	6	more	more	ADV
ddj-78	182	7	feasible	feasible	ADJ
ddj-78	182	8	solution	solution	NOUN
ddj-78	182	9	fuses	fuse	VERB
ddj-78	182	10	tetrahedral	tetrahedral	ADJ
ddj-78	182	11	code	code	NOUN
ddj-78	182	12	and	and	CCONJ
ddj-78	182	13	icosahedral	icosahedral	ADJ
ddj-78	182	14	codes	code	NOUN
ddj-78	182	15	with	with	ADP
ddj-78	182	16	(	(	PUNCT
ddj-78	182	17	n0	n0	ADJ
ddj-78	182	18	,	,	PUNCT
ddj-78	182	19	n1	n1	NOUN
ddj-78	182	20	,	,	PUNCT
ddj-78	182	21	n2	n2	NOUN
ddj-78	182	22	)	)	PUNCT
ddj-78	182	23	=	=	PUNCT
ddj-78	182	24	(	(	PUNCT
ddj-78	182	25	4	4	NUM
ddj-78	182	26	,	,	PUNCT
ddj-78	182	27	8	8	NUM
ddj-78	182	28	,	,	PUNCT
ddj-78	182	29	8)	8)	NUM
ddj-78	182	30	giving	giving	NOUN
ddj-78	182	31	(	(	PUNCT
ddj-78	182	32	n0	n0	ADJ
ddj-78	182	33	,	,	PUNCT
ddj-78	182	34	n1	n1	NOUN
ddj-78	182	35	,	,	PUNCT
ddj-78	182	36	n2	n2	NOUN
ddj-78	182	37	)	)	PUNCT
ddj-78	182	38	=	=	PUNCT
ddj-78	182	39	(	(	PUNCT
ddj-78	182	40	4	4	NUM
ddj-78	182	41	,	,	PUNCT
ddj-78	182	42	11	11	NUM
ddj-78	182	43	,	,	PUNCT
ddj-78	182	44	7	7	NUM
ddj-78	182	45	)	)	PUNCT
ddj-78	182	46	for	for	ADP
ddj-78	182	47	icosatetrahedral	icosatetrahedral	ADJ
ddj-78	182	48	code	code	NOUN
ddj-78	182	49	.	.	PUNCT
ddj-78	183	1	for	for	ADP
ddj-78	183	2	instance	instance	NOUN
ddj-78	183	3	,	,	PUNCT
ddj-78	183	4	(	(	PUNCT
ddj-78	183	5	n0	n0	ADJ
ddj-78	183	6	,	,	PUNCT
ddj-78	183	7	n1	n1	NOUN
ddj-78	183	8	,	,	PUNCT
ddj-78	183	9	n2	n2	NOUN
ddj-78	183	10	)	)	PUNCT
ddj-78	184	1	=	=	PUNCT
ddj-78	184	2	(	(	PUNCT
ddj-78	184	3	3	3	NUM
ddj-78	184	4	,	,	PUNCT
ddj-78	184	5	10	10	NUM
ddj-78	184	6	,	,	PUNCT
ddj-78	184	7	7	7	NUM
ddj-78	184	8	)	)	PUNCT
ddj-78	184	9	would	would	AUX
ddj-78	184	10	give	give	VERB
ddj-78	184	11	p12	p12	ADJ
ddj-78	184	12	∈	∈	PROPN
ddj-78	184	13	{	{	PUNCT
ddj-78	184	14	0	0	NUM
ddj-78	184	15	,	,	PUNCT
ddj-78	184	16	2	2	NUM
ddj-78	184	17	,	,	PUNCT
ddj-78	184	18	4	4	NUM
ddj-78	184	19	,	,	PUNCT
ddj-78	184	20	6	6	NUM
ddj-78	184	21	,	,	PUNCT
ddj-78	184	22	8	8	NUM
ddj-78	184	23	,	,	PUNCT
ddj-78	184	24	10	10	NUM
ddj-78	184	25	}	}	PUNCT
ddj-78	184	26	,	,	PUNCT
ddj-78	184	27	p11	p11	NOUN
ddj-78	184	28	∈	∈	PROPN
ddj-78	184	29	{	{	PUNCT
ddj-78	184	30	5	5	NUM
ddj-78	184	31	,	,	PUNCT
ddj-78	184	32	4	4	NUM
ddj-78	184	33	,	,	PUNCT
ddj-78	184	34	3	3	NUM
ddj-78	184	35	,	,	PUNCT
ddj-78	184	36	2	2	NUM
ddj-78	184	37	,	,	PUNCT
ddj-78	184	38	1	1	NUM
ddj-78	184	39	,	,	PUNCT
ddj-78	184	40	0	0	NUM
ddj-78	184	41	}	}	PUNCT
ddj-78	184	42	,	,	PUNCT
ddj-78	184	43	p22	p22	NOUN
ddj-78	184	44	∈	∈	PROPN
ddj-78	184	45	{	{	PUNCT
ddj-78	184	46	7	7	NUM
ddj-78	184	47	,	,	PUNCT
ddj-78	184	48	6	6	NUM
ddj-78	184	49	,	,	PUNCT
ddj-78	184	50	5	5	NUM
ddj-78	184	51	,	,	PUNCT
ddj-78	184	52	4	4	NUM
ddj-78	184	53	,	,	PUNCT
ddj-78	184	54	3	3	NUM
ddj-78	184	55	,	,	PUNCT
ddj-78	184	56	2	2	NUM
ddj-78	184	57	}	}	PUNCT
ddj-78	184	58	so	so	SCONJ
ddj-78	184	59	that	that	SCONJ
ddj-78	184	60	one	one	PRON
ddj-78	184	61	has	have	VERB
ddj-78	184	62	6	6	NUM
ddj-78	184	63	alternative	alternative	ADJ
ddj-78	184	64	solutions	solution	NOUN
ddj-78	184	65	to	to	ADP
ddj-78	184	66	these	these	DET
ddj-78	184	67	conditions	condition	NOUN
ddj-78	184	68	labelled	label	VERB
ddj-78	184	69	by	by	ADP
ddj-78	184	70	p12	p12	NOUN
ddj-78	184	71	.	.	PUNCT
ddj-78	185	1	the	the	DET
ddj-78	185	2	number	number	NOUN
ddj-78	185	3	of	of	ADP
ddj-78	185	4	neighboring	neighboring	NOUN
ddj-78	185	5	triangles	triangle	NOUN
ddj-78	185	6	containing	contain	VERB
ddj-78	185	7	single	single	ADJ
ddj-78	185	8	quint	quint	NOUN
ddj-78	185	9	is	be	AUX
ddj-78	185	10	even	even	ADV
ddj-78	185	11	number	number	NOUN
ddj-78	185	12	in	in	ADP
ddj-78	185	13	the	the	DET
ddj-78	185	14	range	range	NOUN
ddj-78	185	15	[	[	X
ddj-78	185	16	0	0	NUM
ddj-78	185	17	,	,	PUNCT
ddj-78	185	18	10	10	NUM
ddj-78	185	19	]	]	PUNCT
ddj-78	185	20	:	:	PUNCT
ddj-78	185	21	this	this	PRON
ddj-78	185	22	brings	bring	VERB
ddj-78	185	23	in	in	ADP
ddj-78	185	24	mind	mind	NOUN
ddj-78	185	25	the	the	DET
ddj-78	185	26	possibility	possibility	NOUN
ddj-78	185	27	that	that	SCONJ
ddj-78	185	28	the	the	DET
ddj-78	185	29	neighboring	neighbor	VERB
ddj-78	185	30	single	single	ADJ
ddj-78	185	31	quint	quint	NOUN
ddj-78	185	32	triangles	triangle	NOUN
ddj-78	185	33	correspond	correspond	VERB
ddj-78	185	34	to	to	ADP
ddj-78	185	35	major	major	ADJ
ddj-78	185	36	-	-	PUNCT
ddj-78	185	37	minor	minor	ADJ
ddj-78	185	38	pairs	pair	NOUN
ddj-78	185	39	.	.	PUNCT
ddj-78	186	1	clearly	clearly	ADV
ddj-78	186	2	,	,	PUNCT
ddj-78	186	3	the	the	DET
ddj-78	186	4	integer	integer	NOUN
ddj-78	186	5	p12	p12	NOUN
ddj-78	186	6	is	be	AUX
ddj-78	186	7	second	second	ADJ
ddj-78	186	8	topological	topological	ADJ
ddj-78	186	9	invariant	invariant	ADJ
ddj-78	186	10	characterizing	characterize	VERB
ddj-78	186	11	harmony	harmony	NOUN
ddj-78	186	12	.	.	PUNCT
ddj-78	187	1	2.2.4	2.2.4	NUM
ddj-78	187	2	distribution	distribution	NOUN
ddj-78	187	3	of	of	ADP
ddj-78	187	4	different	different	ADJ
ddj-78	187	5	types	type	NOUN
ddj-78	187	6	of	of	ADP
ddj-78	187	7	edges	edge	NOUN
ddj-78	187	8	also	also	ADV
ddj-78	187	9	the	the	DET
ddj-78	187	10	distribution	distribution	NOUN
ddj-78	187	11	of	of	ADP
ddj-78	187	12	the	the	DET
ddj-78	187	13	12	12	NUM
ddj-78	187	14	edges	edge	NOUN
ddj-78	187	15	to	to	ADP
ddj-78	187	16	these	these	DET
ddj-78	187	17	3	3	NUM
ddj-78	187	18	-	-	PUNCT
ddj-78	187	19	types	type	NOUN
ddj-78	187	20	is	be	AUX
ddj-78	187	21	an	an	DET
ddj-78	187	22	invariant	invariant	ADJ
ddj-78	187	23	characterizing	characterize	VERB
ddj-78	187	24	the	the	DET
ddj-78	187	25	shape	shape	NOUN
ddj-78	187	26	of	of	ADP
ddj-78	187	27	the	the	DET
ddj-78	187	28	curve	curve	NOUN
ddj-78	187	29	and	and	CCONJ
ddj-78	187	30	thus	thus	ADV
ddj-78	187	31	harmony	harmony	NOUN
ddj-78	187	32	as	as	ADP
ddj-78	187	33	isometric	isometric	ADJ
ddj-78	187	34	invariant	invariant	ADJ
ddj-78	187	35	.	.	PUNCT
ddj-78	188	1	figure	figure	NOUN
ddj-78	188	2	3	3	NUM
ddj-78	188	3	:	:	PUNCT
ddj-78	188	4	also	also	ADV
ddj-78	188	5	the	the	DET
ddj-78	188	6	distributions	distribution	NOUN
ddj-78	188	7	for	for	ADP
ddj-78	188	8	three	three	NUM
ddj-78	188	9	types	type	NOUN
ddj-78	188	10	of	of	ADP
ddj-78	188	11	edges	edge	NOUN
ddj-78	188	12	matter	matter	NOUN
ddj-78	188	13	.	.	PUNCT
ddj-78	189	1	isbn	isbn	ADJ
ddj-78	189	2	:	:	PUNCT
ddj-78	189	3	2159	2159	NUM
ddj-78	189	4	-	-	PUNCT
ddj-78	189	5	046x	046x	NOUN
ddj-78	189	6	dna	dna	NOUN
ddj-78	189	7	decipher	decipher	PROPN
ddj-78	189	8	journal	journal	PROPN
ddj-78	189	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	189	10	published	publish	VERB
ddj-78	189	11	by	by	ADP
ddj-78	189	12	quantumdream	quantumdream	PROPN
ddj-78	189	13	,	,	PUNCT
ddj-78	189	14	inc	inc	PROPN
ddj-78	189	15	.	.	PROPN
ddj-78	189	16	dna	dna	PROPN
ddj-78	189	17	decipher	decipher	PROPN
ddj-78	189	18	journal	journal	PROPN
ddj-78	190	1	|	|	ADV
ddj-78	190	2	october	october	PROPN
ddj-78	190	3	2014	2014	NUM
ddj-78	190	4	|	|	ADV
ddj-78	190	5	volume	volume	NOUN
ddj-78	190	6	4	4	NUM
ddj-78	190	7	|	|	NOUN
ddj-78	190	8	issue	issue	VERB
ddj-78	190	9	2	2	NUM
ddj-78	190	10	|	|	CCONJ
ddj-78	190	11	pp	pp	ADJ
ddj-78	190	12	.	.	PUNCT
ddj-78	191	1	141	141	NUM
ddj-78	191	2	-	-	SYM
ddj-78	191	3	160	160	NUM
ddj-78	191	4	148	148	NUM
ddj-78	191	5	pitkänen	pitkänen	NOUN
ddj-78	191	6	,	,	PUNCT
ddj-78	191	7	m.	m.	NOUN
ddj-78	191	8	pythagoras	pythagoras	PROPN
ddj-78	191	9	,	,	PUNCT
ddj-78	191	10	music	music	NOUN
ddj-78	191	11	,	,	PUNCT
ddj-78	191	12	sacred	sacred	ADJ
ddj-78	191	13	geometry	geometry	NOUN
ddj-78	191	14	and	and	CCONJ
ddj-78	191	15	genetic	genetic	ADJ
ddj-78	191	16	code	code	NOUN
ddj-78	191	17	1	1	NUM
ddj-78	191	18	.	.	PUNCT
ddj-78	191	19	p12	p12	VERB
ddj-78	191	20	1	1	NUM
ddj-78	191	21	-	-	SYM
ddj-78	191	22	1	1	NUM
ddj-78	191	23	edges	edge	NOUN
ddj-78	191	24	can	can	AUX
ddj-78	191	25	be	be	AUX
ddj-78	191	26	chosen	choose	VERB
ddj-78	191	27	in	in	ADP
ddj-78	191	28	n(1−	n(1−	ADJ
ddj-78	191	29	1	1	NUM
ddj-78	191	30	,	,	PUNCT
ddj-78	191	31	p12	p12	ADJ
ddj-78	191	32	)	)	PUNCT
ddj-78	191	33	=	=	PUNCT
ddj-78	192	1	(	(	PUNCT
ddj-78	192	2	12	12	NUM
ddj-78	192	3	p12	p12	ADJ
ddj-78	192	4	)	)	PUNCT
ddj-78	192	5	manners	manner	NOUN
ddj-78	192	6	and	and	CCONJ
ddj-78	192	7	1	1	NUM
ddj-78	192	8	-	-	SYM
ddj-78	192	9	2	2	NUM
ddj-78	192	10	edges	edge	NOUN
ddj-78	192	11	in	in	ADP
ddj-78	192	12	n(1−	n(1−	ADJ
ddj-78	192	13	2	2	NUM
ddj-78	192	14	,	,	PUNCT
ddj-78	192	15	p12	p12	ADJ
ddj-78	192	16	)	)	PUNCT
ddj-78	192	17	=	=	SYM
ddj-78	193	1	(	(	PUNCT
ddj-78	193	2	12−	12−	NUM
ddj-78	193	3	p12	p12	PROPN
ddj-78	193	4	p12	p12	ADJ
ddj-78	193	5	)	)	PUNCT
ddj-78	193	6	manners	manner	NOUN
ddj-78	193	7	.	.	PUNCT
ddj-78	194	1	the	the	DET
ddj-78	194	2	remaining	remain	VERB
ddj-78	194	3	2	2	NUM
ddj-78	194	4	-	-	SYM
ddj-78	194	5	2	2	NUM
ddj-78	194	6	edges	edge	NOUN
ddj-78	194	7	can	can	AUX
ddj-78	194	8	be	be	AUX
ddj-78	194	9	chosen	choose	VERB
ddj-78	194	10	only	only	ADV
ddj-78	194	11	in	in	ADP
ddj-78	194	12	one	one	NUM
ddj-78	194	13	manner	manner	NOUN
ddj-78	194	14	.	.	PUNCT
ddj-78	195	1	this	this	PRON
ddj-78	195	2	gives	give	VERB
ddj-78	195	3	altogether	altogether	ADV
ddj-78	195	4	n(p12	n(p12	ADJ
ddj-78	195	5	)	)	PUNCT
ddj-78	196	1	=	=	PUNCT
ddj-78	197	1	n(1−	n(1−	ADJ
ddj-78	197	2	1	1	NUM
ddj-78	197	3	,	,	PUNCT
ddj-78	197	4	p12)×n(1−	p12)×n(1−	PROPN
ddj-78	197	5	2	2	NUM
ddj-78	197	6	,	,	PUNCT
ddj-78	197	7	p12	p12	ADJ
ddj-78	197	8	)	)	PUNCT
ddj-78	197	9	manners	manner	NOUN
ddj-78	197	10	for	for	ADP
ddj-78	197	11	given	give	VERB
ddj-78	197	12	value	value	NOUN
ddj-78	197	13	of	of	ADP
ddj-78	197	14	p12	p12	NOUN
ddj-78	197	15	.	.	PUNCT
ddj-78	198	1	to	to	PART
ddj-78	198	2	summarize	summarize	VERB
ddj-78	198	3	,	,	PUNCT
ddj-78	198	4	one	one	PRON
ddj-78	198	5	obtains	obtain	VERB
ddj-78	198	6	large	large	ADJ
ddj-78	198	7	number	number	NOUN
ddj-78	198	8	of	of	ADP
ddj-78	198	9	notions	notion	NOUN
ddj-78	198	10	of	of	ADP
ddj-78	198	11	harmony	harmony	NOUN
ddj-78	198	12	are	be	AUX
ddj-78	198	13	possible	possible	ADJ
ddj-78	198	14	although	although	SCONJ
ddj-78	198	15	one	one	PRON
ddj-78	198	16	can	can	AUX
ddj-78	198	17	not	not	PART
ddj-78	198	18	expect	expect	VERB
ddj-78	198	19	that	that	SCONJ
ddj-78	198	20	the	the	DET
ddj-78	198	21	absence	absence	NOUN
ddj-78	198	22	of	of	ADP
ddj-78	198	23	self	self	NOUN
ddj-78	198	24	-	-	PUNCT
ddj-78	198	25	intersections	intersection	NOUN
ddj-78	198	26	does	do	AUX
ddj-78	198	27	not	not	PART
ddj-78	198	28	allow	allow	VERB
ddj-78	198	29	all	all	DET
ddj-78	198	30	topologies	topology	NOUN
ddj-78	198	31	for	for	ADP
ddj-78	198	32	the	the	DET
ddj-78	198	33	cycle	cycle	NOUN
ddj-78	198	34	.	.	PUNCT
ddj-78	199	1	2.3	2.3	NUM
ddj-78	199	2	would	would	AUX
ddj-78	199	3	you	you	PRON
ddj-78	199	4	come	come	VERB
ddj-78	199	5	to	to	ADP
ddj-78	199	6	icosadisco	icosadisco	PROPN
ddj-78	199	7	with	with	ADP
ddj-78	199	8	me	i	PRON
ddj-78	199	9	?	?	PUNCT
ddj-78	200	1	this	this	DET
ddj-78	200	2	map	map	NOUN
ddj-78	200	3	would	would	AUX
ddj-78	200	4	allow	allow	VERB
ddj-78	200	5	one	one	NUM
ddj-78	200	6	-	-	PUNCT
ddj-78	200	7	to	to	ADP
ddj-78	200	8	-	-	PUNCT
ddj-78	200	9	one	one	NUM
ddj-78	200	10	map	map	NOUN
ddj-78	200	11	of	of	ADP
ddj-78	200	12	the	the	DET
ddj-78	200	13	notes	note	NOUN
ddj-78	200	14	of	of	ADP
ddj-78	200	15	any	any	DET
ddj-78	200	16	music	music	NOUN
ddj-78	200	17	piece	piece	NOUN
ddj-78	200	18	using	use	VERB
ddj-78	200	19	icosahedral	icosahedral	ADJ
ddj-78	200	20	geometry	geometry	NOUN
ddj-78	200	21	.	.	PUNCT
ddj-78	201	1	if	if	SCONJ
ddj-78	201	2	octave	octave	NOUN
ddj-78	201	3	equivalence	equivalence	NOUN
ddj-78	201	4	is	be	AUX
ddj-78	201	5	assumed	assume	VERB
ddj-78	201	6	,	,	PUNCT
ddj-78	201	7	a	a	DET
ddj-78	201	8	given	give	VERB
ddj-78	201	9	note	note	NOUN
ddj-78	201	10	would	would	AUX
ddj-78	201	11	be	be	AUX
ddj-78	201	12	mapped	map	VERB
ddj-78	201	13	to	to	ADP
ddj-78	201	14	a	a	DET
ddj-78	201	15	fixed	fix	VERB
ddj-78	201	16	vertex	vertex	NOUN
ddj-78	201	17	of	of	ADP
ddj-78	201	18	icosahedron	icosahedron	PROPN
ddj-78	201	19	at	at	ADP
ddj-78	201	20	which	which	PRON
ddj-78	201	21	lamp	lamp	NOUN
ddj-78	201	22	is	be	AUX
ddj-78	201	23	turned	turn	VERB
ddj-78	201	24	on	on	ADP
ddj-78	201	25	and	and	CCONJ
ddj-78	201	26	also	also	ADV
ddj-78	201	27	to	to	ADP
ddj-78	201	28	the	the	DET
ddj-78	201	29	wavelength	wavelength	NOUN
ddj-78	201	30	of	of	ADP
ddj-78	201	31	the	the	DET
ddj-78	201	32	light	light	NOUN
ddj-78	201	33	in	in	ADP
ddj-78	201	34	question	question	NOUN
ddj-78	201	35	since	since	SCONJ
ddj-78	201	36	visible	visible	ADJ
ddj-78	201	37	light	light	NOUN
ddj-78	201	38	spans	span	VERB
ddj-78	201	39	an	an	DET
ddj-78	201	40	octave	octave	NOUN
ddj-78	201	41	.	.	PUNCT
ddj-78	202	1	chords	chord	NOUN
ddj-78	202	2	would	would	AUX
ddj-78	202	3	correspond	correspond	VERB
ddj-78	202	4	to	to	ADP
ddj-78	202	5	the	the	DET
ddj-78	202	6	turning	turning	NOUN
ddj-78	202	7	on	on	ADP
ddj-78	202	8	of	of	ADP
ddj-78	202	9	lights	light	NOUN
ddj-78	202	10	for	for	ADP
ddj-78	202	11	a	a	DET
ddj-78	202	12	group	group	NOUN
ddj-78	202	13	of	of	ADP
ddj-78	202	14	icosahedral	icosahedral	ADJ
ddj-78	202	15	points	point	NOUN
ddj-78	202	16	.	.	PUNCT
ddj-78	203	1	icosahedrons	icosahedron	NOUN
ddj-78	203	2	with	with	ADP
ddj-78	203	3	size	size	NOUN
ddj-78	203	4	scaled	scale	VERB
ddj-78	203	5	up	up	ADP
ddj-78	203	6	by	by	ADP
ddj-78	203	7	two	two	NUM
ddj-78	203	8	could	could	AUX
ddj-78	203	9	correspond	correspond	VERB
ddj-78	203	10	to	to	PART
ddj-78	203	11	octave	octave	VERB
ddj-78	203	12	hierarchy	hierarchy	NOUN
ddj-78	203	13	:	:	PUNCT
ddj-78	203	14	for	for	ADP
ddj-78	203	15	practical	practical	ADJ
ddj-78	203	16	purposes	purpose	NOUN
ddj-78	203	17	logarithmic	logarithmic	ADJ
ddj-78	203	18	scale	scale	NOUN
ddj-78	203	19	implying	imply	VERB
ddj-78	203	20	that	that	SCONJ
ddj-78	203	21	icosahedrons	icosahedron	NOUN
ddj-78	203	22	have	have	VERB
ddj-78	203	23	same	same	ADJ
ddj-78	203	24	distance	distance	NOUN
ddj-78	203	25	would	would	AUX
ddj-78	203	26	be	be	AUX
ddj-78	203	27	natural	natural	ADJ
ddj-78	203	28	as	as	ADP
ddj-78	203	29	in	in	ADP
ddj-78	203	30	the	the	DET
ddj-78	203	31	case	case	NOUN
ddj-78	203	32	of	of	ADP
ddj-78	203	33	music	music	NOUN
ddj-78	203	34	experience	experience	NOUN
ddj-78	203	35	since	since	SCONJ
ddj-78	203	36	piano	piano	NOUN
ddj-78	203	37	spans	span	VERB
ddj-78	203	38	7	7	NUM
ddj-78	203	39	octaves	octave	NOUN
ddj-78	203	40	and	and	CCONJ
ddj-78	203	41	human	human	ADJ
ddj-78	203	42	ear	ear	NOUN
ddj-78	203	43	can	can	AUX
ddj-78	203	44	hear	hear	VERB
ddj-78	203	45	10	10	NUM
ddj-78	203	46	octaves	octave	NOUN
ddj-78	203	47	.	.	PUNCT
ddj-78	204	1	church	church	NOUN
ddj-78	204	2	would	would	AUX
ddj-78	204	3	nowadays	nowadays	ADV
ddj-78	204	4	allow	allow	VERB
ddj-78	204	5	icosadiscos	icosadisco	NOUN
ddj-78	204	6	to	to	PART
ddj-78	204	7	use	use	VERB
ddj-78	204	8	also	also	ADV
ddj-78	204	9	half	half	ADJ
ddj-78	204	10	octaves	octave	NOUN
ddj-78	204	11	to	to	PART
ddj-78	204	12	amplify	amplify	VERB
ddj-78	204	13	further	far	ADV
ddj-78	204	14	the	the	DET
ddj-78	204	15	audiovisual	audiovisual	ADJ
ddj-78	204	16	inferno	inferno	NOUN
ddj-78	204	17	effect	effect	NOUN
ddj-78	204	18	so	so	ADV
ddj-78	204	19	characteristic	characteristic	ADJ
ddj-78	204	20	for	for	ADP
ddj-78	204	21	discos	disco	NOUN
ddj-78	204	22	.	.	PUNCT
ddj-78	205	1	one	one	PRON
ddj-78	205	2	could	could	AUX
ddj-78	205	3	also	also	ADV
ddj-78	205	4	try	try	VERB
ddj-78	205	5	to	to	PART
ddj-78	205	6	realize	realize	VERB
ddj-78	205	7	special	special	ADJ
ddj-78	205	8	effects	effect	NOUN
ddj-78	205	9	like	like	ADP
ddj-78	205	10	glissandos	glissando	NOUN
ddj-78	205	11	,	,	PUNCT
ddj-78	205	12	vibratos	vibrato	NOUN
ddj-78	205	13	and	and	CCONJ
ddj-78	205	14	tremolos	tremolo	NOUN
ddj-78	205	15	.	.	PROPN
ddj-78	205	16	3	3	NUM
ddj-78	205	17	connection	connection	NOUN
ddj-78	205	18	between	between	ADP
ddj-78	205	19	music	music	NOUN
ddj-78	205	20	molecular	molecular	ADJ
ddj-78	205	21	biology	biology	NOUN
ddj-78	205	22	?	?	PUNCT
ddj-78	206	1	music	music	NOUN
ddj-78	206	2	affects	affect	VERB
ddj-78	206	3	directly	directly	ADV
ddj-78	206	4	emotions	emotion	NOUN
ddj-78	206	5	,	,	PUNCT
ddj-78	206	6	and	and	CCONJ
ddj-78	206	7	consciousness	consciousness	NOUN
ddj-78	206	8	is	be	AUX
ddj-78	206	9	one	one	NUM
ddj-78	206	10	aspect	aspect	NOUN
ddj-78	206	11	of	of	ADP
ddj-78	206	12	being	be	AUX
ddj-78	206	13	living	live	VERB
ddj-78	206	14	.	.	PUNCT
ddj-78	207	1	this	this	PRON
ddj-78	207	2	raises	raise	VERB
ddj-78	207	3	the	the	DET
ddj-78	207	4	question	question	NOUN
ddj-78	207	5	whether	whether	SCONJ
ddj-78	207	6	the	the	DET
ddj-78	207	7	platonic	platonic	ADJ
ddj-78	207	8	geometries	geometry	NOUN
ddj-78	207	9	might	might	AUX
ddj-78	207	10	have	have	AUX
ddj-78	207	11	something	something	PRON
ddj-78	207	12	to	to	PART
ddj-78	207	13	do	do	VERB
ddj-78	207	14	with	with	ADP
ddj-78	207	15	basic	basic	ADJ
ddj-78	207	16	building	building	NOUN
ddj-78	207	17	bricks	brick	NOUN
ddj-78	207	18	of	of	ADP
ddj-78	207	19	life	life	NOUN
ddj-78	207	20	and	and	CCONJ
ddj-78	207	21	with	with	ADP
ddj-78	207	22	genetic	genetic	ADJ
ddj-78	207	23	code	code	NOUN
ddj-78	207	24	.	.	PUNCT
ddj-78	208	1	3.1	3.1	NUM
ddj-78	208	2	could	could	AUX
ddj-78	208	3	amino	amino	NOUN
ddj-78	208	4	-	-	PUNCT
ddj-78	208	5	acids	acid	NOUN
ddj-78	208	6	correspond	correspond	NOUN
ddj-78	208	7	to	to	ADP
ddj-78	208	8	3	3	NUM
ddj-78	208	9	-	-	NOUN
ddj-78	208	10	chords	chord	NOUN
ddj-78	208	11	of	of	ADP
ddj-78	208	12	icosahedral	icosahedral	ADJ
ddj-78	208	13	harmony	harmony	NOUN
ddj-78	208	14	?	?	PUNCT
ddj-78	209	1	the	the	DET
ddj-78	209	2	number	number	NOUN
ddj-78	209	3	of	of	ADP
ddj-78	209	4	amino	amino	NOUN
ddj-78	209	5	-	-	PUNCT
ddj-78	209	6	acids	acid	NOUN
ddj-78	209	7	is	be	AUX
ddj-78	209	8	20	20	NUM
ddj-78	209	9	and	and	CCONJ
ddj-78	209	10	same	same	ADJ
ddj-78	209	11	as	as	ADP
ddj-78	209	12	the	the	DET
ddj-78	209	13	number	number	NOUN
ddj-78	209	14	of	of	ADP
ddj-78	209	15	triangular	triangular	NOUN
ddj-78	209	16	faces	face	NOUN
ddj-78	209	17	of	of	ADP
ddj-78	209	18	icosahedron	icosahedron	NOUN
ddj-78	209	19	and	and	CCONJ
ddj-78	209	20	the	the	DET
ddj-78	209	21	vertices	vertex	NOUN
ddj-78	209	22	of	of	ADP
ddj-78	209	23	dodecahedron	dodecahedron	NOUN
ddj-78	209	24	.	.	PUNCT
ddj-78	210	1	i	i	PRON
ddj-78	210	2	have	have	AUX
ddj-78	210	3	considered	consider	VERB
ddj-78	210	4	the	the	DET
ddj-78	210	5	possibility	possibility	NOUN
ddj-78	210	6	that	that	SCONJ
ddj-78	210	7	the	the	DET
ddj-78	210	8	faces	face	NOUN
ddj-78	210	9	of	of	ADP
ddj-78	210	10	icosahedron	icosahedron	X
ddj-78	210	11	could	could	AUX
ddj-78	210	12	correspond	correspond	VERB
ddj-78	210	13	to	to	ADP
ddj-78	210	14	amino	amino	NOUN
ddj-78	210	15	-	-	PUNCT
ddj-78	210	16	acids	acid	NOUN
ddj-78	210	17	[	[	X
ddj-78	210	18	7	7	NUM
ddj-78	210	19	]	]	PUNCT
ddj-78	210	20	.	.	PUNCT
ddj-78	211	1	combined	combine	VERB
ddj-78	211	2	with	with	ADP
ddj-78	211	3	the	the	DET
ddj-78	211	4	idea	idea	NOUN
ddj-78	211	5	about	about	ADP
ddj-78	211	6	connection	connection	NOUN
ddj-78	211	7	between	between	ADP
ddj-78	211	8	music	music	NOUN
ddj-78	211	9	scale	scale	NOUN
ddj-78	211	10	and	and	CCONJ
ddj-78	211	11	icosahedron	icosahedron	NUM
ddj-78	211	12	this	this	PRON
ddj-78	211	13	inspires	inspire	VERB
ddj-78	211	14	the	the	DET
ddj-78	211	15	following	following	ADJ
ddj-78	211	16	consideration	consideration	NOUN
ddj-78	211	17	.	.	PUNCT
ddj-78	212	1	1	1	X
ddj-78	212	2	.	.	X
ddj-78	212	3	for	for	ADP
ddj-78	212	4	a	a	DET
ddj-78	212	5	proper	proper	ADJ
ddj-78	212	6	choice	choice	NOUN
ddj-78	212	7	of	of	ADP
ddj-78	212	8	the	the	DET
ddj-78	212	9	mapping	mapping	NOUN
ddj-78	212	10	of	of	ADP
ddj-78	212	11	the	the	DET
ddj-78	212	12	12	12	NUM
ddj-78	212	13	-	-	PUNCT
ddj-78	212	14	note	note	NOUN
ddj-78	212	15	scale	scale	NOUN
ddj-78	212	16	to	to	ADP
ddj-78	212	17	the	the	DET
ddj-78	212	18	surface	surface	NOUN
ddj-78	212	19	of	of	ADP
ddj-78	212	20	icosahedron	icosahedron	X
ddj-78	212	21	the	the	DET
ddj-78	212	22	20	20	NUM
ddj-78	212	23	triangles	triangle	NOUN
ddj-78	212	24	could	could	AUX
ddj-78	212	25	correspond	correspond	VERB
ddj-78	212	26	to	to	ADP
ddj-78	212	27	20	20	NUM
ddj-78	212	28	amino	amino	NOUN
ddj-78	212	29	-	-	PUNCT
ddj-78	212	30	acids	acid	NOUN
ddj-78	212	31	analogous	analogous	ADJ
ddj-78	212	32	to	to	ADP
ddj-78	212	33	3	3	NUM
ddj-78	212	34	-	-	PUNCT
ddj-78	212	35	chords	chord	NOUN
ddj-78	212	36	and	and	CCONJ
ddj-78	212	37	that	that	SCONJ
ddj-78	212	38	the	the	DET
ddj-78	212	39	3	3	NUM
ddj-78	212	40	types	type	NOUN
ddj-78	212	41	of	of	ADP
ddj-78	212	42	3	3	NUM
ddj-78	212	43	-	-	PUNCT
ddj-78	212	44	chords	chord	NOUN
ddj-78	212	45	could	could	AUX
ddj-78	212	46	correspond	correspond	VERB
ddj-78	212	47	to	to	ADP
ddj-78	212	48	3	3	NUM
ddj-78	212	49	different	different	ADJ
ddj-78	212	50	classes	class	NOUN
ddj-78	212	51	of	of	ADP
ddj-78	212	52	amino	amino	NOUN
ddj-78	212	53	-	-	PUNCT
ddj-78	212	54	acids	acid	NOUN
ddj-78	212	55	.	.	PUNCT
ddj-78	213	1	one	one	NUM
ddj-78	213	2	can	can	AUX
ddj-78	213	3	of	of	ADP
ddj-78	213	4	course	course	NOUN
ddj-78	213	5	consider	consider	VERB
ddj-78	213	6	also	also	ADV
ddj-78	213	7	the	the	DET
ddj-78	213	8	mapping	mapping	NOUN
ddj-78	213	9	of	of	ADP
ddj-78	213	10	amino	amino	NOUN
ddj-78	213	11	-	-	PUNCT
ddj-78	213	12	acids	acid	NOUN
ddj-78	213	13	to	to	ADP
ddj-78	213	14	a	a	DET
ddj-78	213	15	unique	unique	ADJ
ddj-78	213	16	sequence	sequence	NOUN
ddj-78	213	17	of	of	ADP
ddj-78	213	18	20	20	NUM
ddj-78	213	19	vertices	vertex	NOUN
ddj-78	213	20	of	of	ADP
ddj-78	213	21	dodecahedron	dodecahedron	NOUN
ddj-78	213	22	representing	represent	VERB
ddj-78	213	23	20	20	NUM
ddj-78	213	24	-	-	PUNCT
ddj-78	213	25	note	note	NOUN
ddj-78	213	26	scale	scale	NOUN
ddj-78	213	27	or	or	CCONJ
ddj-78	213	28	20	20	NUM
ddj-78	213	29	-	-	PUNCT
ddj-78	213	30	chord	chord	NOUN
ddj-78	213	31	scale	scale	NOUN
ddj-78	213	32	and	and	CCONJ
ddj-78	213	33	replacement	replacement	NOUN
ddj-78	213	34	of	of	ADP
ddj-78	213	35	the	the	DET
ddj-78	213	36	3	3	NUM
ddj-78	213	37	-	-	PUNCT
ddj-78	213	38	chords	chord	NOUN
ddj-78	213	39	defining	define	VERB
ddj-78	213	40	the	the	DET
ddj-78	213	41	harmony	harmony	NOUN
ddj-78	213	42	with	with	ADP
ddj-78	213	43	12	12	NUM
ddj-78	213	44	5	5	NUM
ddj-78	213	45	-	-	PUNCT
ddj-78	213	46	chords	chord	NOUN
ddj-78	213	47	.	.	PUNCT
ddj-78	214	1	isbn	isbn	ADJ
ddj-78	214	2	:	:	PUNCT
ddj-78	214	3	2159	2159	NUM
ddj-78	214	4	-	-	PUNCT
ddj-78	214	5	046x	046x	NOUN
ddj-78	214	6	dna	dna	NOUN
ddj-78	214	7	decipher	decipher	PROPN
ddj-78	214	8	journal	journal	PROPN
ddj-78	214	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	214	10	published	publish	VERB
ddj-78	214	11	by	by	ADP
ddj-78	214	12	quantumdream	quantumdream	PROPN
ddj-78	214	13	,	,	PUNCT
ddj-78	214	14	inc	inc	PROPN
ddj-78	214	15	.	.	PROPN
ddj-78	214	16	dna	dna	PROPN
ddj-78	214	17	decipher	decipher	PROPN
ddj-78	214	18	journal	journal	PROPN
ddj-78	215	1	|	|	ADV
ddj-78	215	2	october	october	PROPN
ddj-78	215	3	2014	2014	NUM
ddj-78	215	4	|	|	ADV
ddj-78	215	5	volume	volume	NOUN
ddj-78	215	6	4	4	NUM
ddj-78	215	7	|	|	NOUN
ddj-78	215	8	issue	issue	VERB
ddj-78	215	9	2	2	NUM
ddj-78	215	10	|	|	CCONJ
ddj-78	215	11	pp	pp	ADJ
ddj-78	215	12	.	.	PUNCT
ddj-78	216	1	141	141	NUM
ddj-78	216	2	-	-	SYM
ddj-78	216	3	160	160	NUM
ddj-78	216	4	149	149	NUM
ddj-78	216	5	pitkänen	pitkänen	NOUN
ddj-78	216	6	,	,	PUNCT
ddj-78	216	7	m.	m.	NOUN
ddj-78	216	8	pythagoras	pythagoras	PROPN
ddj-78	216	9	,	,	PUNCT
ddj-78	216	10	music	music	NOUN
ddj-78	216	11	,	,	PUNCT
ddj-78	216	12	sacred	sacred	ADJ
ddj-78	216	13	geometry	geometry	NOUN
ddj-78	216	14	and	and	CCONJ
ddj-78	216	15	genetic	genetic	ADJ
ddj-78	216	16	code	code	NOUN
ddj-78	216	17	2	2	NUM
ddj-78	216	18	.	.	PUNCT
ddj-78	216	19	amino	amino	NOUN
ddj-78	216	20	-	-	PUNCT
ddj-78	216	21	acids	acid	NOUN
ddj-78	216	22	are	be	AUX
ddj-78	216	23	characterized	characterize	VERB
ddj-78	216	24	by	by	ADP
ddj-78	216	25	the	the	DET
ddj-78	216	26	non	non	ADJ
ddj-78	216	27	-	-	ADJ
ddj-78	216	28	constant	constant	ADJ
ddj-78	216	29	side	side	NOUN
ddj-78	216	30	chain	chain	NOUN
ddj-78	216	31	and	and	CCONJ
ddj-78	216	32	these	these	PRON
ddj-78	216	33	can	can	AUX
ddj-78	216	34	be	be	AUX
ddj-78	216	35	classified	classify	VERB
ddj-78	216	36	to	to	ADP
ddj-78	216	37	three	three	NUM
ddj-78	216	38	categories	category	NOUN
ddj-78	216	39	:	:	PUNCT
ddj-78	216	40	basic	basic	ADJ
ddj-78	216	41	polar	polar	ADJ
ddj-78	216	42	,	,	PUNCT
ddj-78	216	43	non	non	ADJ
ddj-78	216	44	-	-	ADJ
ddj-78	216	45	polar	polar	ADJ
ddj-78	216	46	,	,	PUNCT
ddj-78	216	47	and	and	CCONJ
ddj-78	216	48	polar	polar	ADJ
ddj-78	216	49	(	(	PUNCT
ddj-78	216	50	http://en.wikipedia.org/wiki/amino-acids	http://en.wikipedia.org/wiki/amino-acids	PROPN
ddj-78	216	51	)	)	PUNCT
ddj-78	216	52	.	.	PUNCT
ddj-78	217	1	the	the	DET
ddj-78	217	2	numbers	number	NOUN
ddj-78	217	3	of	of	ADP
ddj-78	217	4	amino	amino	NOUN
ddj-78	217	5	-	-	PUNCT
ddj-78	217	6	acids	acid	NOUN
ddj-78	217	7	in	in	ADP
ddj-78	217	8	these	these	DET
ddj-78	217	9	classes	class	NOUN
ddj-78	217	10	are	be	AUX
ddj-78	217	11	a0	a0	NOUN
ddj-78	217	12	=	=	SYM
ddj-78	217	13	3	3	NUM
ddj-78	217	14	,	,	PUNCT
ddj-78	217	15	a1	a1	NOUN
ddj-78	217	16	=	=	SYM
ddj-78	217	17	10	10	NUM
ddj-78	217	18	,	,	PUNCT
ddj-78	217	19	a2	a2	NOUN
ddj-78	217	20	=	=	PUNCT
ddj-78	217	21	7	7	X
ddj-78	217	22	.	.	PUNCT
ddj-78	218	1	could	could	AUX
ddj-78	218	2	these	these	DET
ddj-78	218	3	classes	class	NOUN
ddj-78	218	4	correspond	correspond	VERB
ddj-78	218	5	to	to	ADP
ddj-78	218	6	the	the	DET
ddj-78	218	7	numbers	number	NOUN
ddj-78	218	8	ni	ni	NOUN
ddj-78	218	9	characterizing	characterize	VERB
ddj-78	218	10	partially	partially	ADV
ddj-78	218	11	some	some	DET
ddj-78	218	12	topological	topological	ADJ
ddj-78	218	13	equivalence	equivalence	NOUN
ddj-78	218	14	classes	class	NOUN
ddj-78	218	15	of	of	ADP
ddj-78	218	16	hamiltonian	hamiltonian	ADJ
ddj-78	218	17	paths	path	NOUN
ddj-78	218	18	in	in	ADP
ddj-78	218	19	icosahedron	icosahedron	PROPN
ddj-78	218	20	?	?	PUNCT
ddj-78	219	1	there	there	PRON
ddj-78	219	2	is	be	VERB
ddj-78	219	3	indeed	indeed	ADV
ddj-78	219	4	a	a	DET
ddj-78	219	5	candidate	candidate	NOUN
ddj-78	219	6	:	:	PUNCT
ddj-78	219	7	a0	a0	PROPN
ddj-78	219	8	=	=	SYM
ddj-78	219	9	n0	n0	PROPN
ddj-78	219	10	=	=	SYM
ddj-78	219	11	3	3	NUM
ddj-78	219	12	,	,	PUNCT
ddj-78	219	13	a1	a1	NOUN
ddj-78	219	14	=	=	SYM
ddj-78	219	15	n1	n1	NOUN
ddj-78	219	16	=	=	SYM
ddj-78	219	17	10	10	NUM
ddj-78	219	18	,	,	PUNCT
ddj-78	219	19	a2	a2	NOUN
ddj-78	219	20	=	=	SYM
ddj-78	219	21	n2	n2	PROPN
ddj-78	219	22	=	=	NOUN
ddj-78	219	23	7	7	NUM
ddj-78	219	24	satisfies	satisfy	VERB
ddj-78	219	25	the	the	DET
ddj-78	219	26	conditions	condition	NOUN
ddj-78	219	27	discussed	discuss	VERB
ddj-78	219	28	above	above	ADV
ddj-78	219	29	.	.	PUNCT
ddj-78	220	1	3	3	NUM
ddj-78	220	2	basic	basic	ADJ
ddj-78	220	3	polar	polar	ADJ
ddj-78	220	4	amino	amino	NOUN
ddj-78	220	5	-	-	PUNCT
ddj-78	220	6	acids	acid	NOUN
ddj-78	220	7	would	would	AUX
ddj-78	220	8	correspond	correspond	VERB
ddj-78	220	9	to	to	ADP
ddj-78	220	10	the	the	DET
ddj-78	220	11	triangles	triangle	NOUN
ddj-78	220	12	with	with	ADP
ddj-78	220	13	no	no	DET
ddj-78	220	14	edges	edge	NOUN
ddj-78	220	15	on	on	ADP
ddj-78	220	16	the	the	DET
ddj-78	220	17	hamiltonian	hamiltonian	ADJ
ddj-78	220	18	cycle	cycle	NOUN
ddj-78	220	19	,	,	PUNCT
ddj-78	220	20	10	10	NUM
ddj-78	220	21	non	non	ADJ
ddj-78	220	22	-	-	ADJ
ddj-78	220	23	polar	polar	ADJ
ddj-78	220	24	amino	amino	NOUN
ddj-78	220	25	-	-	PUNCT
ddj-78	220	26	acids	acid	NOUN
ddj-78	220	27	to	to	ADP
ddj-78	220	28	triangles	triangle	NOUN
ddj-78	220	29	containing	contain	VERB
ddj-78	220	30	one	one	NUM
ddj-78	220	31	edge	edge	NOUN
ddj-78	220	32	,	,	PUNCT
ddj-78	220	33	and	and	CCONJ
ddj-78	220	34	7	7	NUM
ddj-78	220	35	acidic	acidic	ADJ
ddj-78	220	36	polar	polar	ADJ
ddj-78	220	37	and	and	CCONJ
ddj-78	220	38	polar	polar	ADJ
ddj-78	220	39	amino	amino	NOUN
ddj-78	220	40	-	-	PUNCT
ddj-78	220	41	acids	acid	NOUN
ddj-78	220	42	to	to	ADP
ddj-78	220	43	those	those	PRON
ddj-78	220	44	containing	contain	VERB
ddj-78	220	45	two	two	NUM
ddj-78	220	46	edges	edge	NOUN
ddj-78	220	47	.	.	PUNCT
ddj-78	221	1	one	one	PRON
ddj-78	221	2	can	can	AUX
ddj-78	221	3	criticize	criticize	VERB
ddj-78	221	4	the	the	DET
ddj-78	221	5	combination	combination	NOUN
ddj-78	221	6	of	of	ADP
ddj-78	221	7	polar	polar	ADJ
ddj-78	221	8	and	and	CCONJ
ddj-78	221	9	acidic	acidic	ADJ
ddj-78	221	10	polar	polar	ADJ
ddj-78	221	11	amino	amino	NOUN
ddj-78	221	12	-	-	PUNCT
ddj-78	221	13	acids	acid	NOUN
ddj-78	221	14	in	in	ADP
ddj-78	221	15	the	the	DET
ddj-78	221	16	same	same	ADJ
ddj-78	221	17	class	class	NOUN
ddj-78	221	18	.	.	PUNCT
ddj-78	222	1	one	one	PRON
ddj-78	222	2	can	can	AUX
ddj-78	222	3	also	also	ADV
ddj-78	222	4	classify	classify	VERB
ddj-78	222	5	amino	amino	NOUN
ddj-78	222	6	-	-	PUNCT
ddj-78	222	7	acids	acid	NOUN
ddj-78	222	8	to	to	PART
ddj-78	222	9	positively	positively	ADV
ddj-78	222	10	charged	charge	VERB
ddj-78	222	11	(	(	PUNCT
ddj-78	222	12	3	3	NUM
ddj-78	222	13	)	)	PUNCT
ddj-78	222	14	,	,	PUNCT
ddj-78	222	15	negatively	negatively	ADV
ddj-78	222	16	charged	charge	VERB
ddj-78	222	17	(	(	PUNCT
ddj-78	222	18	2	2	NUM
ddj-78	222	19	)	)	PUNCT
ddj-78	222	20	and	and	CCONJ
ddj-78	222	21	neutral	neutral	ADJ
ddj-78	222	22	(	(	PUNCT
ddj-78	222	23	15	15	NUM
ddj-78	222	24	)	)	PUNCT
ddj-78	222	25	ones	one	NOUN
ddj-78	222	26	.	.	PUNCT
ddj-78	223	1	in	in	ADP
ddj-78	223	2	this	this	DET
ddj-78	223	3	case	case	NOUN
ddj-78	223	4	the	the	DET
ddj-78	223	5	condition	condition	NOUN
ddj-78	223	6	is	be	AUX
ddj-78	223	7	however	however	ADV
ddj-78	223	8	not	not	PART
ddj-78	223	9	satisfied	satisfied	ADJ
ddj-78	223	10	.	.	PUNCT
ddj-78	224	1	thus	thus	ADV
ddj-78	224	2	the	the	DET
ddj-78	224	3	proposal	proposal	NOUN
ddj-78	224	4	survives	survive	VERB
ddj-78	224	5	the	the	DET
ddj-78	224	6	first	first	ADJ
ddj-78	224	7	test	test	NOUN
ddj-78	224	8	assuming	assume	VERB
ddj-78	224	9	of	of	ADP
ddj-78	224	10	a	a	DET
ddj-78	224	11	course	course	NOUN
ddj-78	224	12	that	that	SCONJ
ddj-78	224	13	these	these	DET
ddj-78	224	14	hamiltonian	hamiltonian	ADJ
ddj-78	224	15	cycles	cycle	NOUN
ddj-78	224	16	exist	exist	VERB
ddj-78	224	17	!	!	PUNCT
ddj-78	225	1	this	this	PRON
ddj-78	225	2	has	have	AUX
ddj-78	225	3	not	not	PART
ddj-78	225	4	been	be	AUX
ddj-78	225	5	proven	prove	VERB
ddj-78	225	6	and	and	CCONJ
ddj-78	225	7	would	would	AUX
ddj-78	225	8	require	require	VERB
ddj-78	225	9	numerical	numerical	ADJ
ddj-78	225	10	calculations	calculation	NOUN
ddj-78	225	11	.	.	PUNCT
ddj-78	226	1	3	3	X
ddj-78	226	2	.	.	X
ddj-78	226	3	as	as	ADP
ddj-78	226	4	found	find	VERB
ddj-78	226	5	hamiltonian	hamiltonian	ADJ
ddj-78	226	6	paths	path	NOUN
ddj-78	226	7	have	have	VERB
ddj-78	226	8	also	also	ADV
ddj-78	226	9	other	other	ADJ
ddj-78	226	10	topological	topological	ADJ
ddj-78	226	11	characteristics	characteristic	NOUN
ddj-78	226	12	and	and	CCONJ
ddj-78	226	13	they	they	PRON
ddj-78	226	14	could	could	AUX
ddj-78	226	15	correspond	correspond	VERB
ddj-78	226	16	to	to	ADP
ddj-78	226	17	physical	physical	ADJ
ddj-78	226	18	characteristics	characteristic	NOUN
ddj-78	226	19	and	and	CCONJ
ddj-78	226	20	it	it	PRON
ddj-78	226	21	would	would	AUX
ddj-78	226	22	be	be	AUX
ddj-78	226	23	interesting	interesting	ADJ
ddj-78	226	24	to	to	PART
ddj-78	226	25	see	see	VERB
ddj-78	226	26	what	what	PRON
ddj-78	226	27	theyh	theyh	NOUN
ddj-78	226	28	are	be	AUX
ddj-78	226	29	.	.	PUNCT
ddj-78	227	1	to	to	PART
ddj-78	227	2	proceed	proceed	VERB
ddj-78	227	3	further	furth	ADJ
ddj-78	227	4	one	one	NUM
ddj-78	227	5	should	should	AUX
ddj-78	227	6	find	find	VERB
ddj-78	227	7	the	the	DET
ddj-78	227	8	total	total	ADJ
ddj-78	227	9	number	number	NOUN
ddj-78	227	10	of	of	ADP
ddj-78	227	11	the	the	DET
ddj-78	227	12	hamiltonian	hamiltonian	ADJ
ddj-78	227	13	paths	path	NOUN
ddj-78	227	14	with	with	ADP
ddj-78	227	15	n2	n2	ADJ
ddj-78	227	16	=	=	SYM
ddj-78	227	17	7	7	NUM
ddj-78	227	18	and	and	CCONJ
ddj-78	227	19	identify	identify	VERB
ddj-78	227	20	the	the	DET
ddj-78	227	21	isometries	isometry	NOUN
ddj-78	227	22	of	of	ADP
ddj-78	227	23	different	different	ADJ
ddj-78	227	24	topological	topological	ADJ
ddj-78	227	25	equivalence	equivalence	NOUN
ddj-78	227	26	class	class	NOUN
ddj-78	227	27	having	have	VERB
ddj-78	227	28	n2	n2	NOUN
ddj-78	227	29	=	=	ADJ
ddj-78	227	30	7	7	X
ddj-78	227	31	.	.	X
ddj-78	227	32	amino	amino	NOUN
ddj-78	227	33	-	-	PUNCT
ddj-78	227	34	acid	acid	NOUN
ddj-78	227	35	sequences	sequence	NOUN
ddj-78	227	36	would	would	AUX
ddj-78	227	37	correspond	correspond	VERB
ddj-78	227	38	to	to	ADP
ddj-78	227	39	sequences	sequence	NOUN
ddj-78	227	40	of	of	ADP
ddj-78	227	41	3	3	NUM
ddj-78	227	42	-	-	PUNCT
ddj-78	227	43	chords	chord	NOUN
ddj-78	227	44	.	.	PUNCT
ddj-78	228	1	the	the	DET
ddj-78	228	2	translation	translation	NOUN
ddj-78	228	3	of	of	ADP
ddj-78	228	4	mrna	mrna	PROPN
ddj-78	228	5	of	of	ADP
ddj-78	228	6	gene	gene	NOUN
ddj-78	228	7	to	to	ADP
ddj-78	228	8	amino	amino	NOUN
ddj-78	228	9	-	-	PUNCT
ddj-78	228	10	acid	acid	NOUN
ddj-78	228	11	sequence	sequence	NOUN
ddj-78	228	12	would	would	AUX
ddj-78	228	13	be	be	AUX
ddj-78	228	14	analogous	analogous	ADJ
ddj-78	228	15	to	to	ADP
ddj-78	228	16	the	the	DET
ddj-78	228	17	playing	playing	NOUN
ddj-78	228	18	of	of	ADP
ddj-78	228	19	a	a	DET
ddj-78	228	20	record	record	NOUN
ddj-78	228	21	.	.	PUNCT
ddj-78	229	1	the	the	DET
ddj-78	229	2	ribosome	ribosome	PROPN
ddj-78	229	3	complex	complex	NOUN
ddj-78	229	4	would	would	AUX
ddj-78	229	5	be	be	AUX
ddj-78	229	6	the	the	DET
ddj-78	229	7	record	record	NOUN
ddj-78	229	8	player	player	NOUN
ddj-78	229	9	,	,	PUNCT
ddj-78	229	10	the	the	DET
ddj-78	229	11	amino	amino	NOUN
ddj-78	229	12	-	-	PUNCT
ddj-78	229	13	acid	acid	NOUN
ddj-78	229	14	sequence	sequence	NOUN
ddj-78	229	15	would	would	AUX
ddj-78	229	16	be	be	AUX
ddj-78	229	17	the	the	DET
ddj-78	229	18	music	music	NOUN
ddj-78	229	19	,	,	PUNCT
ddj-78	229	20	and	and	CCONJ
ddj-78	229	21	mrna	mrna	PROPN
ddj-78	229	22	would	would	AUX
ddj-78	229	23	be	be	AUX
ddj-78	229	24	the	the	DET
ddj-78	229	25	record	record	NOUN
ddj-78	229	26	.	.	PUNCT
ddj-78	230	1	hence	hence	ADV
ddj-78	230	2	genes	gene	NOUN
ddj-78	230	3	would	would	AUX
ddj-78	230	4	define	define	VERB
ddj-78	230	5	a	a	DET
ddj-78	230	6	collection	collection	NOUN
ddj-78	230	7	of	of	ADP
ddj-78	230	8	records	record	NOUN
ddj-78	230	9	characterizing	characterize	VERB
ddj-78	230	10	the	the	DET
ddj-78	230	11	organism	organism	NOUN
ddj-78	230	12	.	.	PUNCT
ddj-78	231	1	3.2	3.2	NUM
ddj-78	231	2	can	can	AUX
ddj-78	231	3	one	one	PRON
ddj-78	231	4	understand	understand	VERB
ddj-78	231	5	genetic	genetic	ADJ
ddj-78	231	6	code	code	NOUN
ddj-78	231	7	?	?	PUNCT
ddj-78	232	1	what	what	PRON
ddj-78	232	2	remains	remain	VERB
ddj-78	232	3	open	open	ADJ
ddj-78	232	4	is	be	AUX
ddj-78	232	5	the	the	DET
ddj-78	232	6	interpretation	interpretation	NOUN
ddj-78	232	7	of	of	ADP
ddj-78	232	8	genetic	genetic	ADJ
ddj-78	232	9	code	code	NOUN
ddj-78	233	1	[	[	X
ddj-78	233	2	5	5	NUM
ddj-78	233	3	]	]	PUNCT
ddj-78	233	4	.	.	PUNCT
ddj-78	234	1	dna	dna	PROPN
ddj-78	234	2	triplets	triplet	NOUN
ddj-78	234	3	would	would	AUX
ddj-78	234	4	correspond	correspond	VERB
ddj-78	234	5	naturally	naturally	ADV
ddj-78	234	6	to	to	ADP
ddj-78	234	7	triangles	triangle	NOUN
ddj-78	234	8	but	but	CCONJ
ddj-78	234	9	why	why	SCONJ
ddj-78	234	10	their	their	PRON
ddj-78	234	11	number	number	NOUN
ddj-78	234	12	is	be	AUX
ddj-78	234	13	64	64	NUM
ddj-78	234	14	instead	instead	ADV
ddj-78	234	15	of	of	ADP
ddj-78	234	16	20	20	NUM
ddj-78	234	17	.	.	PUNCT
ddj-78	235	1	they	they	PRON
ddj-78	235	2	would	would	AUX
ddj-78	235	3	be	be	AUX
ddj-78	235	4	obviously	obviously	ADV
ddj-78	235	5	the	the	DET
ddj-78	235	6	analogs	analog	NOUN
ddj-78	235	7	of	of	ADP
ddj-78	235	8	written	write	VERB
ddj-78	235	9	notes	note	NOUN
ddj-78	235	10	:	:	PUNCT
ddj-78	235	11	why	why	SCONJ
ddj-78	235	12	several	several	ADJ
ddj-78	235	13	notes	note	NOUN
ddj-78	235	14	would	would	AUX
ddj-78	235	15	correspond	correspond	VERB
ddj-78	235	16	to	to	ADP
ddj-78	235	17	the	the	DET
ddj-78	235	18	same	same	ADJ
ddj-78	235	19	chord	chord	NOUN
ddj-78	235	20	?	?	PUNCT
ddj-78	236	1	1	1	X
ddj-78	236	2	.	.	X
ddj-78	236	3	could	could	AUX
ddj-78	236	4	different	different	VERB
ddj-78	236	5	dna	dna	NOUN
ddj-78	236	6	triplets	triplet	NOUN
ddj-78	236	7	coding	code	VERB
ddj-78	236	8	for	for	ADP
ddj-78	236	9	the	the	DET
ddj-78	236	10	same	same	ADJ
ddj-78	236	11	amino	amino	NOUN
ddj-78	236	12	-	-	PUNCT
ddj-78	236	13	acid	acid	NOUN
ddj-78	236	14	correspond	correspond	NOUN
ddj-78	236	15	to	to	ADP
ddj-78	236	16	various	various	ADJ
ddj-78	236	17	octaves	octave	NOUN
ddj-78	236	18	of	of	ADP
ddj-78	236	19	the	the	DET
ddj-78	236	20	chord	chord	NOUN
ddj-78	236	21	?	?	PUNCT
ddj-78	237	1	the	the	DET
ddj-78	237	2	most	most	ADV
ddj-78	237	3	natural	natural	ADJ
ddj-78	237	4	expectation	expectation	NOUN
ddj-78	237	5	would	would	AUX
ddj-78	237	6	be	be	AUX
ddj-78	237	7	that	that	SCONJ
ddj-78	237	8	the	the	DET
ddj-78	237	9	number	number	NOUN
ddj-78	237	10	of	of	ADP
ddj-78	237	11	octaves	octave	NOUN
ddj-78	237	12	so	so	SCONJ
ddj-78	237	13	that	that	SCONJ
ddj-78	237	14	one	one	PRON
ddj-78	237	15	would	would	AUX
ddj-78	237	16	have	have	VERB
ddj-78	237	17	3	3	NUM
ddj-78	237	18	dnas	dna	NOUN
ddj-78	237	19	would	would	AUX
ddj-78	237	20	code	code	VERB
ddj-78	237	21	single	single	ADJ
ddj-78	237	22	amino	amino	NOUN
ddj-78	237	23	-	-	PUNCT
ddj-78	237	24	acid	acid	NOUN
ddj-78	237	25	and	and	CCONJ
ddj-78	237	26	stopping	stop	VERB
ddj-78	237	27	codon	codon	NOUN
ddj-78	237	28	would	would	AUX
ddj-78	237	29	correspond	correspond	VERB
ddj-78	237	30	to	to	ADP
ddj-78	237	31	4	4	NUM
ddj-78	237	32	dnas	dna	NOUN
ddj-78	237	33	.	.	PUNCT
ddj-78	238	1	it	it	PRON
ddj-78	238	2	is	be	AUX
ddj-78	238	3	difficult	difficult	ADJ
ddj-78	238	4	to	to	PART
ddj-78	238	5	understand	understand	VERB
ddj-78	238	6	why	why	SCONJ
ddj-78	238	7	some	some	DET
ddj-78	238	8	3	3	NUM
ddj-78	238	9	-	-	PUNCT
ddj-78	238	10	chords	chord	NOUN
ddj-78	238	11	could	could	AUX
ddj-78	238	12	correspond	correspond	VERB
ddj-78	238	13	to	to	ADP
ddj-78	238	14	6	6	NUM
ddj-78	238	15	octaves	octave	NOUN
ddj-78	238	16	and	and	CCONJ
ddj-78	238	17	one	one	NUM
ddj-78	238	18	of	of	ADP
ddj-78	238	19	them	they	PRON
ddj-78	238	20	only	only	ADV
ddj-78	238	21	one	one	NUM
ddj-78	238	22	.	.	PUNCT
ddj-78	239	1	2	2	X
ddj-78	239	2	.	.	X
ddj-78	239	3	could	could	AUX
ddj-78	239	4	the	the	DET
ddj-78	239	5	degeneracy	degeneracy	NOUN
ddj-78	239	6	correspond	correspond	VERB
ddj-78	239	7	to	to	ADP
ddj-78	239	8	the	the	DET
ddj-78	239	9	ordering	ordering	NOUN
ddj-78	239	10	of	of	ADP
ddj-78	239	11	the	the	DET
ddj-78	239	12	notes	note	NOUN
ddj-78	239	13	of	of	ADP
ddj-78	239	14	the	the	DET
ddj-78	239	15	3	3	NUM
ddj-78	239	16	-	-	NOUN
ddj-78	239	17	chord	chord	NOUN
ddj-78	239	18	?	?	PUNCT
ddj-78	240	1	for	for	ADP
ddj-78	240	2	the	the	DET
ddj-78	240	3	3	3	NUM
ddj-78	240	4	-	-	PUNCT
ddj-78	240	5	chords	chord	NOUN
ddj-78	240	6	there	there	PRON
ddj-78	240	7	are	be	VERB
ddj-78	240	8	6	6	NUM
ddj-78	240	9	general	general	ADJ
ddj-78	240	10	orderings	ordering	NOUN
ddj-78	240	11	and	and	CCONJ
ddj-78	240	12	3	3	NUM
ddj-78	240	13	cyclic	cyclic	ADJ
ddj-78	240	14	orderings	ordering	NOUN
ddj-78	240	15	modulo	modulo	VERB
ddj-78	240	16	octave	octave	NOUN
ddj-78	240	17	equivalence	equivalence	NOUN
ddj-78	240	18	and	and	CCONJ
ddj-78	240	19	characterizing	characterizing	NOUN
ddj-78	240	20	by	by	ADP
ddj-78	240	21	the	the	DET
ddj-78	240	22	choice	choice	NOUN
ddj-78	240	23	of	of	ADP
ddj-78	240	24	the	the	DET
ddj-78	240	25	lowest	low	ADJ
ddj-78	240	26	note	note	NOUN
ddj-78	240	27	.	.	PUNCT
ddj-78	241	1	the	the	DET
ddj-78	241	2	simplest	simple	ADJ
ddj-78	241	3	assumption	assumption	NOUN
ddj-78	241	4	would	would	AUX
ddj-78	241	5	be	be	AUX
ddj-78	241	6	that	that	SCONJ
ddj-78	241	7	the	the	DET
ddj-78	241	8	allowed	allow	VERB
ddj-78	241	9	orderings	ordering	NOUN
ddj-78	241	10	degeneracies	degeneracy	NOUN
ddj-78	241	11	are	be	AUX
ddj-78	241	12	characterized	characterize	VERB
ddj-78	241	13	by	by	ADP
ddj-78	241	14	a	a	DET
ddj-78	241	15	subgroup	subgroup	NOUN
ddj-78	241	16	of	of	ADP
ddj-78	241	17	the	the	DET
ddj-78	241	18	cyclic	cyclic	ADJ
ddj-78	241	19	group	group	NOUN
ddj-78	241	20	s3	s3	PROPN
ddj-78	241	21	yielding	yield	VERB
ddj-78	241	22	the	the	DET
ddj-78	241	23	allowed	allow	VERB
ddj-78	241	24	permutations	permutation	NOUN
ddj-78	241	25	of	of	ADP
ddj-78	241	26	the	the	DET
ddj-78	241	27	notes	note	NOUN
ddj-78	241	28	of	of	ADP
ddj-78	241	29	the	the	DET
ddj-78	241	30	chord	chord	NOUN
ddj-78	241	31	.	.	PUNCT
ddj-78	242	1	the	the	DET
ddj-78	242	2	subgroup	subgroup	NOUN
ddj-78	242	3	orders	order	NOUN
ddj-78	242	4	for	for	ADP
ddj-78	242	5	s3	s3	PROPN
ddj-78	242	6	are	be	AUX
ddj-78	242	7	1,2,3	1,2,3	NUM
ddj-78	242	8	,	,	PUNCT
ddj-78	242	9	and	and	CCONJ
ddj-78	242	10	6	6	NUM
ddj-78	242	11	.	.	PUNCT
ddj-78	243	1	the	the	DET
ddj-78	243	2	allowed	allow	VERB
ddj-78	243	3	degeneracies	degeneracy	NOUN
ddj-78	243	4	are	be	AUX
ddj-78	243	5	6,4,3,2	6,4,3,2	NUM
ddj-78	243	6	,	,	PUNCT
ddj-78	243	7	and	and	CCONJ
ddj-78	243	8	1	1	NUM
ddj-78	243	9	so	so	SCONJ
ddj-78	243	10	that	that	SCONJ
ddj-78	243	11	this	this	DET
ddj-78	243	12	identification	identification	NOUN
ddj-78	243	13	fails	fail	VERB
ddj-78	243	14	for	for	ADP
ddj-78	243	15	d	d	NOUN
ddj-78	243	16	=	=	SYM
ddj-78	243	17	4	4	NUM
ddj-78	243	18	.	.	NOUN
ddj-78	243	19	3	3	X
ddj-78	243	20	.	.	X
ddj-78	244	1	could	could	AUX
ddj-78	244	2	the	the	DET
ddj-78	244	3	different	different	ADJ
ddj-78	244	4	correspondences	correspondence	NOUN
ddj-78	244	5	between	between	ADP
ddj-78	244	6	dna	dna	PROPN
ddj-78	244	7	codons	codon	NOUN
ddj-78	244	8	and	and	CCONJ
ddj-78	244	9	amino	amino	NOUN
ddj-78	244	10	-	-	PUNCT
ddj-78	244	11	acids	acid	NOUN
ddj-78	244	12	correspond	correspond	NOUN
ddj-78	244	13	to	to	ADP
ddj-78	244	14	the	the	DET
ddj-78	244	15	different	different	ADJ
ddj-78	244	16	topological	topological	ADJ
ddj-78	244	17	equivalence	equivalence	NOUN
ddj-78	244	18	classes	class	NOUN
ddj-78	244	19	of	of	ADP
ddj-78	244	20	n2	n2	NOUN
ddj-78	244	21	=	=	SYM
ddj-78	244	22	7	7	NUM
ddj-78	244	23	hamiltonian	hamiltonian	ADJ
ddj-78	244	24	cycles	cycle	NOUN
ddj-78	244	25	.	.	PUNCT
ddj-78	245	1	this	this	PRON
ddj-78	245	2	does	do	AUX
ddj-78	245	3	not	not	PART
ddj-78	245	4	seem	seem	VERB
ddj-78	245	5	to	to	PART
ddj-78	245	6	be	be	AUX
ddj-78	245	7	the	the	DET
ddj-78	245	8	case	case	NOUN
ddj-78	245	9	.	.	PUNCT
ddj-78	246	1	the	the	DET
ddj-78	246	2	number	number	NOUN
ddj-78	246	3	of	of	ADP
ddj-78	246	4	different	different	ADJ
ddj-78	246	5	dna	dna	NOUN
ddj-78	246	6	-	-	PUNCT
ddj-78	246	7	amino	amino	ADJ
ddj-78	246	8	-	-	PUNCT
ddj-78	246	9	acid	acid	NOUN
ddj-78	246	10	correspondences	correspondence	NOUN
ddj-78	246	11	obtained	obtain	VERB
ddj-78	246	12	by	by	ADP
ddj-78	246	13	choosing	choose	VERB
ddj-78	246	14	one	one	NUM
ddj-78	246	15	representative	representative	NOUN
ddj-78	246	16	from	from	ADP
ddj-78	246	17	the	the	DET
ddj-78	246	18	set	set	NOUN
ddj-78	246	19	of	of	ADP
ddj-78	246	20	dnas	dna	NOUN
ddj-78	246	21	coding	code	VERB
ddj-78	246	22	for	for	ADP
ddj-78	246	23	a	a	DET
ddj-78	246	24	given	give	VERB
ddj-78	246	25	amino	amino	NOUN
ddj-78	246	26	-	-	PUNCT
ddj-78	246	27	acid	acid	NOUN
ddj-78	246	28	(	(	PUNCT
ddj-78	246	29	and	and	CCONJ
ddj-78	246	30	not	not	PART
ddj-78	246	31	stopping	stop	VERB
ddj-78	246	32	sign	sign	NOUN
ddj-78	246	33	)	)	PUNCT
ddj-78	246	34	is	be	AUX
ddj-78	246	35	the	the	DET
ddj-78	246	36	product	product	NOUN
ddj-78	246	37	of	of	ADP
ddj-78	246	38	the	the	DET
ddj-78	246	39	numbers	number	NOUN
ddj-78	246	40	d(ai	d(ai	NOUN
ddj-78	246	41	)	)	PUNCT
ddj-78	246	42	coding	code	VERB
ddj-78	246	43	amino	amino	NOUN
ddj-78	246	44	-	-	PUNCT
ddj-78	246	45	acid	acid	NOUN
ddj-78	246	46	ai	ai	NOUN
ddj-78	246	47	.	.	PROPN
ddj-78	247	1	from	from	ADP
ddj-78	247	2	the	the	DET
ddj-78	247	3	table	table	NOUN
ddj-78	247	4	below	below	ADP
ddj-78	247	5	this	this	DET
ddj-78	247	6	number	number	NOUN
ddj-78	247	7	is	be	AUX
ddj-78	247	8	given	give	VERB
ddj-78	247	9	by	by	ADP
ddj-78	247	10	63	63	NUM
ddj-78	247	11	×	×	NOUN
ddj-78	247	12	45	45	NUM
ddj-78	247	13	×	×	NOUN
ddj-78	247	14	31	31	NUM
ddj-78	247	15	×	×	NOUN
ddj-78	247	16	29	29	NUM
ddj-78	247	17	×	×	NOUN
ddj-78	247	18	12	12	NUM
ddj-78	247	19	=	=	SYM
ddj-78	247	20	34	34	NUM
ddj-78	247	21	×	×	NOUN
ddj-78	247	22	221	221	NUM
ddj-78	247	23	and	and	CCONJ
ddj-78	247	24	clearly	clearly	ADV
ddj-78	247	25	much	much	ADV
ddj-78	247	26	larger	large	ADJ
ddj-78	247	27	than	than	ADP
ddj-78	247	28	n	n	NOUN
ddj-78	247	29	=	=	SYM
ddj-78	247	30	210	210	NUM
ddj-78	247	31	.	.	PUNCT
ddj-78	248	1	4	4	X
ddj-78	248	2	.	.	X
ddj-78	248	3	could	could	AUX
ddj-78	248	4	the	the	DET
ddj-78	248	5	different	different	ADJ
ddj-78	248	6	codons	codon	NOUN
ddj-78	248	7	coding	code	VERB
ddj-78	248	8	for	for	ADP
ddj-78	248	9	codon	codon	NOUN
ddj-78	248	10	code	code	NOUN
ddj-78	248	11	for	for	ADP
ddj-78	248	12	some	some	DET
ddj-78	248	13	additional	additional	ADJ
ddj-78	248	14	information	information	NOUN
ddj-78	248	15	so	so	SCONJ
ddj-78	248	16	that	that	SCONJ
ddj-78	248	17	aminoacids	aminoacid	NOUN
ddj-78	248	18	would	would	AUX
ddj-78	248	19	in	in	ADP
ddj-78	248	20	some	some	DET
ddj-78	248	21	aspect	aspect	NOUN
ddj-78	248	22	differ	differ	VERB
ddj-78	248	23	from	from	ADP
ddj-78	248	24	each	each	DET
ddj-78	248	25	other	other	ADJ
ddj-78	248	26	although	although	SCONJ
ddj-78	248	27	they	they	PRON
ddj-78	248	28	are	be	AUX
ddj-78	248	29	chemically	chemically	ADV
ddj-78	248	30	identical	identical	ADJ
ddj-78	248	31	?	?	PUNCT
ddj-78	249	1	here	here	ADV
ddj-78	249	2	the	the	DET
ddj-78	249	3	magnetic	magnetic	ADJ
ddj-78	249	4	body	body	NOUN
ddj-78	249	5	of	of	ADP
ddj-78	249	6	amino	amino	NOUN
ddj-78	249	7	-	-	PUNCT
ddj-78	249	8	acid	acid	NOUN
ddj-78	249	9	is	be	AUX
ddj-78	249	10	a	a	DET
ddj-78	249	11	natural	natural	ADJ
ddj-78	249	12	candidate	candidate	NOUN
ddj-78	249	13	.	.	PUNCT
ddj-78	250	1	this	this	PRON
ddj-78	250	2	would	would	AUX
ddj-78	250	3	suggest	suggest	VERB
ddj-78	250	4	that	that	SCONJ
ddj-78	250	5	the	the	DET
ddj-78	250	6	folding	fold	VERB
ddj-78	250	7	pattern	pattern	NOUN
ddj-78	250	8	of	of	ADP
ddj-78	250	9	the	the	DET
ddj-78	250	10	protein	protein	NOUN
ddj-78	250	11	depends	depend	VERB
ddj-78	250	12	on	on	ADP
ddj-78	250	13	what	what	PRON
ddj-78	250	14	dna	dna	PROPN
ddj-78	250	15	sequence	sequence	NOUN
ddj-78	250	16	codes	code	VERB
ddj-78	250	17	it	it	PRON
ddj-78	250	18	.	.	PUNCT
ddj-78	251	1	this	this	DET
ddj-78	251	2	information	information	NOUN
ddj-78	251	3	might	might	AUX
ddj-78	251	4	be	be	AUX
ddj-78	251	5	analogous	analogous	ADJ
ddj-78	251	6	to	to	ADP
ddj-78	251	7	the	the	DET
ddj-78	251	8	information	information	NOUN
ddj-78	251	9	contained	contain	VERB
ddj-78	251	10	by	by	ADP
ddj-78	251	11	notes	note	NOUN
ddj-78	251	12	besides	besides	SCONJ
ddj-78	251	13	the	the	DET
ddj-78	251	14	frequencies	frequency	NOUN
ddj-78	251	15	.	.	PUNCT
ddj-78	252	1	durations	duration	NOUN
ddj-78	252	2	of	of	ADP
ddj-78	252	3	notes	note	NOUN
ddj-78	252	4	corresponds	correspond	VERB
ddj-78	252	5	is	be	AUX
ddj-78	252	6	the	the	DET
ddj-78	252	7	most	most	ADV
ddj-78	252	8	isbn	isbn	ADJ
ddj-78	252	9	:	:	PUNCT
ddj-78	252	10	2159	2159	NUM
ddj-78	252	11	-	-	PUNCT
ddj-78	252	12	046x	046x	NOUN
ddj-78	252	13	dna	dna	NOUN
ddj-78	252	14	decipher	decipher	PROPN
ddj-78	252	15	journal	journal	PROPN
ddj-78	252	16	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	252	17	published	publish	VERB
ddj-78	252	18	by	by	ADP
ddj-78	252	19	quantumdream	quantumdream	PROPN
ddj-78	252	20	,	,	PUNCT
ddj-78	252	21	inc	inc	PROPN
ddj-78	252	22	.	.	PROPN
ddj-78	253	1	http://en.wikipedia.org/wiki/amino-acids	http://en.wikipedia.org/wiki/amino-acids	PROPN
ddj-78	253	2	dna	dna	PROPN
ddj-78	253	3	decipher	decipher	PROPN
ddj-78	253	4	journal	journal	PROPN
ddj-78	253	5	|	|	ADV
ddj-78	253	6	october	october	PROPN
ddj-78	253	7	2014	2014	NUM
ddj-78	253	8	|	|	ADV
ddj-78	253	9	volume	volume	NOUN
ddj-78	253	10	4	4	NUM
ddj-78	253	11	|	|	NOUN
ddj-78	253	12	issue	issue	VERB
ddj-78	253	13	2	2	NUM
ddj-78	253	14	|	|	CCONJ
ddj-78	253	15	pp	pp	ADJ
ddj-78	253	16	.	.	PUNCT
ddj-78	254	1	141	141	NUM
ddj-78	254	2	-	-	SYM
ddj-78	254	3	160	160	NUM
ddj-78	254	4	150	150	NUM
ddj-78	254	5	pitkänen	pitkänen	NOUN
ddj-78	254	6	,	,	PUNCT
ddj-78	254	7	m.	m.	NOUN
ddj-78	254	8	pythagoras	pythagoras	PROPN
ddj-78	254	9	,	,	PUNCT
ddj-78	254	10	music	music	NOUN
ddj-78	254	11	,	,	PUNCT
ddj-78	254	12	sacred	sacred	ADJ
ddj-78	254	13	geometry	geometry	NOUN
ddj-78	254	14	and	and	CCONJ
ddj-78	254	15	genetic	genetic	ADJ
ddj-78	254	16	code	code	NOUN
ddj-78	254	17	important	important	ADJ
ddj-78	254	18	information	information	NOUN
ddj-78	254	19	of	of	ADP
ddj-78	254	20	this	this	DET
ddj-78	254	21	kind	kind	NOUN
ddj-78	254	22	:	:	PUNCT
ddj-78	254	23	the	the	DET
ddj-78	254	24	only	only	ADJ
ddj-78	254	25	candidate	candidate	NOUN
ddj-78	254	26	for	for	ADP
ddj-78	254	27	this	this	DET
ddj-78	254	28	kind	kind	NOUN
ddj-78	254	29	of	of	ADP
ddj-78	254	30	information	information	NOUN
ddj-78	254	31	is	be	AUX
ddj-78	254	32	the	the	DET
ddj-78	254	33	value	value	NOUN
ddj-78	254	34	of	of	ADP
ddj-78	254	35	heff	heff	PROPN
ddj-78	254	36	=	=	SYM
ddj-78	254	37	n	n	CCONJ
ddj-78	254	38	×	×	NOUN
ddj-78	254	39	h	h	NOUN
ddj-78	254	40	associated	associate	VERB
ddj-78	254	41	with	with	ADP
ddj-78	254	42	the	the	DET
ddj-78	254	43	amino	amino	NOUN
ddj-78	254	44	-	-	PUNCT
ddj-78	254	45	acid	acid	NOUN
ddj-78	254	46	magnetic	magnetic	ADJ
ddj-78	254	47	body	body	NOUN
ddj-78	254	48	determining	determine	VERB
ddj-78	254	49	its	its	PRON
ddj-78	254	50	size	size	NOUN
ddj-78	254	51	scale	scale	NOUN
ddj-78	254	52	.	.	PUNCT
ddj-78	255	1	magnetic	magnetic	ADJ
ddj-78	255	2	fields	field	NOUN
ddj-78	255	3	strength	strength	NOUN
ddj-78	255	4	could	could	AUX
ddj-78	255	5	be	be	AUX
ddj-78	255	6	also	also	ADV
ddj-78	255	7	code	code	VERB
ddj-78	255	8	by	by	ADP
ddj-78	255	9	dna	dna	PROPN
ddj-78	255	10	codon	codon	NOUN
ddj-78	255	11	besides	besides	SCONJ
ddj-78	255	12	amino	amino	NOUN
ddj-78	255	13	-	-	PUNCT
ddj-78	255	14	acid	acid	NOUN
ddj-78	255	15	.	.	PUNCT
ddj-78	256	1	d	d	NOUN
ddj-78	256	2	6	6	NUM
ddj-78	256	3	4	4	NUM
ddj-78	256	4	3	3	NUM
ddj-78	256	5	2	2	NUM
ddj-78	256	6	1	1	NUM
ddj-78	256	7	n	n	NUM
ddj-78	256	8	3	3	NUM
ddj-78	256	9	5	5	NUM
ddj-78	256	10	2	2	NUM
ddj-78	256	11	9	9	NUM
ddj-78	256	12	2	2	NUM
ddj-78	256	13	table	table	NOUN
ddj-78	256	14	1	1	NUM
ddj-78	256	15	.	.	PUNCT
ddj-78	257	1	the	the	DET
ddj-78	257	2	number	number	NOUN
ddj-78	257	3	of	of	ADP
ddj-78	257	4	amino	amino	ADJ
ddj-78	257	5	acids	acid	NOUN
ddj-78	257	6	n	n	PROPN
ddj-78	257	7	associated	associate	VERB
ddj-78	257	8	with	with	ADP
ddj-78	257	9	a	a	DET
ddj-78	257	10	given	give	VERB
ddj-78	257	11	degeneracy	degeneracy	NOUN
ddj-78	257	12	d	d	ADP
ddj-78	257	13	telling	tell	VERB
ddj-78	257	14	the	the	DET
ddj-78	257	15	number	number	NOUN
ddj-78	257	16	of	of	ADP
ddj-78	257	17	dna	dna	NOUN
ddj-78	257	18	triplets	triplet	NOUN
ddj-78	257	19	mapped	map	VERB
ddj-78	257	20	to	to	ADP
ddj-78	257	21	the	the	DET
ddj-78	257	22	amino	amino	NOUN
ddj-78	257	23	acid	acid	NOUN
ddj-78	257	24	in	in	ADP
ddj-78	257	25	the	the	DET
ddj-78	257	26	genetic	genetic	ADJ
ddj-78	257	27	code	code	NOUN
ddj-78	257	28	.	.	PUNCT
ddj-78	258	1	the	the	DET
ddj-78	258	2	degeneracies	degeneracy	NOUN
ddj-78	258	3	are	be	AUX
ddj-78	258	4	always	always	ADV
ddj-78	258	5	smaller	small	ADJ
ddj-78	258	6	than	than	ADP
ddj-78	258	7	7	7	NUM
ddj-78	258	8	as	as	SCONJ
ddj-78	258	9	predicted	predict	VERB
ddj-78	258	10	by	by	ADP
ddj-78	258	11	the	the	DET
ddj-78	258	12	proposed	propose	VERB
ddj-78	258	13	explanation	explanation	NOUN
ddj-78	258	14	of	of	ADP
ddj-78	258	15	the	the	DET
ddj-78	258	16	genetic	genetic	ADJ
ddj-78	258	17	code	code	NOUN
ddj-78	258	18	.	.	PUNCT
ddj-78	259	1	second	second	ADJ
ddj-78	259	2	question	question	NOUN
ddj-78	259	3	concerns	concern	VERB
ddj-78	259	4	genetic	genetic	ADJ
ddj-78	259	5	code	code	NOUN
ddj-78	259	6	itself	itself	PRON
ddj-78	259	7	.	.	PUNCT
ddj-78	260	1	could	could	AUX
ddj-78	260	2	the	the	DET
ddj-78	260	3	dna	dna	PROPN
ddj-78	260	4	degeneracies	degeneracy	NOUN
ddj-78	260	5	d(ai	d(ai	PROPN
ddj-78	260	6	)	)	PUNCT
ddj-78	260	7	(	(	PUNCT
ddj-78	260	8	number	number	NOUN
ddj-78	260	9	of	of	ADP
ddj-78	260	10	dnas	dna	NOUN
ddj-78	260	11	coding	code	VERB
ddj-78	260	12	for	for	ADP
ddj-78	260	13	amino	amino	NOUN
ddj-78	260	14	-	-	PUNCT
ddj-78	260	15	acid	acid	NOUN
ddj-78	260	16	ai	ai	NOUN
ddj-78	260	17	)	)	PUNCT
ddj-78	260	18	be	be	AUX
ddj-78	260	19	understood	understand	VERB
ddj-78	260	20	group	group	NOUN
ddj-78	260	21	theoretically	theoretically	ADV
ddj-78	260	22	in	in	ADP
ddj-78	260	23	terms	term	NOUN
ddj-78	260	24	of	of	ADP
ddj-78	260	25	icosahedral	icosahedral	ADJ
ddj-78	260	26	geometry	geometry	NOUN
ddj-78	260	27	?	?	PUNCT
ddj-78	261	1	the	the	DET
ddj-78	261	2	triangles	triangle	NOUN
ddj-78	261	3	of	of	ADP
ddj-78	261	4	the	the	DET
ddj-78	261	5	icosahedron	icosahedron	X
ddj-78	261	6	are	be	AUX
ddj-78	261	7	mapped	map	VERB
ddj-78	261	8	the	the	DET
ddj-78	261	9	triangles	triangle	NOUN
ddj-78	261	10	under	under	ADP
ddj-78	261	11	the	the	DET
ddj-78	261	12	isometries	isometry	NOUN
ddj-78	261	13	.	.	PUNCT
ddj-78	262	1	1	1	X
ddj-78	262	2	.	.	X
ddj-78	262	3	one	one	PRON
ddj-78	262	4	can	can	AUX
ddj-78	262	5	start	start	VERB
ddj-78	262	6	by	by	ADP
ddj-78	262	7	looking	look	VERB
ddj-78	262	8	the	the	DET
ddj-78	262	9	table	table	NOUN
ddj-78	262	10	1	1	NUM
ddj-78	262	11	for	for	ADP
ddj-78	262	12	the	the	DET
ddj-78	262	13	genetic	genetic	ADJ
ddj-78	262	14	code	code	NOUN
ddj-78	262	15	telling	tell	VERB
ddj-78	262	16	the	the	DET
ddj-78	262	17	number	number	NOUN
ddj-78	262	18	n(d	n(d	NOUN
ddj-78	262	19	)	)	PUNCT
ddj-78	262	20	of	of	ADP
ddj-78	262	21	amino	amino	NOUN
ddj-78	262	22	-	-	PUNCT
ddj-78	262	23	acids	acid	NOUN
ddj-78	262	24	coded	code	VERB
ddj-78	262	25	by	by	ADP
ddj-78	262	26	d	d	PROPN
ddj-78	262	27	dna	dna	PROPN
ddj-78	262	28	codons	codon	NOUN
ddj-78	262	29	.	.	PUNCT
ddj-78	263	1	one	one	NUM
ddj-78	263	2	finds	find	VERB
ddj-78	263	3	that	that	SCONJ
ddj-78	263	4	one	one	PRON
ddj-78	263	5	can	can	AUX
ddj-78	263	6	divide	divide	VERB
ddj-78	263	7	dnas	dna	NOUN
ddj-78	263	8	to	to	ADP
ddj-78	263	9	three	three	NUM
ddj-78	263	10	groups	group	NOUN
ddj-78	263	11	containing	contain	VERB
ddj-78	263	12	n	n	NOUN
ddj-78	263	13	=	=	NUM
ddj-78	263	14	20	20	NUM
ddj-78	263	15	,	,	PUNCT
ddj-78	263	16	n	n	NOUN
ddj-78	263	17	=	=	SYM
ddj-78	263	18	20	20	NUM
ddj-78	263	19	,	,	PUNCT
ddj-78	263	20	resp	resp	NOUN
ddj-78	263	21	.	.	PUNCT
ddj-78	264	1	n	n	NOUN
ddj-78	264	2	=	=	SYM
ddj-78	264	3	21	21	NUM
ddj-78	264	4	codons	codon	NOUN
ddj-78	264	5	.	.	PUNCT
ddj-78	265	1	(	(	PUNCT
ddj-78	265	2	a	a	X
ddj-78	265	3	)	)	PUNCT
ddj-78	265	4	there	there	PRON
ddj-78	265	5	are	be	VERB
ddj-78	265	6	3	3	NUM
ddj-78	265	7	amino	amino	NOUN
ddj-78	265	8	-	-	PUNCT
ddj-78	265	9	acids	acid	NOUN
ddj-78	265	10	codes	code	NOUN
ddj-78	265	11	by	by	ADP
ddj-78	265	12	6	6	NUM
ddj-78	265	13	codons	codon	NOUN
ddj-78	265	14	and	and	CCONJ
ddj-78	265	15	2	2	NUM
ddj-78	265	16	amino	amino	NOUN
ddj-78	265	17	-	-	PUNCT
ddj-78	265	18	acids	acid	NOUN
ddj-78	265	19	coded	code	VERB
ddj-78	265	20	by	by	ADP
ddj-78	265	21	1	1	NUM
ddj-78	265	22	dna	dna	NOUN
ddj-78	265	23	:	:	PUNCT
ddj-78	265	24	3×6	3×6	NUM
ddj-78	265	25	+	+	NOUN
ddj-78	265	26	2×1	2×1	NOUN
ddj-78	265	27	=	=	SYM
ddj-78	265	28	20	20	NUM
ddj-78	265	29	codons	codon	NOUN
ddj-78	265	30	altogether	altogether	ADV
ddj-78	265	31	.	.	PUNCT
ddj-78	266	1	note	note	VERB
ddj-78	266	2	:	:	PUNCT
ddj-78	266	3	one	one	PRON
ddj-78	266	4	could	could	AUX
ddj-78	266	5	also	also	ADV
ddj-78	266	6	consider	consider	VERB
ddj-78	266	7	1	1	NUM
ddj-78	266	8	amino	amino	NOUN
ddj-78	266	9	-	-	PUNCT
ddj-78	266	10	acid	acid	NOUN
ddj-78	266	11	coded	code	VERB
ddj-78	266	12	by	by	ADP
ddj-78	266	13	2	2	NUM
ddj-78	266	14	codons	codon	NOUN
ddj-78	266	15	instead	instead	ADV
ddj-78	266	16	of	of	ADP
ddj-78	266	17	2	2	NUM
ddj-78	266	18	coded	code	VERB
ddj-78	266	19	by	by	ADP
ddj-78	266	20	1	1	NUM
ddj-78	266	21	codon	codon	NOUN
ddj-78	266	22	3×	3×	NUM
ddj-78	266	23	6	6	NUM
ddj-78	266	24	+	+	SYM
ddj-78	266	25	1×	1×	NUM
ddj-78	266	26	2	2	NUM
ddj-78	266	27	=	=	SYM
ddj-78	266	28	20	20	NUM
ddj-78	266	29	.	.	PUNCT
ddj-78	267	1	(	(	PUNCT
ddj-78	267	2	b	b	X
ddj-78	267	3	)	)	PUNCT
ddj-78	267	4	there	there	PRON
ddj-78	267	5	are	be	VERB
ddj-78	267	6	5	5	NUM
ddj-78	267	7	amino	amino	NOUN
ddj-78	267	8	-	-	PUNCT
ddj-78	267	9	acids	acid	NOUN
ddj-78	267	10	coded	code	VERB
ddj-78	267	11	by	by	ADP
ddj-78	267	12	4	4	NUM
ddj-78	267	13	codons	codon	NOUN
ddj-78	267	14	making	make	VERB
ddj-78	267	15	5×	5×	NOUN
ddj-78	267	16	4	4	NUM
ddj-78	267	17	=	=	SYM
ddj-78	267	18	20	20	NUM
ddj-78	267	19	codons	codon	NOUN
ddj-78	267	20	altogether	altogether	ADV
ddj-78	267	21	.	.	PUNCT
ddj-78	268	1	(	(	PUNCT
ddj-78	268	2	c	c	X
ddj-78	268	3	)	)	PUNCT
ddj-78	268	4	there	there	PRON
ddj-78	268	5	are	be	VERB
ddj-78	268	6	9	9	NUM
ddj-78	268	7	amino	amino	NOUN
ddj-78	268	8	-	-	PUNCT
ddj-78	268	9	acids	acid	NOUN
ddj-78	268	10	coded	code	VERB
ddj-78	268	11	by	by	ADP
ddj-78	268	12	2	2	NUM
ddj-78	268	13	codons	codon	NOUN
ddj-78	268	14	and	and	CCONJ
ddj-78	268	15	1	1	NUM
ddj-78	268	16	by	by	ADP
ddj-78	268	17	3	3	NUM
ddj-78	268	18	codons	codon	NOUN
ddj-78	268	19	making	make	VERB
ddj-78	268	20	9	9	NUM
ddj-78	268	21	×	×	NOUN
ddj-78	268	22	2	2	NUM
ddj-78	268	23	+	+	CCONJ
ddj-78	268	24	1	1	NUM
ddj-78	268	25	×	×	NOUN
ddj-78	268	26	3	3	NUM
ddj-78	268	27	=	=	SYM
ddj-78	268	28	21	21	NUM
ddj-78	268	29	codons	codon	NOUN
ddj-78	268	30	.	.	PUNCT
ddj-78	269	1	note	note	NOUN
ddj-78	269	2	:	:	PUNCT
ddj-78	269	3	one	one	PRON
ddj-78	269	4	could	could	AUX
ddj-78	269	5	also	also	ADV
ddj-78	269	6	consider	consider	VERB
ddj-78	269	7	the	the	DET
ddj-78	269	8	decomposition	decomposition	NOUN
ddj-78	269	9	8×	8×	ADP
ddj-78	269	10	2	2	NUM
ddj-78	269	11	+	+	NUM
ddj-78	269	12	2×	2×	NUM
ddj-78	269	13	1	1	NUM
ddj-78	269	14	+	+	CCONJ
ddj-78	269	15	1×	1×	NUM
ddj-78	269	16	3	3	NUM
ddj-78	269	17	=	=	SYM
ddj-78	269	18	21	21	NUM
ddj-78	269	19	codons	codon	NOUN
ddj-78	269	20	implied	imply	VERB
ddj-78	269	21	if	if	SCONJ
ddj-78	269	22	1	1	NUM
ddj-78	269	23	amino	amino	NOUN
ddj-78	269	24	-	-	PUNCT
ddj-78	269	25	acid	acid	NOUN
ddj-78	269	26	is	be	AUX
ddj-78	269	27	coded	code	VERB
ddj-78	269	28	by	by	ADP
ddj-78	269	29	2	2	NUM
ddj-78	269	30	codons	codon	NOUN
ddj-78	269	31	in	in	ADP
ddj-78	269	32	the	the	DET
ddj-78	269	33	first	first	ADJ
ddj-78	269	34	group	group	NOUN
ddj-78	269	35	.	.	PUNCT
ddj-78	270	1	this	this	PRON
ddj-78	270	2	makes	make	VERB
ddj-78	270	3	61	61	NUM
ddj-78	270	4	codons	codon	NOUN
ddj-78	270	5	.	.	PUNCT
ddj-78	271	1	there	there	PRON
ddj-78	271	2	are	be	VERB
ddj-78	271	3	however	however	ADV
ddj-78	271	4	64	64	NUM
ddj-78	271	5	codons	codon	NOUN
ddj-78	271	6	and	and	CCONJ
ddj-78	271	7	3	3	NUM
ddj-78	271	8	codons	codon	NOUN
ddj-78	271	9	code	code	NOUN
ddj-78	271	10	for	for	ADP
ddj-78	271	11	stopping	stop	VERB
ddj-78	271	12	of	of	ADP
ddj-78	271	13	the	the	DET
ddj-78	271	14	translation	translation	NOUN
ddj-78	271	15	counted	count	VERB
ddj-78	271	16	as	as	ADP
ddj-78	271	17	”	"	PUNCT
ddj-78	271	18	empty	empty	ADJ
ddj-78	271	19	”	"	PUNCT
ddj-78	271	20	amino	amino	NOUN
ddj-78	271	21	-	-	PUNCT
ddj-78	271	22	acid	acid	NOUN
ddj-78	271	23	in	in	ADP
ddj-78	271	24	the	the	DET
ddj-78	271	25	table	table	NOUN
ddj-78	271	26	.	.	PUNCT
ddj-78	272	1	1	1	X
ddj-78	272	2	.	.	X
ddj-78	272	3	this	this	PRON
ddj-78	272	4	would	would	AUX
ddj-78	272	5	suggest	suggest	VERB
ddj-78	272	6	the	the	DET
ddj-78	272	7	division	division	NOUN
ddj-78	272	8	to	to	ADP
ddj-78	272	9	60	60	NUM
ddj-78	272	10	+	+	SYM
ddj-78	272	11	4	4	NUM
ddj-78	272	12	codons	codon	NOUN
ddj-78	272	13	.	.	PUNCT
ddj-78	273	1	the	the	DET
ddj-78	273	2	identification	identification	NOUN
ddj-78	273	3	of	of	ADP
ddj-78	273	4	additional	additional	ADJ
ddj-78	273	5	4	4	NUM
ddj-78	273	6	codons	codon	NOUN
ddj-78	273	7	and	and	CCONJ
ddj-78	273	8	corresponding	corresponding	ADJ
ddj-78	273	9	amino	amino	NOUN
ddj-78	273	10	-	-	PUNCT
ddj-78	273	11	acids	acid	NOUN
ddj-78	273	12	is	be	AUX
ddj-78	273	13	not	not	PART
ddj-78	273	14	so	so	ADV
ddj-78	273	15	straightforward	straightforward	ADJ
ddj-78	273	16	as	as	SCONJ
ddj-78	273	17	one	one	NUM
ddj-78	273	18	might	might	AUX
ddj-78	273	19	first	first	ADV
ddj-78	273	20	think	think	VERB
ddj-78	273	21	.	.	PUNCT
ddj-78	274	1	3	3	NUM
ddj-78	274	2	of	of	ADP
ddj-78	274	3	the	the	DET
ddj-78	274	4	4	4	NUM
ddj-78	274	5	additional	additional	ADJ
ddj-78	274	6	codons	codon	NOUN
ddj-78	274	7	could	could	AUX
ddj-78	274	8	code	code	VERB
ddj-78	274	9	for	for	ADP
ddj-78	274	10	”	"	PUNCT
ddj-78	274	11	empty	empty	ADJ
ddj-78	274	12	”	"	PUNCT
ddj-78	274	13	amino	amino	NOUN
ddj-78	274	14	-	-	PUNCT
ddj-78	274	15	acid	acid	NOUN
ddj-78	274	16	(	(	PUNCT
ddj-78	274	17	ile	ile	PROPN
ddj-78	274	18	)	)	PUNCT
ddj-78	274	19	and	and	CCONJ
ddj-78	274	20	1	1	NUM
ddj-78	274	21	of	of	ADP
ddj-78	274	22	them	they	PRON
ddj-78	274	23	to	to	ADP
ddj-78	274	24	ile	ile	PROPN
ddj-78	274	25	(	(	PUNCT
ddj-78	274	26	empty	empty	ADJ
ddj-78	274	27	amino	amino	NOUN
ddj-78	274	28	-	-	PUNCT
ddj-78	274	29	acid	acid	NOUN
ddj-78	274	30	)	)	PUNCT
ddj-78	274	31	.	.	PUNCT
ddj-78	275	1	2	2	X
ddj-78	275	2	.	.	X
ddj-78	275	3	what	what	PRON
ddj-78	275	4	suggests	suggest	VERB
ddj-78	275	5	itself	itself	PRON
ddj-78	275	6	strongly	strongly	ADV
ddj-78	275	7	is	be	AUX
ddj-78	275	8	a	a	DET
ddj-78	275	9	decomposition	decomposition	NOUN
ddj-78	275	10	of	of	ADP
ddj-78	275	11	codons	codon	NOUN
ddj-78	275	12	in	in	ADP
ddj-78	275	13	3	3	NUM
ddj-78	275	14	different	different	ADJ
ddj-78	275	15	manners	manner	NOUN
ddj-78	275	16	.	.	PUNCT
ddj-78	276	1	3	3	NUM
ddj-78	276	2	groups	group	NOUN
ddj-78	276	3	of	of	ADP
ddj-78	276	4	6	6	NUM
ddj-78	276	5	codons	codon	NOUN
ddj-78	276	6	plus	plus	CCONJ
ddj-78	276	7	2	2	NUM
ddj-78	276	8	groups	group	NOUN
ddj-78	276	9	of	of	ADP
ddj-78	276	10	1	1	NUM
ddj-78	276	11	codon	codon	NOUN
ddj-78	276	12	(	(	PUNCT
ddj-78	276	13	1	1	NUM
ddj-78	276	14	group	group	NOUN
ddj-78	276	15	of	of	ADP
ddj-78	276	16	2	2	NUM
ddj-78	276	17	codons	codon	NOUN
ddj-78	276	18	)	)	PUNCT
ddj-78	276	19	,	,	PUNCT
ddj-78	276	20	5	5	NUM
ddj-78	276	21	groups	group	NOUN
ddj-78	276	22	of	of	ADP
ddj-78	276	23	4	4	NUM
ddj-78	276	24	codons	codon	NOUN
ddj-78	276	25	,	,	PUNCT
ddj-78	276	26	and	and	CCONJ
ddj-78	276	27	10	10	NUM
ddj-78	276	28	groups	group	NOUN
ddj-78	276	29	of	of	ADP
ddj-78	276	30	2	2	NUM
ddj-78	276	31	codons	codon	NOUN
ddj-78	276	32	(	(	PUNCT
ddj-78	276	33	9	9	NUM
ddj-78	276	34	groups	group	NOUN
ddj-78	276	35	of	of	ADP
ddj-78	276	36	2	2	NUM
ddj-78	276	37	codons	codon	NOUN
ddj-78	276	38	plus	plus	CCONJ
ddj-78	276	39	plus	plus	CCONJ
ddj-78	276	40	2	2	NUM
ddj-78	276	41	groups	group	NOUN
ddj-78	276	42	of	of	ADP
ddj-78	276	43	1	1	NUM
ddj-78	276	44	codon	codon	NOUN
ddj-78	276	45	)	)	PUNCT
ddj-78	276	46	.	.	PUNCT
ddj-78	277	1	this	this	DET
ddj-78	277	2	kind	kind	NOUN
ddj-78	277	3	of	of	ADP
ddj-78	277	4	decompositions	decomposition	NOUN
ddj-78	277	5	are	be	AUX
ddj-78	277	6	induced	induce	VERB
ddj-78	277	7	by	by	ADP
ddj-78	277	8	the	the	DET
ddj-78	277	9	action	action	NOUN
ddj-78	277	10	on	on	ADP
ddj-78	277	11	the	the	DET
ddj-78	277	12	triangles	triangle	NOUN
ddj-78	277	13	of	of	ADP
ddj-78	277	14	icosahedron	icosahedron	X
ddj-78	277	15	by	by	ADP
ddj-78	277	16	thee	thee	NOUN
ddj-78	277	17	subgroups	subgroup	NOUN
ddj-78	277	18	of	of	ADP
ddj-78	277	19	the	the	DET
ddj-78	277	20	isometry	isometry	PROPN
ddj-78	277	21	group	group	NOUN
ddj-78	277	22	a5×z2	a5×z2	PROPN
ddj-78	277	23	of	of	ADP
ddj-78	277	24	the	the	DET
ddj-78	277	25	icosahedron	icosahedron	PROPN
ddj-78	277	26	having	have	VERB
ddj-78	277	27	120	120	NUM
ddj-78	277	28	=	=	SYM
ddj-78	277	29	2×2×2×2×3×5	2×2×2×2×3×5	NUM
ddj-78	277	30	elements	element	NOUN
ddj-78	277	31	and	and	CCONJ
ddj-78	277	32	subgroups	subgroup	NOUN
ddj-78	277	33	for	for	ADP
ddj-78	277	34	which	which	DET
ddj-78	277	35	number	number	NOUN
ddj-78	277	36	of	of	ADP
ddj-78	277	37	elements	element	NOUN
ddj-78	277	38	can	can	AUX
ddj-78	277	39	be	be	AUX
ddj-78	277	40	any	any	DET
ddj-78	277	41	divisor	divisor	NOUN
ddj-78	277	42	of	of	ADP
ddj-78	277	43	the	the	DET
ddj-78	277	44	order	order	NOUN
ddj-78	277	45	.	.	PUNCT
ddj-78	278	1	the	the	DET
ddj-78	278	2	orbit	orbit	NOUN
ddj-78	278	3	associated	associate	VERB
ddj-78	278	4	with	with	ADP
ddj-78	278	5	a	a	DET
ddj-78	278	6	subgroup	subgroup	NOUN
ddj-78	278	7	with	with	ADP
ddj-78	278	8	n	n	NOUN
ddj-78	278	9	elements	element	NOUN
ddj-78	278	10	has	have	VERB
ddj-78	278	11	at	at	ADP
ddj-78	278	12	most	most	ADJ
ddj-78	278	13	n	n	PRON
ddj-78	278	14	triangles	triangle	NOUN
ddj-78	278	15	at	at	ADP
ddj-78	278	16	its	its	PRON
ddj-78	278	17	orbit	orbit	NOUN
ddj-78	278	18	.	.	PUNCT
ddj-78	279	1	this	this	PRON
ddj-78	279	2	allows	allow	VERB
ddj-78	279	3	immediately	immediately	ADV
ddj-78	279	4	to	to	PART
ddj-78	279	5	deduce	deduce	VERB
ddj-78	279	6	the	the	DET
ddj-78	279	7	values	value	NOUN
ddj-78	279	8	of	of	ADP
ddj-78	279	9	n	n	PRON
ddj-78	279	10	possibly	possibly	ADV
ddj-78	279	11	explaining	explain	VERB
ddj-78	279	12	the	the	DET
ddj-78	279	13	genetic	genetic	ADJ
ddj-78	279	14	code	code	NOUN
ddj-78	279	15	in	in	ADP
ddj-78	279	16	the	the	DET
ddj-78	279	17	proposed	propose	VERB
ddj-78	279	18	manner	manner	NOUN
ddj-78	279	19	.	.	PUNCT
ddj-78	280	1	1	1	X
ddj-78	280	2	.	.	PUNCT
ddj-78	280	3	the	the	DET
ddj-78	280	4	3	3	NUM
ddj-78	280	5	amino	amino	NOUN
ddj-78	280	6	-	-	PUNCT
ddj-78	280	7	acids	acid	NOUN
ddj-78	280	8	coded	code	VERB
ddj-78	280	9	by	by	ADP
ddj-78	280	10	6	6	NUM
ddj-78	280	11	codons	codon	NOUN
ddj-78	280	12	must	must	AUX
ddj-78	280	13	correspond	correspond	VERB
ddj-78	280	14	to	to	ADP
ddj-78	280	15	n	n	PROPN
ddj-78	280	16	=	=	SYM
ddj-78	280	17	6	6	NUM
ddj-78	280	18	.	.	PUNCT
ddj-78	281	1	this	this	DET
ddj-78	281	2	subgroup	subgroup	NOUN
ddj-78	281	3	must	must	AUX
ddj-78	281	4	have	have	VERB
ddj-78	281	5	also	also	ADV
ddj-78	281	6	two	two	NUM
ddj-78	281	7	1	1	NUM
ddj-78	281	8	-	-	PUNCT
ddj-78	281	9	element	element	NOUN
ddj-78	281	10	orbits	orbit	NOUN
ddj-78	281	11	(	(	PUNCT
ddj-78	281	12	1	1	NUM
ddj-78	281	13	2	2	NUM
ddj-78	281	14	-	-	PUNCT
ddj-78	281	15	element	element	NOUN
ddj-78	281	16	orbit	orbit	NOUN
ddj-78	281	17	):	):	PUNCT
ddj-78	281	18	in	in	ADP
ddj-78	281	19	other	other	ADJ
ddj-78	281	20	words	word	NOUN
ddj-78	281	21	,	,	PUNCT
ddj-78	281	22	2	2	NUM
ddj-78	281	23	triangles	triangle	NOUN
ddj-78	281	24	must	must	AUX
ddj-78	281	25	be	be	AUX
ddj-78	281	26	its	its	PRON
ddj-78	281	27	fixed	fix	VERB
ddj-78	281	28	points	point	NOUN
ddj-78	281	29	(	(	PUNCT
ddj-78	281	30	form	form	VERB
ddj-78	281	31	its	its	PRON
ddj-78	281	32	orbit	orbit	NOUN
ddj-78	281	33	)	)	PUNCT
ddj-78	281	34	.	.	PUNCT
ddj-78	282	1	(	(	PUNCT
ddj-78	282	2	a	a	X
ddj-78	282	3	)	)	PUNCT
ddj-78	282	4	the	the	DET
ddj-78	282	5	non	non	ADJ
ddj-78	282	6	-	-	ADJ
ddj-78	282	7	abelian	abelian	ADJ
ddj-78	282	8	group	group	NOUN
ddj-78	282	9	s3	s3	PROPN
ddj-78	282	10	permuting	permute	VERB
ddj-78	282	11	the	the	DET
ddj-78	282	12	vertices	vertex	NOUN
ddj-78	282	13	of	of	ADP
ddj-78	282	14	is	be	AUX
ddj-78	282	15	the	the	DET
ddj-78	282	16	first	first	ADJ
ddj-78	282	17	candidate	candidate	NOUN
ddj-78	282	18	for	for	ADP
ddj-78	282	19	the	the	DET
ddj-78	282	20	subgroup	subgroup	NOUN
ddj-78	282	21	in	in	ADP
ddj-78	282	22	question	question	NOUN
ddj-78	282	23	.	.	PUNCT
ddj-78	283	1	the	the	DET
ddj-78	283	2	triangles	triangle	NOUN
ddj-78	283	3	at	at	ADP
ddj-78	283	4	the	the	DET
ddj-78	283	5	opposite	opposite	ADJ
ddj-78	283	6	sides	side	NOUN
ddj-78	283	7	of	of	ADP
ddj-78	283	8	the	the	DET
ddj-78	283	9	icosahedron	icosahedron	NUM
ddj-78	283	10	remain	remain	VERB
ddj-78	283	11	invariant	invariant	ADJ
ddj-78	283	12	under	under	ADP
ddj-78	283	13	these	these	DET
ddj-78	283	14	permutations	permutation	NOUN
ddj-78	283	15	.	.	PUNCT
ddj-78	284	1	s3	s3	PROPN
ddj-78	284	2	however	however	ADV
ddj-78	284	3	has	have	VERB
ddj-78	284	4	two	two	NUM
ddj-78	284	5	orbit	orbit	NOUN
ddj-78	284	6	consisting	consist	VERB
ddj-78	284	7	of	of	ADP
ddj-78	284	8	3	3	NUM
ddj-78	284	9	triangles	triangle	NOUN
ddj-78	284	10	which	which	PRON
ddj-78	284	11	are	be	AUX
ddj-78	284	12	”	"	PUNCT
ddj-78	284	13	wall	wall	NOUN
ddj-78	284	14	neighbours	neighbour	NOUN
ddj-78	284	15	”	"	PUNCT
ddj-78	284	16	of	of	ADP
ddj-78	284	17	the	the	DET
ddj-78	284	18	triangles	triangle	NOUN
ddj-78	284	19	which	which	PRON
ddj-78	284	20	remains	remain	VERB
ddj-78	284	21	fixed	fix	VERB
ddj-78	284	22	.	.	PUNCT
ddj-78	285	1	isbn	isbn	ADJ
ddj-78	285	2	:	:	PUNCT
ddj-78	285	3	2159	2159	NUM
ddj-78	285	4	-	-	PUNCT
ddj-78	285	5	046x	046x	NOUN
ddj-78	285	6	dna	dna	NOUN
ddj-78	285	7	decipher	decipher	PROPN
ddj-78	285	8	journal	journal	PROPN
ddj-78	285	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	285	10	published	publish	VERB
ddj-78	285	11	by	by	ADP
ddj-78	285	12	quantumdream	quantumdream	PROPN
ddj-78	285	13	,	,	PUNCT
ddj-78	285	14	inc	inc	PROPN
ddj-78	285	15	.	.	PROPN
ddj-78	285	16	dna	dna	PROPN
ddj-78	285	17	decipher	decipher	PROPN
ddj-78	285	18	journal	journal	PROPN
ddj-78	286	1	|	|	ADV
ddj-78	286	2	october	october	PROPN
ddj-78	286	3	2014	2014	NUM
ddj-78	286	4	|	|	ADV
ddj-78	286	5	volume	volume	NOUN
ddj-78	286	6	4	4	NUM
ddj-78	286	7	|	|	NOUN
ddj-78	286	8	issue	issue	VERB
ddj-78	286	9	2	2	NUM
ddj-78	286	10	|	|	CCONJ
ddj-78	286	11	pp	pp	ADJ
ddj-78	286	12	.	.	PUNCT
ddj-78	287	1	141	141	NUM
ddj-78	287	2	-	-	SYM
ddj-78	287	3	160	160	NUM
ddj-78	287	4	151	151	NUM
ddj-78	287	5	pitkänen	pitkänen	NOUN
ddj-78	287	6	,	,	PUNCT
ddj-78	287	7	m.	m.	NOUN
ddj-78	287	8	pythagoras	pythagoras	PROPN
ddj-78	287	9	,	,	PUNCT
ddj-78	287	10	music	music	NOUN
ddj-78	287	11	,	,	PUNCT
ddj-78	287	12	sacred	sacred	ADJ
ddj-78	287	13	geometry	geometry	NOUN
ddj-78	287	14	and	and	CCONJ
ddj-78	287	15	genetic	genetic	ADJ
ddj-78	287	16	code	code	NOUN
ddj-78	287	17	(	(	PUNCT
ddj-78	287	18	b	b	NOUN
ddj-78	287	19	)	)	PUNCT
ddj-78	287	20	second	second	ADJ
ddj-78	287	21	candidate	candidate	NOUN
ddj-78	287	22	is	be	AUX
ddj-78	287	23	the	the	DET
ddj-78	287	24	abelian	abelian	ADJ
ddj-78	287	25	group	group	NOUN
ddj-78	288	1	z̃2	z̃2	CCONJ
ddj-78	288	2	×	×	PROPN
ddj-78	288	3	z3	z3	PROPN
ddj-78	288	4	.	.	PUNCT
ddj-78	289	1	here	here	ADV
ddj-78	289	2	z3	z3	PROPN
ddj-78	289	3	permutes	permute	VERB
ddj-78	289	4	the	the	DET
ddj-78	289	5	vertices	vertex	NOUN
ddj-78	289	6	of	of	ADP
ddj-78	289	7	triangle	triangle	NOUN
ddj-78	289	8	and	and	CCONJ
ddj-78	289	9	z̃2	z̃2	PRON
ddj-78	289	10	is	be	AUX
ddj-78	289	11	generated	generate	VERB
ddj-78	289	12	by	by	ADP
ddj-78	289	13	a	a	DET
ddj-78	289	14	reflection	reflection	NOUN
ddj-78	289	15	of	of	ADP
ddj-78	289	16	the	the	DET
ddj-78	289	17	triangle	triangle	NOUN
ddj-78	289	18	to	to	ADP
ddj-78	289	19	opposite	opposite	ADJ
ddj-78	289	20	side	side	NOUN
ddj-78	289	21	of	of	ADP
ddj-78	289	22	icosahedron	icosahedron	NUM
ddj-78	289	23	followed	follow	VERB
ddj-78	289	24	by	by	ADP
ddj-78	289	25	a	a	DET
ddj-78	289	26	rotation	rotation	NOUN
ddj-78	289	27	by	by	ADP
ddj-78	289	28	π	π	PROPN
ddj-78	289	29	.	.	PUNCT
ddj-78	290	1	this	this	DET
ddj-78	290	2	group	group	NOUN
ddj-78	290	3	has	have	VERB
ddj-78	290	4	3	3	NUM
ddj-78	290	5	orbits	orbit	NOUN
ddj-78	290	6	consisting	consist	VERB
ddj-78	290	7	of	of	ADP
ddj-78	290	8	6	6	NUM
ddj-78	290	9	triangles	triangle	NOUN
ddj-78	290	10	and	and	CCONJ
ddj-78	290	11	1	1	NUM
ddj-78	290	12	orbit	orbit	NOUN
ddj-78	290	13	consisting	consist	VERB
ddj-78	290	14	of	of	ADP
ddj-78	290	15	2	2	NUM
ddj-78	290	16	triangles	triangle	NOUN
ddj-78	290	17	(	(	PUNCT
ddj-78	290	18	the	the	DET
ddj-78	290	19	triangles	triangle	NOUN
ddj-78	290	20	at	at	ADP
ddj-78	290	21	opposite	opposite	ADJ
ddj-78	290	22	side	side	NOUN
ddj-78	290	23	of	of	ADP
ddj-78	290	24	icosahedron	icosahedron	NOUN
ddj-78	290	25	)	)	PUNCT
ddj-78	290	26	.	.	PUNCT
ddj-78	291	1	this	this	DET
ddj-78	291	2	group	group	NOUN
ddj-78	291	3	seems	seem	VERB
ddj-78	291	4	to	to	PART
ddj-78	291	5	be	be	AUX
ddj-78	291	6	the	the	DET
ddj-78	291	7	only	only	ADV
ddj-78	291	8	working	work	VERB
ddj-78	291	9	candidate	candidate	NOUN
ddj-78	291	10	for	for	ADP
ddj-78	291	11	the	the	DET
ddj-78	291	12	subgroup	subgroup	NOUN
ddj-78	291	13	in	in	ADP
ddj-78	291	14	question	question	NOUN
ddj-78	291	15	.	.	PUNCT
ddj-78	292	1	2	2	X
ddj-78	292	2	.	.	X
ddj-78	292	3	the	the	DET
ddj-78	292	4	5	5	NUM
ddj-78	292	5	amino	amino	NOUN
ddj-78	292	6	-	-	PUNCT
ddj-78	292	7	acids	acid	NOUN
ddj-78	292	8	coded	code	VERB
ddj-78	292	9	by	by	ADP
ddj-78	292	10	4	4	NUM
ddj-78	292	11	codons	codon	NOUN
ddj-78	292	12	must	must	AUX
ddj-78	292	13	correspond	correspond	VERB
ddj-78	292	14	to	to	ADP
ddj-78	292	15	n	n	PROPN
ddj-78	292	16	=	=	SYM
ddj-78	292	17	4	4	NUM
ddj-78	292	18	and	and	CCONJ
ddj-78	292	19	therefore	therefore	ADV
ddj-78	292	20	to	to	ADP
ddj-78	292	21	z̃2	z̃2	PROPN
ddj-78	292	22	×	×	PROPN
ddj-78	292	23	z2	z2	PROPN
ddj-78	292	24	.	.	PUNCT
ddj-78	293	1	this	this	PRON
ddj-78	293	2	is	be	AUX
ddj-78	293	3	indeed	indeed	ADV
ddj-78	293	4	subgroup	subgroup	NOUN
ddj-78	293	5	of	of	ADP
ddj-78	293	6	icosahedral	icosahedral	ADJ
ddj-78	293	7	group	group	NOUN
ddj-78	293	8	which	which	PRON
ddj-78	293	9	permutes	permute	VERB
ddj-78	293	10	triangles	triangle	NOUN
ddj-78	293	11	at	at	ADP
ddj-78	293	12	the	the	DET
ddj-78	293	13	vertices	vertex	NOUN
ddj-78	293	14	of	of	ADP
ddj-78	293	15	inscribed	inscribe	VERB
ddj-78	293	16	tetrahedron	tetrahedron	NOUN
ddj-78	293	17	.	.	PUNCT
ddj-78	294	1	now	now	ADV
ddj-78	294	2	all	all	DET
ddj-78	294	3	orbits	orbit	NOUN
ddj-78	294	4	contain	contain	VERB
ddj-78	294	5	4	4	NUM
ddj-78	294	6	triangles	triangle	NOUN
ddj-78	294	7	and	and	CCONJ
ddj-78	294	8	one	one	PRON
ddj-78	294	9	must	must	AUX
ddj-78	294	10	have	have	VERB
ddj-78	294	11	5	5	NUM
ddj-78	294	12	orbits	orbit	NOUN
ddj-78	294	13	,	,	PUNCT
ddj-78	294	14	which	which	PRON
ddj-78	294	15	are	be	AUX
ddj-78	294	16	obtained	obtain	VERB
ddj-78	294	17	by	by	ADP
ddj-78	294	18	acting	act	VERB
ddj-78	294	19	on	on	ADP
ddj-78	294	20	the	the	DET
ddj-78	294	21	5	5	NUM
ddj-78	294	22	triangles	triangle	NOUN
ddj-78	294	23	emanating	emanate	VERB
ddj-78	294	24	from	from	ADP
ddj-78	294	25	a	a	DET
ddj-78	294	26	given	give	VERB
ddj-78	294	27	vertex	vertex	NOUN
ddj-78	294	28	.	.	PUNCT
ddj-78	295	1	note	note	VERB
ddj-78	295	2	that	that	SCONJ
ddj-78	295	3	also	also	ADV
ddj-78	295	4	z5	z5	PROPN
ddj-78	295	5	is	be	AUX
ddj-78	295	6	subgroup	subgroup	NOUN
ddj-78	295	7	of	of	ADP
ddj-78	295	8	icosahedral	icosahedral	ADJ
ddj-78	295	9	group	group	NOUN
ddj-78	295	10	:	:	PUNCT
ddj-78	295	11	this	this	PRON
ddj-78	295	12	would	would	AUX
ddj-78	295	13	give	give	VERB
ddj-78	295	14	a	a	DET
ddj-78	295	15	variant	variant	NOUN
ddj-78	295	16	of	of	ADP
ddj-78	295	17	code	code	NOUN
ddj-78	295	18	with	with	ADP
ddj-78	295	19	4	4	NUM
ddj-78	295	20	amino	amino	NOUN
ddj-78	295	21	-	-	PUNCT
ddj-78	295	22	acids	acid	NOUN
ddj-78	295	23	coded	code	VERB
ddj-78	295	24	by	by	ADP
ddj-78	295	25	5	5	NUM
ddj-78	295	26	codons	codon	NOUN
ddj-78	295	27	if	if	SCONJ
ddj-78	295	28	it	it	PRON
ddj-78	295	29	were	be	AUX
ddj-78	295	30	possible	possible	ADJ
ddj-78	295	31	to	to	PART
ddj-78	295	32	satisfy	satisfy	VERB
ddj-78	295	33	additional	additional	ADJ
ddj-78	295	34	consistency	consistency	NOUN
ddj-78	295	35	conditions	condition	NOUN
ddj-78	295	36	.	.	PUNCT
ddj-78	296	1	3	3	X
ddj-78	296	2	.	.	X
ddj-78	296	3	consider	consider	VERB
ddj-78	296	4	next	next	ADJ
ddj-78	296	5	the	the	DET
ddj-78	296	6	group	group	NOUN
ddj-78	296	7	consisting	consist	VERB
ddj-78	296	8	of	of	ADP
ddj-78	296	9	9	9	NUM
ddj-78	296	10	amino	amino	NOUN
ddj-78	296	11	-	-	PUNCT
ddj-78	296	12	acids	acid	NOUN
ddj-78	296	13	coded	code	VERB
ddj-78	296	14	by	by	ADP
ddj-78	296	15	2	2	NUM
ddj-78	296	16	codons	codon	NOUN
ddj-78	296	17	and	and	CCONJ
ddj-78	296	18	ile	ile	PROPN
ddj-78	296	19	(	(	PUNCT
ddj-78	296	20	”	"	PUNCT
ddj-78	296	21	empty	empty	ADJ
ddj-78	296	22	”	"	PUNCT
ddj-78	296	23	aminoacid	aminoacid	NOUN
ddj-78	296	24	)	)	PUNCT
ddj-78	296	25	coded	code	VERB
ddj-78	296	26	by	by	ADP
ddj-78	296	27	3	3	NUM
ddj-78	296	28	codons	codon	NOUN
ddj-78	296	29	.	.	PUNCT
ddj-78	297	1	since	since	SCONJ
ddj-78	297	2	only	only	ADV
ddj-78	297	3	the	the	DET
ddj-78	297	4	z̃2×z3	z̃2×z3	NOUN
ddj-78	297	5	option	option	NOUN
ddj-78	297	6	works	work	NOUN
ddj-78	297	7	,	,	PUNCT
ddj-78	297	8	this	this	PRON
ddj-78	297	9	leaves	leave	VERB
ddj-78	297	10	9	9	NUM
ddj-78	297	11	amino	amino	NOUN
ddj-78	297	12	-	-	PUNCT
ddj-78	297	13	acids	acid	NOUN
ddj-78	297	14	coded	code	VERB
ddj-78	297	15	by	by	ADP
ddj-78	297	16	2	2	NUM
ddj-78	297	17	codons	codon	NOUN
ddj-78	297	18	and	and	CCONJ
ddj-78	297	19	2	2	NUM
ddj-78	297	20	amino	amino	NOUN
ddj-78	297	21	-	-	PUNCT
ddj-78	297	22	acids	acid	NOUN
ddj-78	297	23	coded	code	VERB
ddj-78	297	24	by	by	ADP
ddj-78	297	25	1	1	NUM
ddj-78	297	26	codon	codon	NOUN
ddj-78	297	27	.	.	PUNCT
ddj-78	298	1	the	the	DET
ddj-78	298	2	subgroup	subgroup	NOUN
ddj-78	298	3	must	must	AUX
ddj-78	298	4	correspond	correspond	VERB
ddj-78	298	5	to	to	ADP
ddj-78	298	6	n	n	PROPN
ddj-78	298	7	=	=	SYM
ddj-78	298	8	2	2	NUM
ddj-78	298	9	and	and	CCONJ
ddj-78	298	10	thus	thus	ADV
ddj-78	298	11	z2	z2	PROPN
ddj-78	298	12	acting	act	VERB
ddj-78	298	13	on	on	ADP
ddj-78	298	14	fixed	fix	VERB
ddj-78	298	15	triangle	triangle	NOUN
ddj-78	298	16	and	and	CCONJ
ddj-78	298	17	leaving	leave	VERB
ddj-78	298	18	it	it	PRON
ddj-78	298	19	and	and	CCONJ
ddj-78	298	20	its	its	PRON
ddj-78	298	21	z̃2	z̃2	PROPN
ddj-78	298	22	image	image	NOUN
ddj-78	298	23	invariant	invariant	ADJ
ddj-78	298	24	.	.	PUNCT
ddj-78	299	1	one	one	NUM
ddj-78	299	2	has	have	VERB
ddj-78	299	3	9	9	NUM
ddj-78	299	4	2	2	NUM
ddj-78	299	5	-	-	PUNCT
ddj-78	299	6	triangle	triangle	NOUN
ddj-78	299	7	orbits	orbit	NOUN
ddj-78	299	8	and	and	CCONJ
ddj-78	299	9	two	two	NUM
ddj-78	299	10	single	single	ADJ
ddj-78	299	11	triangle	triangle	NOUN
ddj-78	299	12	orbits	orbit	NOUN
ddj-78	299	13	corresponding	correspond	VERB
ddj-78	299	14	to	to	ADP
ddj-78	299	15	the	the	DET
ddj-78	299	16	triangles	triangle	NOUN
ddj-78	299	17	at	at	ADP
ddj-78	299	18	the	the	DET
ddj-78	299	19	opposite	opposite	ADJ
ddj-78	299	20	sides	side	NOUN
ddj-78	299	21	of	of	ADP
ddj-78	299	22	the	the	DET
ddj-78	299	23	icosahedron	icosahedron	NOUN
ddj-78	299	24	.	.	PUNCT
ddj-78	300	1	the	the	DET
ddj-78	300	2	9	9	NUM
ddj-78	300	3	amino	amino	NOUN
ddj-78	300	4	-	-	PUNCT
ddj-78	300	5	acids	acid	NOUN
ddj-78	300	6	coded	code	VERB
ddj-78	300	7	by	by	ADP
ddj-78	300	8	2	2	NUM
ddj-78	300	9	codons	codon	NOUN
ddj-78	300	10	are	be	AUX
ddj-78	300	11	all	all	ADV
ddj-78	300	12	real	real	ADJ
ddj-78	300	13	or	or	CCONJ
ddj-78	300	14	8	8	NUM
ddj-78	300	15	of	of	ADP
ddj-78	300	16	them	they	PRON
ddj-78	300	17	are	be	AUX
ddj-78	300	18	real	real	ADJ
ddj-78	300	19	and	and	CCONJ
ddj-78	301	1	1	1	NUM
ddj-78	301	2	corresponds	correspond	NOUN
ddj-78	301	3	to	to	ADP
ddj-78	301	4	”	"	PUNCT
ddj-78	301	5	empty	empty	ADJ
ddj-78	301	6	amino	amino	NOUN
ddj-78	301	7	-	-	PUNCT
ddj-78	301	8	acid	acid	NOUN
ddj-78	301	9	”	"	PUNCT
ddj-78	301	10	coded	code	VERB
ddj-78	301	11	by	by	ADP
ddj-78	301	12	two	two	NUM
ddj-78	301	13	codons	codon	NOUN
ddj-78	301	14	.	.	PUNCT
ddj-78	302	1	3	3	NUM
ddj-78	302	2	-	-	PUNCT
ddj-78	302	3	element	element	NOUN
ddj-78	302	4	orbits	orbit	NOUN
ddj-78	302	5	are	be	AUX
ddj-78	302	6	lacking	lack	VERB
ddj-78	302	7	and	and	CCONJ
ddj-78	302	8	this	this	DET
ddj-78	302	9	forces	force	NOUN
ddj-78	302	10	to	to	PART
ddj-78	302	11	consider	consider	VERB
ddj-78	302	12	a	a	DET
ddj-78	302	13	fusion	fusion	NOUN
ddj-78	302	14	of	of	ADP
ddj-78	302	15	of	of	ADP
ddj-78	302	16	icosahedral	icosahedral	ADJ
ddj-78	302	17	code	code	NOUN
ddj-78	302	18	with	with	ADP
ddj-78	302	19	tetrahedral	tetrahedral	ADJ
ddj-78	302	20	code	code	NOUN
ddj-78	302	21	having	have	VERB
ddj-78	302	22	common	common	ADJ
ddj-78	302	23	”	"	PUNCT
ddj-78	302	24	empty	empty	ADJ
ddj-78	302	25	-	-	PUNCT
ddj-78	302	26	acid	acid	ADJ
ddj-78	302	27	”	"	PUNCT
ddj-78	302	28	common	common	ADJ
ddj-78	302	29	triangle	triangle	NOUN
ddj-78	302	30	of	of	ADP
ddj-78	302	31	icosahedron	icosahedron	PROPN
ddj-78	302	32	and	and	CCONJ
ddj-78	302	33	tetrahedron	tetrahedron	NOUN
ddj-78	302	34	)	)	PUNCT
ddj-78	302	35	coded	code	VERB
ddj-78	302	36	by	by	ADP
ddj-78	302	37	2	2	NUM
ddj-78	302	38	icosahedral	icosahedral	ADJ
ddj-78	302	39	codons	codon	NOUN
ddj-78	302	40	and	and	CCONJ
ddj-78	302	41	1	1	NUM
ddj-78	302	42	tetrahedral	tetrahedral	ADJ
ddj-78	302	43	codon	codon	NOUN
ddj-78	302	44	.	.	PUNCT
ddj-78	303	1	ile	ile	PROPN
ddj-78	303	2	would	would	AUX
ddj-78	303	3	be	be	AUX
ddj-78	303	4	coded	code	VERB
ddj-78	303	5	by	by	ADP
ddj-78	303	6	3	3	NUM
ddj-78	303	7	codons	codon	NOUN
ddj-78	303	8	assignable	assignable	ADJ
ddj-78	303	9	to	to	ADP
ddj-78	303	10	the	the	DET
ddj-78	303	11	orbit	orbit	NOUN
ddj-78	303	12	of	of	ADP
ddj-78	303	13	z3	z3	PROPN
ddj-78	303	14	subgroup	subgroup	PROPN
ddj-78	303	15	of	of	ADP
ddj-78	303	16	tetrahedral	tetrahedral	PROPN
ddj-78	303	17	symmetry	symmetry	NOUN
ddj-78	303	18	group	group	NOUN
ddj-78	303	19	s3	s3	PROPN
ddj-78	303	20	and	and	CCONJ
ddj-78	303	21	would	would	AUX
ddj-78	303	22	be	be	AUX
ddj-78	303	23	associated	associate	VERB
ddj-78	303	24	with	with	ADP
ddj-78	303	25	the	the	DET
ddj-78	303	26	tetrahedron	tetrahedron	NOUN
ddj-78	303	27	.	.	PUNCT
ddj-78	304	1	this	this	PRON
ddj-78	304	2	would	would	AUX
ddj-78	304	3	predict	predict	VERB
ddj-78	304	4	2	2	NUM
ddj-78	304	5	additional	additional	ADJ
ddj-78	304	6	amino	amino	NOUN
ddj-78	304	7	-	-	PUNCT
ddj-78	304	8	acids	acid	NOUN
ddj-78	304	9	which	which	PRON
ddj-78	304	10	could	could	AUX
ddj-78	304	11	be	be	AUX
ddj-78	304	12	understood	understand	VERB
ddj-78	304	13	by	by	ADP
ddj-78	304	14	taking	take	VERB
ddj-78	304	15	into	into	ADP
ddj-78	304	16	account	account	NOUN
ddj-78	304	17	21st	21st	ADJ
ddj-78	304	18	and	and	CCONJ
ddj-78	304	19	22nd	22nd	NOUN
ddj-78	304	20	amino	amino	NOUN
ddj-78	304	21	-	-	PUNCT
ddj-78	304	22	acid	acid	NOUN
ddj-78	304	23	(	(	PUNCT
ddj-78	304	24	sec	sec	PROPN
ddj-78	304	25	and	and	CCONJ
ddj-78	304	26	pyl	pyl	PROPN
ddj-78	305	1	[	[	X
ddj-78	305	2	4	4	NUM
ddj-78	305	3	]	]	NUM
ddj-78	305	4	)	)	PUNCT
ddj-78	305	5	.	.	PUNCT
ddj-78	306	1	the	the	DET
ddj-78	306	2	hamiltonian	hamiltonian	ADJ
ddj-78	306	3	cycle	cycle	NOUN
ddj-78	306	4	is	be	AUX
ddj-78	306	5	not	not	PART
ddj-78	306	6	explicitly	explicitly	ADV
ddj-78	306	7	involved	involve	VERB
ddj-78	306	8	with	with	ADP
ddj-78	306	9	the	the	DET
ddj-78	306	10	proposed	propose	VERB
ddj-78	306	11	argument	argument	NOUN
ddj-78	306	12	.	.	PUNCT
ddj-78	307	1	some	some	DET
ddj-78	307	2	property	property	NOUN
ddj-78	307	3	of	of	ADP
ddj-78	307	4	the	the	DET
ddj-78	307	5	cycle	cycle	NOUN
ddj-78	307	6	respected	respect	VERB
ddj-78	307	7	by	by	ADP
ddj-78	307	8	the	the	DET
ddj-78	307	9	allowed	allow	VERB
ddj-78	307	10	isometries	isometry	NOUN
ddj-78	307	11	might	might	AUX
ddj-78	307	12	bring	bring	VERB
ddj-78	307	13	in	in	ADP
ddj-78	307	14	this	this	DET
ddj-78	307	15	dependence	dependence	NOUN
ddj-78	307	16	.	.	PUNCT
ddj-78	308	1	in	in	ADP
ddj-78	308	2	pythagorean	pythagorean	PROPN
ddj-78	308	3	spirit	spirit	PROPN
ddj-78	308	4	one	one	PRON
ddj-78	308	5	might	might	AUX
ddj-78	308	6	ask	ask	VERB
ddj-78	308	7	whether	whether	SCONJ
ddj-78	308	8	the	the	DET
ddj-78	308	9	allowed	allow	VERB
ddj-78	308	10	isometries	isometry	NOUN
ddj-78	308	11	could	could	AUX
ddj-78	308	12	leave	leave	VERB
ddj-78	308	13	the	the	DET
ddj-78	308	14	hamiltonian	hamiltonian	ADJ
ddj-78	308	15	cycle	cycle	NOUN
ddj-78	308	16	invariant	invariant	ADJ
ddj-78	308	17	but	but	CCONJ
ddj-78	308	18	move	move	VERB
ddj-78	308	19	the	the	DET
ddj-78	308	20	vertices	vertex	NOUN
ddj-78	308	21	along	along	ADP
ddj-78	308	22	it	it	PRON
ddj-78	308	23	and	and	CCONJ
ddj-78	308	24	induce	induce	VERB
ddj-78	308	25	a	a	DET
ddj-78	308	26	mapping	mapping	NOUN
ddj-78	308	27	of	of	ADP
ddj-78	308	28	faces	face	NOUN
ddj-78	308	29	to	to	ADP
ddj-78	308	30	each	each	DET
ddj-78	308	31	other	other	ADJ
ddj-78	308	32	.	.	PUNCT
ddj-78	309	1	the	the	DET
ddj-78	309	2	amino	amino	NOUN
ddj-78	309	3	-	-	PUNCT
ddj-78	309	4	acid	acid	NOUN
ddj-78	309	5	triangle	triangle	NOUN
ddj-78	309	6	at	at	ADP
ddj-78	309	7	given	give	VERB
ddj-78	309	8	orbit	orbit	NOUN
ddj-78	309	9	can	can	AUX
ddj-78	309	10	not	not	PART
ddj-78	309	11	be	be	AUX
ddj-78	309	12	chosen	choose	VERB
ddj-78	309	13	freely	freely	ADV
ddj-78	309	14	.	.	PUNCT
ddj-78	310	1	the	the	DET
ddj-78	310	2	choices	choice	NOUN
ddj-78	310	3	of	of	ADP
ddj-78	310	4	amino	amino	NOUN
ddj-78	310	5	-	-	PUNCT
ddj-78	310	6	acid	acid	NOUN
ddj-78	310	7	triangles	triangle	NOUN
ddj-78	310	8	associated	associate	VERB
ddj-78	310	9	with	with	ADP
ddj-78	310	10	the	the	DET
ddj-78	310	11	three	three	NUM
ddj-78	310	12	groups	group	NOUN
ddj-78	310	13	of	of	ADP
ddj-78	310	14	20	20	NUM
ddj-78	310	15	dnas	dna	NOUN
ddj-78	310	16	must	must	AUX
ddj-78	310	17	be	be	AUX
ddj-78	310	18	different	different	ADJ
ddj-78	310	19	and	and	CCONJ
ddj-78	310	20	this	this	PRON
ddj-78	310	21	gives	give	VERB
ddj-78	310	22	geometric	geometric	ADJ
ddj-78	310	23	conditions	condition	NOUN
ddj-78	310	24	for	for	ADP
ddj-78	310	25	the	the	DET
ddj-78	310	26	choices	choice	NOUN
ddj-78	310	27	of	of	ADP
ddj-78	310	28	the	the	DET
ddj-78	310	29	three	three	NUM
ddj-78	310	30	subgroups	subgroup	NOUN
ddj-78	310	31	and	and	CCONJ
ddj-78	310	32	one	one	PRON
ddj-78	310	33	can	can	AUX
ddj-78	310	34	hope	hope	VERB
ddj-78	310	35	that	that	SCONJ
ddj-78	310	36	the	the	DET
ddj-78	310	37	assignment	assignment	NOUN
ddj-78	310	38	of	of	ADP
ddj-78	310	39	amino	amino	NOUN
ddj-78	310	40	-	-	PUNCT
ddj-78	310	41	acid	acid	NOUN
ddj-78	310	42	toa	toa	NOUN
ddj-78	310	43	given	give	VERB
ddj-78	310	44	triangle	triangle	NOUN
ddj-78	310	45	is	be	AUX
ddj-78	310	46	fixed	fix	VERB
ddj-78	310	47	about	about	ADP
ddj-78	310	48	from	from	ADP
ddj-78	310	49	rotational	rotational	ADJ
ddj-78	310	50	symmetries	symmetry	NOUN
ddj-78	310	51	.	.	PUNCT
ddj-78	311	1	3.2.1	3.2.1	NUM
ddj-78	311	2	does	do	VERB
ddj-78	311	3	the	the	DET
ddj-78	311	4	understanding	understanding	NOUN
ddj-78	311	5	of	of	ADP
ddj-78	311	6	stopping	stop	VERB
ddj-78	311	7	codons	codon	NOUN
ddj-78	311	8	and	and	CCONJ
ddj-78	311	9	21st	21st	ADJ
ddj-78	311	10	and	and	CCONJ
ddj-78	311	11	22nd	22nd	NOUN
ddj-78	311	12	amino	amino	ADJ
ddj-78	311	13	-	-	PUNCT
ddj-78	311	14	acids	acid	NOUN
ddj-78	311	15	require	require	VERB
ddj-78	311	16	fusion	fusion	NOUN
ddj-78	311	17	of	of	ADP
ddj-78	311	18	tetrahedral	tetrahedral	ADJ
ddj-78	311	19	and	and	CCONJ
ddj-78	311	20	icosahedral	icosahedral	ADJ
ddj-78	311	21	codes	code	NOUN
ddj-78	311	22	?	?	PUNCT
ddj-78	312	1	several	several	ADJ
ddj-78	312	2	questions	question	NOUN
ddj-78	312	3	remain	remain	VERB
ddj-78	312	4	.	.	PUNCT
ddj-78	313	1	could	could	AUX
ddj-78	313	2	one	one	PRON
ddj-78	313	3	also	also	ADV
ddj-78	313	4	understand	understand	VERB
ddj-78	313	5	the	the	DET
ddj-78	313	6	additional	additional	ADJ
ddj-78	313	7	4	4	NUM
ddj-78	313	8	dna	dna	NOUN
ddj-78	313	9	codons	codon	NOUN
ddj-78	313	10	?	?	PUNCT
ddj-78	314	1	could	could	AUX
ddj-78	314	2	one	one	PRON
ddj-78	314	3	understand	understand	VERB
ddj-78	314	4	also	also	ADV
ddj-78	314	5	how	how	SCONJ
ddj-78	314	6	one	one	NUM
ddj-78	314	7	of	of	ADP
ddj-78	314	8	them	they	PRON
ddj-78	314	9	codes	code	VERB
ddj-78	314	10	amino	amino	NOUN
ddj-78	314	11	-	-	PUNCT
ddj-78	314	12	acid	acid	NOUN
ddj-78	314	13	(	(	PUNCT
ddj-78	314	14	ile	ile	PROPN
ddj-78	314	15	)	)	PUNCT
ddj-78	314	16	instead	instead	ADV
ddj-78	314	17	of	of	ADP
ddj-78	314	18	stopping	stop	VERB
ddj-78	314	19	codon	codon	NOUN
ddj-78	314	20	?	?	PUNCT
ddj-78	315	1	can	can	AUX
ddj-78	315	2	one	one	NUM
ddj-78	315	3	related	relate	VERB
ddj-78	315	4	additional	additional	ADJ
ddj-78	315	5	codons	codon	NOUN
ddj-78	315	6	to	to	ADP
ddj-78	315	7	music	music	NOUN
ddj-78	315	8	?	?	PUNCT
ddj-78	316	1	3.2.2	3.2.2	NUM
ddj-78	316	2	attachment	attachment	NOUN
ddj-78	316	3	of	of	ADP
ddj-78	316	4	tetrahedron	tetrahedron	NOUN
ddj-78	316	5	to	to	PART
ddj-78	316	6	icosahedron	icosahedron	VERB
ddj-78	316	7	as	as	ADP
ddj-78	316	8	extension	extension	NOUN
ddj-78	316	9	of	of	ADP
ddj-78	316	10	isosahedral	isosahedral	ADJ
ddj-78	316	11	code	code	NOUN
ddj-78	316	12	the	the	DET
ddj-78	316	13	attachment	attachment	NOUN
ddj-78	316	14	of	of	ADP
ddj-78	316	15	tetrahedron	tetrahedron	NOUN
ddj-78	316	16	to	to	ADP
ddj-78	316	17	icosahedron	icosahedron	PROPN
ddj-78	316	18	allows	allow	VERB
ddj-78	316	19	to	to	ADP
ddj-78	316	20	understanding	understand	VERB
ddj-78	316	21	both	both	DET
ddj-78	316	22	stopping	stop	VERB
ddj-78	316	23	codons	codon	NOUN
ddj-78	316	24	and	and	CCONJ
ddj-78	316	25	”	"	PUNCT
ddj-78	316	26	empty	empty	ADJ
ddj-78	316	27	”	"	PUNCT
ddj-78	316	28	amino	amino	NOUN
ddj-78	316	29	-	-	PUNCT
ddj-78	316	30	acid	acid	NOUN
ddj-78	316	31	as	as	ADV
ddj-78	316	32	well	well	ADV
ddj-78	316	33	as	as	ADP
ddj-78	316	34	the	the	DET
ddj-78	316	35	21th	21th	ADJ
ddj-78	316	36	and	and	CCONJ
ddj-78	316	37	22nd	22nd	ADJ
ddj-78	316	38	amino	amino	NOUN
ddj-78	316	39	-	-	PUNCT
ddj-78	316	40	acids	acid	NOUN
ddj-78	316	41	geometrically	geometrically	ADV
ddj-78	316	42	.	.	PUNCT
ddj-78	317	1	1	1	X
ddj-78	317	2	.	.	X
ddj-78	317	3	something	something	PRON
ddj-78	317	4	is	be	AUX
ddj-78	317	5	clearly	clearly	ADV
ddj-78	317	6	added	add	VERB
ddj-78	317	7	to	to	ADP
ddj-78	317	8	the	the	DET
ddj-78	317	9	geometric	geometric	ADJ
ddj-78	317	10	structure	structure	NOUN
ddj-78	317	11	,	,	PUNCT
ddj-78	317	12	when	when	SCONJ
ddj-78	317	13	4	4	NUM
ddj-78	317	14	additional	additional	ADJ
ddj-78	317	15	dna	dna	NOUN
ddj-78	317	16	codons	codon	NOUN
ddj-78	317	17	are	be	AUX
ddj-78	317	18	brought	bring	VERB
ddj-78	317	19	in	in	ADP
ddj-78	317	20	.	.	PUNCT
ddj-78	318	1	they	they	PRON
ddj-78	318	2	could	could	AUX
ddj-78	318	3	represent	represent	VERB
ddj-78	318	4	orbits	orbit	NOUN
ddj-78	318	5	of	of	ADP
ddj-78	318	6	faces	face	NOUN
ddj-78	318	7	of	of	ADP
ddj-78	318	8	platonic	platonic	ADJ
ddj-78	318	9	solid	solid	ADJ
ddj-78	318	10	with	with	ADP
ddj-78	318	11	4	4	NUM
ddj-78	318	12	faces	face	NOUN
ddj-78	318	13	.	.	PUNCT
ddj-78	319	1	the	the	DET
ddj-78	319	2	four	four	NUM
ddj-78	319	3	faces	face	NOUN
ddj-78	319	4	are	be	AUX
ddj-78	319	5	most	most	ADV
ddj-78	319	6	naturally	naturally	ADV
ddj-78	319	7	triangles	triangle	NOUN
ddj-78	319	8	and	and	CCONJ
ddj-78	319	9	actually	actually	ADV
ddj-78	319	10	must	must	AUX
ddj-78	319	11	be	be	AUX
ddj-78	319	12	so	so	ADV
ddj-78	319	13	since	since	SCONJ
ddj-78	319	14	tetrahedron	tetrahedron	NOUN
ddj-78	319	15	is	be	AUX
ddj-78	319	16	the	the	DET
ddj-78	319	17	only	only	ADJ
ddj-78	319	18	platonic	platonic	ADJ
ddj-78	319	19	solid	solid	ADJ
ddj-78	319	20	having	have	VERB
ddj-78	319	21	4	4	NUM
ddj-78	319	22	faces	face	NOUN
ddj-78	319	23	and	and	CCONJ
ddj-78	319	24	its	its	PRON
ddj-78	319	25	faces	face	NOUN
ddj-78	319	26	are	be	AUX
ddj-78	319	27	indeed	indeed	ADV
ddj-78	319	28	triangles	triangle	NOUN
ddj-78	319	29	.	.	PUNCT
ddj-78	320	1	tetrahedron	tetrahedron	NOUN
ddj-78	320	2	has	have	VERB
ddj-78	320	3	symmetry	symmetry	NOUN
ddj-78	320	4	group	group	NOUN
ddj-78	320	5	s3	s3	PROPN
ddj-78	320	6	containing	contain	VERB
ddj-78	320	7	z3	z3	PROPN
ddj-78	320	8	and	and	CCONJ
ddj-78	320	9	isbn	isbn	ADJ
ddj-78	320	10	:	:	PUNCT
ddj-78	320	11	2159	2159	NUM
ddj-78	320	12	-	-	PUNCT
ddj-78	320	13	046x	046x	NOUN
ddj-78	320	14	dna	dna	NOUN
ddj-78	320	15	decipher	decipher	PROPN
ddj-78	320	16	journal	journal	PROPN
ddj-78	320	17	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	320	18	published	publish	VERB
ddj-78	320	19	by	by	ADP
ddj-78	320	20	quantumdream	quantumdream	PROPN
ddj-78	320	21	,	,	PUNCT
ddj-78	320	22	inc	inc	PROPN
ddj-78	320	23	.	.	PROPN
ddj-78	320	24	dna	dna	PROPN
ddj-78	320	25	decipher	decipher	PROPN
ddj-78	320	26	journal	journal	PROPN
ddj-78	321	1	|	|	ADV
ddj-78	321	2	october	october	PROPN
ddj-78	321	3	2014	2014	NUM
ddj-78	321	4	|	|	ADV
ddj-78	321	5	volume	volume	NOUN
ddj-78	321	6	4	4	NUM
ddj-78	321	7	|	|	NOUN
ddj-78	321	8	issue	issue	VERB
ddj-78	321	9	2	2	NUM
ddj-78	321	10	|	|	CCONJ
ddj-78	321	11	pp	pp	ADJ
ddj-78	321	12	.	.	PUNCT
ddj-78	322	1	141	141	NUM
ddj-78	322	2	-	-	SYM
ddj-78	322	3	160	160	NUM
ddj-78	322	4	152	152	NUM
ddj-78	322	5	pitkänen	pitkänen	NOUN
ddj-78	322	6	,	,	PUNCT
ddj-78	322	7	m.	m.	NOUN
ddj-78	322	8	pythagoras	pythagoras	PROPN
ddj-78	322	9	,	,	PUNCT
ddj-78	322	10	music	music	NOUN
ddj-78	322	11	,	,	PUNCT
ddj-78	322	12	sacred	sacred	ADJ
ddj-78	322	13	geometry	geometry	NOUN
ddj-78	322	14	and	and	CCONJ
ddj-78	322	15	genetic	genetic	ADJ
ddj-78	322	16	code	code	NOUN
ddj-78	322	17	z2	z2	PROPN
ddj-78	322	18	as	as	ADP
ddj-78	322	19	subgroups	subgroup	NOUN
ddj-78	322	20	.	.	PUNCT
ddj-78	323	1	z3	z3	PROPN
ddj-78	323	2	leaves	leave	VERB
ddj-78	323	3	one	one	NUM
ddj-78	323	4	of	of	ADP
ddj-78	323	5	the	the	DET
ddj-78	323	6	tetrahedral	tetrahedral	ADJ
ddj-78	323	7	triangles	triangle	NOUN
ddj-78	323	8	invariant	invariant	ADJ
ddj-78	323	9	so	so	SCONJ
ddj-78	323	10	that	that	SCONJ
ddj-78	323	11	one	one	PRON
ddj-78	323	12	has	have	VERB
ddj-78	323	13	two	two	NUM
ddj-78	323	14	orbits	orbit	NOUN
ddj-78	323	15	consisting	consist	VERB
ddj-78	323	16	of	of	ADP
ddj-78	323	17	1	1	NUM
ddj-78	323	18	and	and	CCONJ
ddj-78	323	19	3	3	NUM
ddj-78	323	20	triangles	triangle	NOUN
ddj-78	323	21	respectively	respectively	ADV
ddj-78	323	22	.	.	PUNCT
ddj-78	324	1	2	2	X
ddj-78	324	2	.	.	X
ddj-78	324	3	one	one	NUM
ddj-78	324	4	amino	amino	NOUN
ddj-78	324	5	-	-	PUNCT
ddj-78	324	6	acid	acid	NOUN
ddj-78	324	7	is	be	AUX
ddj-78	324	8	coded	code	VERB
ddj-78	324	9	by	by	ADP
ddj-78	324	10	3	3	NUM
ddj-78	324	11	rather	rather	ADV
ddj-78	324	12	than	than	ADP
ddj-78	324	13	only	only	ADV
ddj-78	324	14	2	2	NUM
ddj-78	324	15	codons	codon	NOUN
ddj-78	324	16	.	.	PUNCT
ddj-78	325	1	one	one	PRON
ddj-78	325	2	can	can	AUX
ddj-78	325	3	indeed	indeed	ADV
ddj-78	325	4	understand	understand	VERB
ddj-78	325	5	this	this	DET
ddj-78	325	6	symmetry	symmetry	NOUN
ddj-78	325	7	breaking	break	VERB
ddj-78	325	8	geometrically	geometrically	ADV
ddj-78	325	9	.	.	PUNCT
ddj-78	326	1	if	if	SCONJ
ddj-78	326	2	the	the	DET
ddj-78	326	3	tetrahedron	tetrahedron	NOUN
ddj-78	326	4	is	be	AUX
ddj-78	326	5	attached	attach	VERB
ddj-78	326	6	on	on	ADP
ddj-78	326	7	icosahedron	icosahedron	NUM
ddj-78	326	8	along	along	ADP
ddj-78	326	9	one	one	NUM
ddj-78	326	10	of	of	ADP
ddj-78	326	11	its	its	PRON
ddj-78	326	12	triangular	triangular	NOUN
ddj-78	326	13	faces	face	NOUN
ddj-78	326	14	and	and	CCONJ
ddj-78	326	15	this	this	DET
ddj-78	326	16	icosahedral	icosahedral	ADJ
ddj-78	326	17	face	face	NOUN
ddj-78	326	18	corresponds	correspond	VERB
ddj-78	326	19	to	to	ADP
ddj-78	326	20	amino	amino	NOUN
ddj-78	326	21	-	-	PUNCT
ddj-78	326	22	acid	acid	NOUN
ddj-78	326	23	(	(	PUNCT
ddj-78	326	24	ile	ile	PROPN
ddj-78	326	25	)	)	PUNCT
ddj-78	326	26	belonging	belong	VERB
ddj-78	326	27	to	to	ADP
ddj-78	326	28	a	a	DET
ddj-78	326	29	2	2	NUM
ddj-78	326	30	-	-	PUNCT
ddj-78	326	31	triangle	triangle	NOUN
ddj-78	326	32	orbit	orbit	NOUN
ddj-78	326	33	under	under	ADP
ddj-78	326	34	icosahedral	icosahedral	ADJ
ddj-78	326	35	z2	z2	NOUN
ddj-78	326	36	one	one	NUM
ddj-78	326	37	obtains	obtain	VERB
ddj-78	326	38	3	3	NUM
ddj-78	326	39	codons	codon	NOUN
ddj-78	326	40	coding	code	VERB
ddj-78	326	41	for	for	ADP
ddj-78	326	42	ile	ile	PROPN
ddj-78	326	43	!	!	PUNCT
ddj-78	327	1	i	i	PRON
ddj-78	327	2	have	have	AUX
ddj-78	327	3	actually	actually	ADV
ddj-78	327	4	proposed	propose	VERB
ddj-78	327	5	earlier	early	ADV
ddj-78	327	6	a	a	DET
ddj-78	327	7	model	model	NOUN
ddj-78	327	8	involving	involve	VERB
ddj-78	327	9	attachment	attachment	NOUN
ddj-78	327	10	of	of	ADP
ddj-78	327	11	tetrahedrons	tetrahedron	NOUN
ddj-78	327	12	to	to	PART
ddj-78	327	13	icosahedron	icosahedron	NUM
ddj-78	327	14	as	as	ADP
ddj-78	327	15	a	a	DET
ddj-78	327	16	model	model	NOUN
ddj-78	327	17	for	for	ADP
ddj-78	327	18	genetic	genetic	ADJ
ddj-78	327	19	code	code	NOUN
ddj-78	327	20	.	.	PUNCT
ddj-78	328	1	3	3	X
ddj-78	328	2	.	.	X
ddj-78	328	3	tetrahedron	tetrahedron	NOUN
ddj-78	328	4	should	should	AUX
ddj-78	328	5	bring	bring	VERB
ddj-78	328	6	in	in	ADP
ddj-78	328	7	three	three	NUM
ddj-78	328	8	additional	additional	ADJ
ddj-78	328	9	amino	amino	NOUN
ddj-78	328	10	-	-	PUNCT
ddj-78	328	11	acids	acid	NOUN
ddj-78	328	12	.	.	PUNCT
ddj-78	329	1	”	"	PUNCT
ddj-78	329	2	empty	empty	ADJ
ddj-78	329	3	”	"	PUNCT
ddj-78	329	4	amino	amino	NOUN
ddj-78	329	5	-	-	PUNCT
ddj-78	329	6	acid	acid	NOUN
ddj-78	329	7	could	could	AUX
ddj-78	329	8	correspond	correspond	VERB
ddj-78	329	9	to	to	ADP
ddj-78	329	10	either	either	DET
ddj-78	329	11	one	one	NUM
ddj-78	329	12	of	of	ADP
ddj-78	329	13	them	they	PRON
ddj-78	329	14	or	or	CCONJ
ddj-78	329	15	to	to	ADP
ddj-78	329	16	the	the	DET
ddj-78	329	17	common	common	ADJ
ddj-78	329	18	base	base	NOUN
ddj-78	329	19	triangle	triangle	NOUN
ddj-78	329	20	which	which	PRON
ddj-78	329	21	is	be	AUX
ddj-78	329	22	indeed	indeed	ADV
ddj-78	329	23	geometrically	geometrically	ADV
ddj-78	329	24	in	in	ADP
ddj-78	329	25	unique	unique	ADJ
ddj-78	329	26	position	position	NOUN
ddj-78	329	27	.	.	PUNCT
ddj-78	330	1	one	one	PRON
ddj-78	330	2	could	could	AUX
ddj-78	330	3	even	even	ADV
ddj-78	330	4	demand	demand	VERB
ddj-78	330	5	that	that	SCONJ
ddj-78	330	6	this	this	DET
ddj-78	330	7	triangle	triangle	NOUN
ddj-78	330	8	is	be	AUX
ddj-78	330	9	”	"	PUNCT
ddj-78	330	10	empty	empty	ADJ
ddj-78	330	11	”	"	PUNCT
ddj-78	330	12	so	so	SCONJ
ddj-78	330	13	that	that	SCONJ
ddj-78	330	14	icosatetrahedron	icosatetrahedron	NOUN
ddj-78	330	15	would	would	AUX
ddj-78	330	16	be	be	AUX
ddj-78	330	17	non	non	ADJ
ddj-78	330	18	-	-	ADJ
ddj-78	330	19	singular	singular	ADJ
ddj-78	330	20	continuous	continuous	ADJ
ddj-78	330	21	manifold	manifold	NOUN
ddj-78	330	22	.	.	PUNCT
ddj-78	331	1	this	this	PRON
ddj-78	331	2	would	would	AUX
ddj-78	331	3	mean	mean	VERB
ddj-78	331	4	exchange	exchange	NOUN
ddj-78	331	5	of	of	ADP
ddj-78	331	6	the	the	DET
ddj-78	331	7	roles	role	NOUN
ddj-78	331	8	of	of	ADP
ddj-78	331	9	ile	ile	PROPN
ddj-78	331	10	and	and	CCONJ
ddj-78	331	11	empty	empty	ADJ
ddj-78	331	12	amino	amino	NOUN
ddj-78	331	13	-	-	PUNCT
ddj-78	331	14	acid	acid	NOUN
ddj-78	331	15	both	both	PRON
ddj-78	331	16	being	be	AUX
ddj-78	331	17	coded	code	VERB
ddj-78	331	18	by	by	ADP
ddj-78	331	19	three	three	NUM
ddj-78	331	20	codons	codon	NOUN
ddj-78	331	21	.	.	PUNCT
ddj-78	332	1	the	the	DET
ddj-78	332	2	3	3	NUM
ddj-78	332	3	-	-	PUNCT
ddj-78	332	4	triangle	triangle	NOUN
ddj-78	332	5	orbit	orbit	NOUN
ddj-78	332	6	outside	outside	ADP
ddj-78	332	7	the	the	DET
ddj-78	332	8	icosahedron	icosahedron	X
ddj-78	332	9	would	would	AUX
ddj-78	332	10	correspond	correspond	VERB
ddj-78	332	11	to	to	ADP
ddj-78	332	12	ile	ile	PROPN
ddj-78	332	13	and	and	CCONJ
ddj-78	332	14	base	base	NOUN
ddj-78	332	15	triangle	triangle	NOUN
ddj-78	332	16	to	to	ADP
ddj-78	332	17	empty	empty	ADJ
ddj-78	332	18	amino	amino	NOUN
ddj-78	332	19	-	-	PUNCT
ddj-78	332	20	acid	acid	NOUN
ddj-78	332	21	or	or	CCONJ
ddj-78	332	22	vice	vice	NOUN
ddj-78	332	23	versa	versa	ADV
ddj-78	332	24	.	.	PUNCT
ddj-78	333	1	base	base	NOUN
ddj-78	333	2	triangle	triangle	NOUN
ddj-78	333	3	would	would	AUX
ddj-78	333	4	be	be	AUX
ddj-78	333	5	coded	code	VERB
ddj-78	333	6	by	by	ADP
ddj-78	333	7	1	1	NUM
ddj-78	333	8	tetrahedral	tetrahedral	ADJ
ddj-78	333	9	codon	codon	NOUN
ddj-78	333	10	plus	plus	CCONJ
ddj-78	333	11	2	2	NUM
ddj-78	333	12	icosahedral	icosahedral	ADJ
ddj-78	333	13	codons	codon	NOUN
ddj-78	333	14	.	.	PUNCT
ddj-78	334	1	one	one	NUM
ddj-78	334	2	of	of	ADP
ddj-78	334	3	the	the	DET
ddj-78	334	4	outsider	outsider	NOUN
ddj-78	334	5	triangles	triangle	NOUN
ddj-78	334	6	corresponds	correspond	VERB
ddj-78	334	7	to	to	ADP
ddj-78	334	8	”	"	PUNCT
ddj-78	334	9	empty	empty	ADJ
ddj-78	334	10	”	"	PUNCT
ddj-78	334	11	amino	amino	NOUN
ddj-78	334	12	-	-	PUNCT
ddj-78	334	13	acid	acid	NOUN
ddj-78	334	14	or	or	CCONJ
ddj-78	334	15	ile	ile	PROPN
ddj-78	334	16	but	but	CCONJ
ddj-78	334	17	two	two	NUM
ddj-78	334	18	other	other	ADJ
ddj-78	334	19	triangles	triangle	NOUN
ddj-78	334	20	to	to	ADP
ddj-78	334	21	two	two	NUM
ddj-78	334	22	new	new	ADJ
ddj-78	334	23	exotic	exotic	ADJ
ddj-78	334	24	amino	amino	NOUN
ddj-78	334	25	-	-	PUNCT
ddj-78	334	26	acids	acid	NOUN
ddj-78	334	27	.	.	PUNCT
ddj-78	335	1	in	in	ADP
ddj-78	335	2	some	some	DET
ddj-78	335	3	species	specie	NOUN
ddj-78	335	4	there	there	ADV
ddj-78	335	5	indeed	indeed	ADV
ddj-78	335	6	are	be	AUX
ddj-78	335	7	21st	21st	ADJ
ddj-78	335	8	and	and	CCONJ
ddj-78	335	9	22nd	22nd	NOUN
ddj-78	335	10	amino	amino	NOUN
ddj-78	335	11	-	-	PUNCT
ddj-78	335	12	acids	acid	NOUN
ddj-78	335	13	(	(	PUNCT
ddj-78	335	14	selenocysteine	selenocysteine	NOUN
ddj-78	335	15	and	and	CCONJ
ddj-78	335	16	pyrrolysine	pyrrolysine	NOUN
ddj-78	335	17	,	,	PUNCT
ddj-78	335	18	http://en.wikipedia.org/wiki/amino_acid	http://en.wikipedia.org/wiki/amino_acid	ADV
ddj-78	335	19	)	)	PUNCT
ddj-78	335	20	with	with	ADP
ddj-78	335	21	sulphur	sulphur	NOUN
ddj-78	335	22	replaced	replace	VERB
ddj-78	335	23	with	with	ADP
ddj-78	335	24	selene	selene	PROPN
ddj-78	335	25	.	.	PUNCT
ddj-78	336	1	this	this	DET
ddj-78	336	2	modification	modification	NOUN
ddj-78	336	3	does	do	AUX
ddj-78	336	4	not	not	PART
ddj-78	336	5	change	change	VERB
ddj-78	336	6	the	the	DET
ddj-78	336	7	polarity	polarity	NOUN
ddj-78	336	8	properties	property	NOUN
ddj-78	336	9	of	of	ADP
ddj-78	336	10	cys	cys	PROPN
ddj-78	336	11	and	and	CCONJ
ddj-78	336	12	lys	lys	PROPN
ddj-78	336	13	:	:	PUNCT
ddj-78	336	14	cys	cys	PROPN
ddj-78	336	15	is	be	AUX
ddj-78	336	16	non	non	ADJ
ddj-78	336	17	-	-	ADJ
ddj-78	336	18	polar	polar	ADJ
ddj-78	336	19	and	and	CCONJ
ddj-78	336	20	lys	lys	VERB
ddj-78	336	21	basic	basic	ADJ
ddj-78	336	22	polar	polar	ADJ
ddj-78	336	23	implying	implying	ADJ
ddj-78	336	24	(	(	PUNCT
ddj-78	336	25	n0	n0	ADJ
ddj-78	336	26	,	,	PUNCT
ddj-78	336	27	n1	n1	NOUN
ddj-78	336	28	,	,	PUNCT
ddj-78	336	29	n2)→	n2)→	PRON
ddj-78	336	30	(	(	PUNCT
ddj-78	336	31	4	4	NUM
ddj-78	336	32	,	,	PUNCT
ddj-78	336	33	11	11	NUM
ddj-78	336	34	,	,	PUNCT
ddj-78	336	35	7	7	NUM
ddj-78	336	36	)	)	PUNCT
ddj-78	336	37	.	.	PUNCT
ddj-78	337	1	4	4	X
ddj-78	337	2	.	.	X
ddj-78	337	3	the	the	DET
ddj-78	337	4	naive	naive	ADJ
ddj-78	337	5	assumption	assumption	NOUN
ddj-78	337	6	(	(	PUNCT
ddj-78	337	7	n0	n0	ADJ
ddj-78	337	8	,	,	PUNCT
ddj-78	337	9	n1	n1	NOUN
ddj-78	337	10	,	,	PUNCT
ddj-78	337	11	n2	n2	NOUN
ddj-78	337	12	)	)	PUNCT
ddj-78	337	13	=	=	PUNCT
ddj-78	337	14	(	(	PUNCT
ddj-78	337	15	3	3	NUM
ddj-78	337	16	,	,	PUNCT
ddj-78	337	17	10	10	NUM
ddj-78	337	18	,	,	PUNCT
ddj-78	337	19	7	7	NUM
ddj-78	337	20	)	)	PUNCT
ddj-78	337	21	before	before	SCONJ
ddj-78	337	22	the	the	DET
ddj-78	337	23	modification	modification	NOUN
ddj-78	337	24	need	need	AUX
ddj-78	337	25	not	not	PART
ddj-78	337	26	be	be	AUX
ddj-78	337	27	correct	correct	ADJ
ddj-78	337	28	and	and	CCONJ
ddj-78	337	29	the	the	DET
ddj-78	337	30	numerous	numerous	ADJ
ddj-78	337	31	futile	futile	ADJ
ddj-78	337	32	attempts	attempt	NOUN
ddj-78	337	33	to	to	PART
ddj-78	337	34	construct	construct	VERB
ddj-78	337	35	this	this	DET
ddj-78	337	36	cycle	cycle	NOUN
ddj-78	337	37	and	and	CCONJ
ddj-78	337	38	the	the	DET
ddj-78	337	39	argument	argument	NOUN
ddj-78	337	40	below	below	ADV
ddj-78	337	41	for	for	ADP
ddj-78	337	42	construction	construction	NOUN
ddj-78	337	43	of	of	ADP
ddj-78	337	44	icosahedral	icosahedral	ADJ
ddj-78	337	45	hamilton	hamilton	PROPN
ddj-78	337	46	cycle	cycle	NOUN
ddj-78	337	47	suggests	suggest	VERB
ddj-78	337	48	that	that	SCONJ
ddj-78	337	49	(	(	PUNCT
ddj-78	337	50	n0	n0	ADJ
ddj-78	337	51	,	,	PUNCT
ddj-78	337	52	n1	n1	NOUN
ddj-78	337	53	,	,	PUNCT
ddj-78	337	54	n2	n2	NOUN
ddj-78	337	55	)	)	PUNCT
ddj-78	337	56	=	=	PUNCT
ddj-78	337	57	(	(	PUNCT
ddj-78	337	58	4	4	NUM
ddj-78	337	59	,	,	PUNCT
ddj-78	337	60	8	8	NUM
ddj-78	337	61	,	,	PUNCT
ddj-78	337	62	8)	8)	NUM
ddj-78	337	63	is	be	AUX
ddj-78	337	64	more	more	ADV
ddj-78	337	65	feasible	feasible	ADJ
ddj-78	337	66	option	option	NOUN
ddj-78	337	67	.	.	PUNCT
ddj-78	338	1	5	5	X
ddj-78	338	2	.	.	X
ddj-78	338	3	the	the	DET
ddj-78	338	4	two	two	NUM
ddj-78	338	5	outsider	outsider	NOUN
ddj-78	338	6	tetrahedral	tetrahedral	ADJ
ddj-78	338	7	triangles	triangle	NOUN
ddj-78	338	8	could	could	AUX
ddj-78	338	9	correspond	correspond	VERB
ddj-78	338	10	to	to	ADP
ddj-78	338	11	the	the	DET
ddj-78	338	12	orbits	orbit	NOUN
ddj-78	338	13	of	of	ADP
ddj-78	338	14	z2	z2	PROPN
ddj-78	338	15	subgroup	subgroup	NOUN
ddj-78	338	16	of	of	ADP
ddj-78	338	17	s3	s3	PROPN
ddj-78	338	18	acting	act	VERB
ddj-78	338	19	as	as	ADP
ddj-78	338	20	reflection	reflection	NOUN
ddj-78	338	21	with	with	ADP
ddj-78	338	22	respect	respect	NOUN
ddj-78	338	23	to	to	ADP
ddj-78	338	24	media	medium	NOUN
ddj-78	338	25	of	of	ADP
ddj-78	338	26	the	the	DET
ddj-78	338	27	bottom	bottom	ADJ
ddj-78	338	28	triangle	triangle	NOUN
ddj-78	338	29	.	.	PUNCT
ddj-78	339	1	outside	outside	ADJ
ddj-78	339	2	faces	face	NOUN
ddj-78	339	3	form	form	NOUN
ddj-78	339	4	orbits	orbit	NOUN
ddj-78	339	5	consisting	consist	VERB
ddj-78	339	6	of	of	ADP
ddj-78	339	7	1	1	NUM
ddj-78	339	8	triangle	triangle	NOUN
ddj-78	339	9	and	and	CCONJ
ddj-78	339	10	2	2	NUM
ddj-78	339	11	-	-	PUNCT
ddj-78	339	12	triangles	triangle	NOUN
ddj-78	339	13	.	.	PUNCT
ddj-78	340	1	these	these	DET
ddj-78	340	2	orbits	orbit	NOUN
ddj-78	340	3	could	could	AUX
ddj-78	340	4	correspond	correspond	VERB
ddj-78	340	5	to	to	ADP
ddj-78	340	6	21st	21st	ADJ
ddj-78	340	7	and	and	CCONJ
ddj-78	340	8	22nd	22nd	NOUN
ddj-78	340	9	amino	amino	NOUN
ddj-78	340	10	-	-	PUNCT
ddj-78	340	11	acids	acid	NOUN
ddj-78	340	12	coded	code	VERB
ddj-78	340	13	by	by	ADP
ddj-78	340	14	1	1	NUM
ddj-78	340	15	and	and	CCONJ
ddj-78	340	16	2	2	NUM
ddj-78	340	17	exotic	exotic	ADJ
ddj-78	340	18	variants	variant	NOUN
ddj-78	340	19	of	of	ADP
ddj-78	340	20	stopping	stop	VERB
ddj-78	340	21	codons	codon	NOUN
ddj-78	340	22	respectively	respectively	ADV
ddj-78	340	23	.	.	PUNCT
ddj-78	341	1	the	the	DET
ddj-78	341	2	2	2	NUM
ddj-78	341	3	exotic	exotic	ADJ
ddj-78	341	4	amino	amino	NOUN
ddj-78	341	5	-	-	PUNCT
ddj-78	341	6	acids	acid	NOUN
ddj-78	341	7	are	be	AUX
ddj-78	341	8	however	however	ADV
ddj-78	341	9	coded	code	VERB
ddj-78	341	10	by	by	ADP
ddj-78	341	11	codons	codon	NOUN
ddj-78	341	12	which	which	PRON
ddj-78	341	13	are	be	AUX
ddj-78	341	14	usually	usually	ADV
ddj-78	341	15	interpreted	interpret	VERB
ddj-78	341	16	as	as	ADP
ddj-78	341	17	stopping	stop	VERB
ddj-78	341	18	codons	codon	NOUN
ddj-78	341	19	.	.	PUNCT
ddj-78	342	1	something	something	PRON
ddj-78	342	2	must	must	AUX
ddj-78	342	3	however	however	ADV
ddj-78	342	4	distinguish	distinguish	VERB
ddj-78	342	5	between	between	ADP
ddj-78	342	6	standard	standard	ADJ
ddj-78	342	7	and	and	CCONJ
ddj-78	342	8	exotic	exotic	ADJ
ddj-78	342	9	codings	coding	NOUN
ddj-78	342	10	.	.	PUNCT
ddj-78	343	1	is	be	AUX
ddj-78	343	2	it	it	PRON
ddj-78	343	3	”	"	PUNCT
ddj-78	343	4	context	context	NOUN
ddj-78	343	5	”	"	PUNCT
ddj-78	343	6	giving	give	VERB
ddj-78	343	7	different	different	ADJ
ddj-78	343	8	meaning	meaning	NOUN
ddj-78	343	9	for	for	ADP
ddj-78	343	10	codons	codon	NOUN
ddj-78	343	11	and	and	CCONJ
ddj-78	343	12	perhaps	perhaps	ADV
ddj-78	343	13	characterized	characterize	VERB
ddj-78	343	14	by	by	ADP
ddj-78	343	15	different	different	ADJ
ddj-78	343	16	magnetic	magnetic	ADJ
ddj-78	343	17	bodies	body	NOUN
ddj-78	343	18	of	of	ADP
ddj-78	343	19	codons	codon	NOUN
ddj-78	343	20	?	?	PUNCT
ddj-78	344	1	the	the	DET
ddj-78	344	2	base	base	NOUN
ddj-78	344	3	triangle	triangle	NOUN
ddj-78	344	4	is	be	AUX
ddj-78	344	5	counted	count	VERB
ddj-78	344	6	neither	neither	CCONJ
ddj-78	344	7	as	as	ADP
ddj-78	344	8	amino	amino	NOUN
ddj-78	344	9	-	-	PUNCT
ddj-78	344	10	acid	acid	NOUN
ddj-78	344	11	nor	nor	CCONJ
ddj-78	344	12	as	as	ADP
ddj-78	344	13	a	a	DET
ddj-78	344	14	part	part	NOUN
ddj-78	344	15	of	of	ADP
ddj-78	344	16	the	the	DET
ddj-78	344	17	”	"	PUNCT
ddj-78	344	18	icosatetrahedron	icosatetrahedron	NOUN
ddj-78	344	19	”	"	PUNCT
ddj-78	344	20	.	.	PUNCT
ddj-78	345	1	the	the	DET
ddj-78	345	2	interpretation	interpretation	NOUN
ddj-78	345	3	is	be	AUX
ddj-78	345	4	natural	natural	ADJ
ddj-78	345	5	since	since	SCONJ
ddj-78	345	6	the	the	DET
ddj-78	345	7	resulting	result	VERB
ddj-78	345	8	topological	topological	ADJ
ddj-78	345	9	structure	structure	NOUN
ddj-78	345	10	is	be	AUX
ddj-78	345	11	non	non	ADJ
ddj-78	345	12	-	-	ADJ
ddj-78	345	13	singular	singular	ADJ
ddj-78	345	14	and	and	CCONJ
ddj-78	345	15	defines	define	VERB
ddj-78	345	16	a	a	DET
ddj-78	345	17	continuous	continuous	ADJ
ddj-78	345	18	albeit	albeit	SCONJ
ddj-78	345	19	not	not	PART
ddj-78	345	20	differentiable	differentiable	VERB
ddj-78	345	21	manifold	manifold	ADJ
ddj-78	345	22	topology	topology	NOUN
ddj-78	345	23	(	(	PUNCT
ddj-78	345	24	sphere	sphere	NOUN
ddj-78	345	25	)	)	PUNCT
ddj-78	345	26	.	.	PUNCT
ddj-78	346	1	3.2.3	3.2.3	NUM
ddj-78	346	2	how	how	SCONJ
ddj-78	346	3	the	the	DET
ddj-78	346	4	icosahedral	icosahedral	ADJ
ddj-78	346	5	hamiltonian	hamiltonian	ADJ
ddj-78	346	6	cycle	cycle	NOUN
ddj-78	346	7	is	be	AUX
ddj-78	346	8	modified	modify	VERB
ddj-78	346	9	?	?	PUNCT
ddj-78	347	1	the	the	DET
ddj-78	347	2	properties	property	NOUN
ddj-78	347	3	of	of	ADP
ddj-78	347	4	exotic	exotic	ADJ
ddj-78	347	5	amino	amino	NOUN
ddj-78	347	6	-	-	PUNCT
ddj-78	347	7	acids	acid	NOUN
ddj-78	347	8	give	give	VERB
ddj-78	347	9	constraints	constraint	NOUN
ddj-78	347	10	on	on	ADP
ddj-78	347	11	how	how	SCONJ
ddj-78	347	12	the	the	DET
ddj-78	347	13	modification	modification	NOUN
ddj-78	347	14	of	of	ADP
ddj-78	347	15	the	the	DET
ddj-78	347	16	hamiltonian	hamiltonian	ADJ
ddj-78	347	17	cycle	cycle	NOUN
ddj-78	347	18	should	should	AUX
ddj-78	347	19	be	be	AUX
ddj-78	347	20	carried	carry	VERB
ddj-78	347	21	out	out	ADP
ddj-78	347	22	.	.	PUNCT
ddj-78	348	1	the	the	DET
ddj-78	348	2	naive	naive	ADJ
ddj-78	348	3	expectation	expectation	NOUN
ddj-78	348	4	that	that	SCONJ
ddj-78	348	5	the	the	DET
ddj-78	348	6	outer	outer	ADJ
ddj-78	348	7	triangles	triangle	NOUN
ddj-78	348	8	of	of	ADP
ddj-78	348	9	added	add	VERB
ddj-78	348	10	tetrahedron	tetrahedron	NOUN
ddj-78	348	11	correspond	correspond	NOUN
ddj-78	348	12	to	to	ADP
ddj-78	348	13	”	"	PUNCT
ddj-78	348	14	empty	empty	ADJ
ddj-78	348	15	”	"	PUNCT
ddj-78	348	16	amino	amino	NOUN
ddj-78	348	17	-	-	PUNCT
ddj-78	348	18	acid	acid	NOUN
ddj-78	348	19	and	and	CCONJ
ddj-78	348	20	2	2	NUM
ddj-78	348	21	exotic	exotic	ADJ
ddj-78	348	22	amino	amino	NOUN
ddj-78	348	23	-	-	PUNCT
ddj-78	348	24	acids	acid	NOUN
ddj-78	348	25	is	be	AUX
ddj-78	348	26	not	not	PART
ddj-78	348	27	correct	correct	ADJ
ddj-78	348	28	.	.	PUNCT
ddj-78	349	1	a	a	DET
ddj-78	349	2	more	more	ADV
ddj-78	349	3	appropriate	appropriate	ADJ
ddj-78	349	4	interpretation	interpretation	NOUN
ddj-78	349	5	is	be	AUX
ddj-78	349	6	as	as	ADP
ddj-78	349	7	a	a	DET
ddj-78	349	8	fusion	fusion	NOUN
ddj-78	349	9	of	of	ADP
ddj-78	349	10	icosahedral	icosahedral	ADJ
ddj-78	349	11	and	and	CCONJ
ddj-78	349	12	tetrahedral	tetrahedral	ADJ
ddj-78	349	13	codes	code	NOUN
ddj-78	349	14	having	have	VERB
ddj-78	349	15	common	common	ADJ
ddj-78	349	16	”	"	PUNCT
ddj-78	349	17	empty	empty	ADJ
ddj-78	349	18	amino	amino	NOUN
ddj-78	349	19	-	-	PUNCT
ddj-78	349	20	acid	acid	NOUN
ddj-78	349	21	”	"	PUNCT
ddj-78	349	22	coded	code	VERB
ddj-78	349	23	2	2	NUM
ddj-78	349	24	icosahedral	icosahedral	ADJ
ddj-78	349	25	and	and	CCONJ
ddj-78	349	26	1	1	NUM
ddj-78	349	27	tetrahedral	tetrahedral	ADJ
ddj-78	349	28	1	1	NUM
ddj-78	349	29	stopping	stop	VERB
ddj-78	349	30	codons	codon	NOUN
ddj-78	349	31	respectively	respectively	ADV
ddj-78	349	32	and	and	CCONJ
ddj-78	349	33	obtained	obtain	VERB
ddj-78	349	34	by	by	ADP
ddj-78	349	35	gluing	glue	VERB
ddj-78	349	36	these	these	DET
ddj-78	349	37	platonic	platonic	ADJ
ddj-78	349	38	solids	solid	NOUN
ddj-78	349	39	together	together	ADV
ddj-78	349	40	along	along	ADP
ddj-78	349	41	the	the	DET
ddj-78	349	42	triangle	triangle	NOUN
ddj-78	349	43	representing	represent	VERB
ddj-78	349	44	the	the	DET
ddj-78	349	45	”	"	PUNCT
ddj-78	349	46	empty	empty	ADJ
ddj-78	349	47	”	"	PUNCT
ddj-78	349	48	amino	amino	NOUN
ddj-78	349	49	-	-	PUNCT
ddj-78	349	50	acid	acid	NOUN
ddj-78	349	51	.	.	PUNCT
ddj-78	350	1	that	that	SCONJ
ddj-78	350	2	the	the	DET
ddj-78	350	3	common	common	ADJ
ddj-78	350	4	triangle	triangle	NOUN
ddj-78	350	5	corresponds	correspond	VERB
ddj-78	350	6	to	to	ADP
ddj-78	350	7	”	"	PUNCT
ddj-78	350	8	empty	empty	ADJ
ddj-78	350	9	”	"	PUNCT
ddj-78	350	10	aminoacid	aminoacid	NOUN
ddj-78	350	11	means	mean	VERB
ddj-78	350	12	geometrically	geometrically	ADV
ddj-78	350	13	that	that	SCONJ
ddj-78	350	14	its	its	PRON
ddj-78	350	15	interior	interior	NOUN
ddj-78	350	16	is	be	AUX
ddj-78	350	17	not	not	PART
ddj-78	350	18	included	include	VERB
ddj-78	350	19	so	so	SCONJ
ddj-78	350	20	that	that	SCONJ
ddj-78	350	21	the	the	DET
ddj-78	350	22	resulting	result	VERB
ddj-78	350	23	structure	structure	NOUN
ddj-78	350	24	is	be	AUX
ddj-78	350	25	continuous	continuous	ADJ
ddj-78	350	26	manifold	manifold	ADJ
ddj-78	350	27	having	have	VERB
ddj-78	350	28	topology	topology	NOUN
ddj-78	350	29	of	of	ADP
ddj-78	350	30	sphere	sphere	NOUN
ddj-78	350	31	.	.	PUNCT
ddj-78	351	1	consider	consider	VERB
ddj-78	351	2	now	now	ADV
ddj-78	351	3	the	the	DET
ddj-78	351	4	detailed	detailed	ADJ
ddj-78	351	5	construction	construction	NOUN
ddj-78	351	6	.	.	PUNCT
ddj-78	352	1	isbn	isbn	ADJ
ddj-78	352	2	:	:	PUNCT
ddj-78	352	3	2159	2159	NUM
ddj-78	352	4	-	-	PUNCT
ddj-78	352	5	046x	046x	NOUN
ddj-78	352	6	dna	dna	NOUN
ddj-78	352	7	decipher	decipher	PROPN
ddj-78	352	8	journal	journal	PROPN
ddj-78	352	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	352	10	published	publish	VERB
ddj-78	352	11	by	by	ADP
ddj-78	352	12	quantumdream	quantumdream	PROPN
ddj-78	352	13	,	,	PUNCT
ddj-78	352	14	inc	inc	PROPN
ddj-78	352	15	.	.	PROPN
ddj-78	352	16	http://en.wikipedia.org/wiki/amino_acid	http://en.wikipedia.org/wiki/amino_acid	PROPN
ddj-78	352	17	dna	dna	PROPN
ddj-78	352	18	decipher	decipher	PROPN
ddj-78	352	19	journal	journal	PROPN
ddj-78	353	1	|	|	ADV
ddj-78	353	2	october	october	PROPN
ddj-78	353	3	2014	2014	NUM
ddj-78	353	4	|	|	ADV
ddj-78	353	5	volume	volume	NOUN
ddj-78	353	6	4	4	NUM
ddj-78	353	7	|	|	NOUN
ddj-78	353	8	issue	issue	VERB
ddj-78	353	9	2	2	NUM
ddj-78	353	10	|	|	CCONJ
ddj-78	353	11	pp	pp	ADJ
ddj-78	353	12	.	.	PUNCT
ddj-78	354	1	141	141	NUM
ddj-78	354	2	-	-	SYM
ddj-78	354	3	160	160	NUM
ddj-78	354	4	153	153	NUM
ddj-78	354	5	pitkänen	pitkänen	NOUN
ddj-78	354	6	,	,	PUNCT
ddj-78	354	7	m.	m.	NOUN
ddj-78	354	8	pythagoras	pythagoras	PROPN
ddj-78	354	9	,	,	PUNCT
ddj-78	354	10	music	music	NOUN
ddj-78	354	11	,	,	PUNCT
ddj-78	354	12	sacred	sacred	ADJ
ddj-78	354	13	geometry	geometry	NOUN
ddj-78	354	14	and	and	CCONJ
ddj-78	354	15	genetic	genetic	ADJ
ddj-78	354	16	code	code	NOUN
ddj-78	354	17	figure	figure	NOUN
ddj-78	354	18	4	4	NUM
ddj-78	354	19	:	:	PUNCT
ddj-78	354	20	icosatetrahedron	icosatetrahedron	NOUN
ddj-78	354	21	is	be	AUX
ddj-78	354	22	obtained	obtain	VERB
ddj-78	354	23	by	by	ADP
ddj-78	354	24	attaching	attach	VERB
ddj-78	354	25	tetrahedron	tetrahedron	NOUN
ddj-78	354	26	along	along	ADP
ddj-78	354	27	one	one	NUM
ddj-78	354	28	of	of	ADP
ddj-78	354	29	its	its	PRON
ddj-78	354	30	faces	face	NOUN
ddj-78	354	31	to	to	PART
ddj-78	354	32	icosahedron	icosahedron	VERB
ddj-78	354	33	.	.	PUNCT
ddj-78	355	1	the	the	DET
ddj-78	355	2	resulting	result	VERB
ddj-78	355	3	structure	structure	NOUN
ddj-78	355	4	is	be	AUX
ddj-78	355	5	topological	topological	ADJ
ddj-78	355	6	manifold	manifold	ADJ
ddj-78	355	7	if	if	SCONJ
ddj-78	355	8	the	the	DET
ddj-78	355	9	common	common	ADJ
ddj-78	355	10	face	face	NOUN
ddj-78	355	11	is	be	AUX
ddj-78	355	12	replaced	replace	VERB
ddj-78	355	13	with	with	ADP
ddj-78	355	14	empty	empty	ADJ
ddj-78	355	15	set	set	NOUN
ddj-78	355	16	and	and	CCONJ
ddj-78	355	17	it	it	PRON
ddj-78	355	18	is	be	AUX
ddj-78	355	19	natural	natural	ADJ
ddj-78	355	20	to	to	PART
ddj-78	355	21	identify	identify	VERB
ddj-78	355	22	it	it	PRON
ddj-78	355	23	as	as	ADP
ddj-78	355	24	”	"	PUNCT
ddj-78	355	25	empty	empty	ADJ
ddj-78	355	26	”	"	PUNCT
ddj-78	355	27	aminoacid	aminoacid	NOUN
ddj-78	355	28	.	.	PUNCT
ddj-78	356	1	1	1	X
ddj-78	356	2	.	.	X
ddj-78	356	3	one	one	PRON
ddj-78	356	4	should	should	AUX
ddj-78	356	5	be	be	AUX
ddj-78	356	6	able	able	ADJ
ddj-78	356	7	to	to	PART
ddj-78	356	8	modify	modify	VERB
ddj-78	356	9	the	the	DET
ddj-78	356	10	icosahedral	icosahedral	ADJ
ddj-78	356	11	hamiltonian	hamiltonian	ADJ
ddj-78	356	12	cycle	cycle	NOUN
ddj-78	356	13	so	so	SCONJ
ddj-78	356	14	that	that	SCONJ
ddj-78	356	15	the	the	DET
ddj-78	356	16	numbers	number	NOUN
ddj-78	356	17	(	(	PUNCT
ddj-78	356	18	n0	n0	ADJ
ddj-78	356	19	,	,	PUNCT
ddj-78	356	20	n1	n1	NOUN
ddj-78	356	21	,	,	PUNCT
ddj-78	356	22	n2	n2	NOUN
ddj-78	356	23	)	)	PUNCT
ddj-78	356	24	charactering	character	VERB
ddj-78	356	25	icosahedral	icosahedral	ADJ
ddj-78	356	26	cycle	cycle	NOUN
ddj-78	356	27	change	change	NOUN
ddj-78	356	28	so	so	SCONJ
ddj-78	356	29	that	that	SCONJ
ddj-78	356	30	they	they	PRON
ddj-78	356	31	conform	conform	VERB
ddj-78	356	32	with	with	ADP
ddj-78	356	33	the	the	DET
ddj-78	356	34	properties	property	NOUN
ddj-78	356	35	of	of	ADP
ddj-78	356	36	the	the	DET
ddj-78	356	37	two	two	NUM
ddj-78	356	38	exotic	exotic	ADJ
ddj-78	356	39	amino	amino	NOUN
ddj-78	356	40	-	-	PUNCT
ddj-78	356	41	acids	acid	NOUN
ddj-78	356	42	.	.	PUNCT
ddj-78	356	43	selenocystein	selenocystein	PROPN
ddj-78	356	44	(	(	PUNCT
ddj-78	356	45	sec	sec	PROPN
ddj-78	356	46	)	)	PUNCT
ddj-78	356	47	is	be	AUX
ddj-78	356	48	nonpolar	nonpolar	ADJ
ddj-78	356	49	like	like	ADP
ddj-78	356	50	cys	cys	NOUN
ddj-78	356	51	and	and	CCONJ
ddj-78	356	52	pyrrolysine	pyrrolysine	NOUN
ddj-78	356	53	(	(	PUNCT
ddj-78	356	54	pyl	pyl	PROPN
ddj-78	356	55	)	)	PUNCT
ddj-78	356	56	basic	basic	ADJ
ddj-78	356	57	polar	polar	ADJ
ddj-78	356	58	like	like	ADP
ddj-78	356	59	lys	lys	NOUN
ddj-78	356	60	so	so	SCONJ
ddj-78	356	61	that	that	SCONJ
ddj-78	356	62	(	(	PUNCT
ddj-78	356	63	4	4	NUM
ddj-78	356	64	,	,	PUNCT
ddj-78	356	65	11	11	NUM
ddj-78	356	66	,	,	PUNCT
ddj-78	356	67	7	7	NUM
ddj-78	356	68	)	)	PUNCT
ddj-78	356	69	seems	seem	VERB
ddj-78	356	70	to	to	PART
ddj-78	356	71	be	be	AUX
ddj-78	356	72	the	the	DET
ddj-78	356	73	correct	correct	ADJ
ddj-78	356	74	characterization	characterization	NOUN
ddj-78	356	75	for	for	ADP
ddj-78	356	76	the	the	DET
ddj-78	356	77	extended	extended	ADJ
ddj-78	356	78	system	system	NOUN
ddj-78	356	79	.	.	PUNCT
ddj-78	357	1	one	one	PRON
ddj-78	357	2	must	must	AUX
ddj-78	357	3	have	have	VERB
ddj-78	357	4	(	(	PUNCT
ddj-78	357	5	n0	n0	ADJ
ddj-78	357	6	,	,	PUNCT
ddj-78	357	7	n1	n1	NOUN
ddj-78	357	8	,	,	PUNCT
ddj-78	357	9	n2)→	n2)→	PRON
ddj-78	357	10	(	(	PUNCT
ddj-78	357	11	4	4	NUM
ddj-78	357	12	,	,	PUNCT
ddj-78	357	13	11	11	NUM
ddj-78	357	14	,	,	PUNCT
ddj-78	357	15	7	7	NUM
ddj-78	357	16	)	)	PUNCT
ddj-78	357	17	.	.	PUNCT
ddj-78	358	1	2	2	X
ddj-78	358	2	.	.	X
ddj-78	358	3	one	one	PRON
ddj-78	358	4	must	must	AUX
ddj-78	358	5	visit	visit	VERB
ddj-78	358	6	the	the	DET
ddj-78	358	7	additional	additional	ADJ
ddj-78	358	8	vertex	vertex	NOUN
ddj-78	358	9	,	,	PUNCT
ddj-78	358	10	which	which	PRON
ddj-78	358	11	means	mean	VERB
ddj-78	358	12	the	the	DET
ddj-78	358	13	replacement	replacement	NOUN
ddj-78	358	14	of	of	ADP
ddj-78	358	15	one	one	NUM
ddj-78	358	16	edge	edge	NOUN
ddj-78	358	17	from	from	ADP
ddj-78	358	18	the	the	DET
ddj-78	358	19	base	base	NOUN
ddj-78	358	20	triangle	triangle	NOUN
ddj-78	358	21	with	with	ADP
ddj-78	358	22	wedge	wedge	NOUN
ddj-78	358	23	visiting	visit	VERB
ddj-78	358	24	the	the	DET
ddj-78	358	25	additional	additional	ADJ
ddj-78	358	26	vertex	vertex	NOUN
ddj-78	358	27	.	.	PUNCT
ddj-78	359	1	there	there	PRON
ddj-78	359	2	are	be	VERB
ddj-78	359	3	several	several	ADJ
ddj-78	359	4	cases	case	NOUN
ddj-78	359	5	to	to	PART
ddj-78	359	6	be	be	AUX
ddj-78	359	7	considered	consider	VERB
ddj-78	359	8	depending	depend	VERB
ddj-78	359	9	on	on	ADP
ddj-78	359	10	whether	whether	SCONJ
ddj-78	359	11	the	the	DET
ddj-78	359	12	base	base	NOUN
ddj-78	359	13	triangle	triangle	NOUN
ddj-78	359	14	is	be	AUX
ddj-78	359	15	1	1	NUM
ddj-78	359	16	-	-	PUNCT
ddj-78	359	17	quint	quint	NOUN
ddj-78	359	18	triangle	triangle	NOUN
ddj-78	359	19	or	or	CCONJ
ddj-78	359	20	2	2	NUM
ddj-78	359	21	-	-	PUNCT
ddj-78	359	22	quint	quint	NOUN
ddj-78	359	23	triangle	triangle	NOUN
ddj-78	359	24	,	,	PUNCT
ddj-78	359	25	and	and	CCONJ
ddj-78	359	26	what	what	PRON
ddj-78	359	27	is	be	AUX
ddj-78	359	28	the	the	DET
ddj-78	359	29	type	type	NOUN
ddj-78	359	30	of	of	ADP
ddj-78	359	31	the	the	DET
ddj-78	359	32	edge	edge	NOUN
ddj-78	359	33	replaced	replace	VERB
ddj-78	359	34	with	with	ADP
ddj-78	359	35	wedge	wedge	NOUN
ddj-78	359	36	.	.	PUNCT
ddj-78	360	1	one	one	PRON
ddj-78	360	2	can	can	AUX
ddj-78	360	3	even	even	ADV
ddj-78	360	4	consider	consider	VERB
ddj-78	360	5	the	the	DET
ddj-78	360	6	possibility	possibility	NOUN
ddj-78	360	7	that	that	SCONJ
ddj-78	360	8	the	the	DET
ddj-78	360	9	modified	modify	VERB
ddj-78	360	10	cycle	cycle	NOUN
ddj-78	360	11	does	do	AUX
ddj-78	360	12	not	not	PART
ddj-78	360	13	remain	remain	VERB
ddj-78	360	14	closed	closed	ADJ
ddj-78	360	15	.	.	PUNCT
ddj-78	361	1	if	if	SCONJ
ddj-78	361	2	the	the	DET
ddj-78	361	3	icosahedral	icosahedral	ADJ
ddj-78	361	4	cycle	cycle	NOUN
ddj-78	361	5	has	have	VERB
ddj-78	361	6	(	(	PUNCT
ddj-78	361	7	n0	n0	ADJ
ddj-78	361	8	,	,	PUNCT
ddj-78	361	9	n1	n1	NOUN
ddj-78	361	10	,	,	PUNCT
ddj-78	361	11	n2	n2	NOUN
ddj-78	361	12	)	)	PUNCT
ddj-78	361	13	=	=	PUNCT
ddj-78	361	14	(	(	PUNCT
ddj-78	361	15	3	3	NUM
ddj-78	361	16	,	,	PUNCT
ddj-78	361	17	10	10	NUM
ddj-78	361	18	,	,	PUNCT
ddj-78	361	19	7	7	NUM
ddj-78	361	20	)	)	PUNCT
ddj-78	361	21	,	,	PUNCT
ddj-78	361	22	the	the	DET
ddj-78	361	23	value	value	NOUN
ddj-78	361	24	of	of	ADP
ddj-78	361	25	n2	n2	NOUN
ddj-78	361	26	is	be	AUX
ddj-78	361	27	not	not	PART
ddj-78	361	28	changed	change	VERB
ddj-78	361	29	in	in	ADP
ddj-78	361	30	the	the	DET
ddj-78	361	31	construction	construction	NOUN
ddj-78	361	32	.	.	PUNCT
ddj-78	362	1	for	for	ADP
ddj-78	362	2	a	a	DET
ddj-78	362	3	closed	closed	ADJ
ddj-78	362	4	cycle	cycle	NOUN
ddj-78	362	5	edge	edge	NOUN
ddj-78	362	6	is	be	AUX
ddj-78	362	7	replaced	replace	VERB
ddj-78	362	8	with	with	ADP
ddj-78	362	9	wedge	wedge	NOUN
ddj-78	362	10	and	and	CCONJ
ddj-78	362	11	the	the	DET
ddj-78	362	12	only	only	ADJ
ddj-78	362	13	manner	manner	NOUN
ddj-78	362	14	to	to	PART
ddj-78	362	15	preserve	preserve	VERB
ddj-78	362	16	the	the	DET
ddj-78	362	17	value	value	NOUN
ddj-78	362	18	of	of	ADP
ddj-78	362	19	n2	n2	NOUN
ddj-78	362	20	is	be	AUX
ddj-78	362	21	that	that	SCONJ
ddj-78	362	22	the	the	DET
ddj-78	362	23	process	process	NOUN
ddj-78	362	24	producing	produce	VERB
ddj-78	362	25	1	1	NUM
ddj-78	362	26	tetrahedral	tetrahedral	ADJ
ddj-78	362	27	2	2	NUM
ddj-78	362	28	-	-	PUNCT
ddj-78	362	29	quint	quint	NOUN
ddj-78	362	30	triangle	triangle	NOUN
ddj-78	362	31	transforms	transform	VERB
ddj-78	362	32	1	1	NUM
ddj-78	362	33	icosahedral	icosahedral	ADJ
ddj-78	362	34	2	2	NUM
ddj-78	362	35	-	-	PUNCT
ddj-78	362	36	quint	quint	NOUN
ddj-78	362	37	triangle	triangle	NOUN
ddj-78	362	38	identified	identify	VERB
ddj-78	362	39	as	as	ADP
ddj-78	362	40	base	base	NOUN
ddj-78	362	41	triangle	triangle	NOUN
ddj-78	362	42	to	to	ADP
ddj-78	362	43	1	1	NUM
ddj-78	362	44	-	-	PUNCT
ddj-78	362	45	quint	quint	NOUN
ddj-78	362	46	triangle	triangle	NOUN
ddj-78	362	47	.	.	PUNCT
ddj-78	363	1	if	if	SCONJ
ddj-78	363	2	the	the	DET
ddj-78	363	3	replaced	replace	VERB
ddj-78	363	4	edge	edge	NOUN
ddj-78	363	5	of	of	ADP
ddj-78	363	6	base	base	NOUN
ddj-78	363	7	triangle	triangle	NOUN
ddj-78	363	8	is	be	AUX
ddj-78	363	9	of	of	ADP
ddj-78	363	10	type	type	NOUN
ddj-78	363	11	2	2	NUM
ddj-78	363	12	-	-	SYM
ddj-78	363	13	1	1	NUM
ddj-78	363	14	,	,	PUNCT
ddj-78	363	15	one	one	PRON
ddj-78	363	16	has	have	VERB
ddj-78	363	17	n1	n1	NOUN
ddj-78	363	18	→	→	SYM
ddj-78	363	19	n1	n1	NOUN
ddj-78	363	20	+	+	CCONJ
ddj-78	363	21	1	1	NUM
ddj-78	363	22	since	since	SCONJ
ddj-78	363	23	one	one	NUM
ddj-78	363	24	icosahedral	icosahedral	ADJ
ddj-78	363	25	1	1	NUM
ddj-78	363	26	-	-	PUNCT
ddj-78	363	27	quint	quint	NOUN
ddj-78	363	28	triangle	triangle	NOUN
ddj-78	363	29	disappears	disappear	VERB
ddj-78	363	30	and	and	CCONJ
ddj-78	363	31	2	2	NUM
ddj-78	363	32	tetrahedral	tetrahedral	ADJ
ddj-78	363	33	ones	one	NOUN
ddj-78	363	34	appear	appear	VERB
ddj-78	363	35	.	.	PUNCT
ddj-78	364	1	icosahedral	icosahedral	ADJ
ddj-78	364	2	n0	n0	ADJ
ddj-78	364	3	increases	increase	NOUN
ddj-78	364	4	by	by	ADP
ddj-78	364	5	1	1	NUM
ddj-78	364	6	units	unit	NOUN
ddj-78	364	7	.	.	PUNCT
ddj-78	365	1	hence	hence	ADV
ddj-78	365	2	the	the	DET
ddj-78	365	3	condition	condition	NOUN
ddj-78	365	4	(	(	PUNCT
ddj-78	365	5	3	3	NUM
ddj-78	365	6	,	,	PUNCT
ddj-78	365	7	10	10	NUM
ddj-78	365	8	,	,	PUNCT
ddj-78	365	9	7	7	NUM
ddj-78	365	10	)	)	PUNCT
ddj-78	365	11	→	→	X
ddj-78	365	12	(	(	PUNCT
ddj-78	365	13	4	4	NUM
ddj-78	365	14	,	,	PUNCT
ddj-78	365	15	11	11	NUM
ddj-78	365	16	,	,	PUNCT
ddj-78	365	17	7	7	NUM
ddj-78	365	18	)	)	PUNCT
ddj-78	365	19	would	would	AUX
ddj-78	365	20	be	be	AUX
ddj-78	365	21	met	meet	VERB
ddj-78	365	22	.	.	PUNCT
ddj-78	366	1	it	it	PRON
ddj-78	366	2	however	however	ADV
ddj-78	366	3	seems	seem	VERB
ddj-78	366	4	that	that	SCONJ
ddj-78	366	5	(	(	PUNCT
ddj-78	366	6	4	4	NUM
ddj-78	366	7	,	,	PUNCT
ddj-78	366	8	8	8	NUM
ddj-78	366	9	,	,	PUNCT
ddj-78	366	10	8)	8)	NUM
ddj-78	366	11	is	be	AUX
ddj-78	366	12	more	more	ADV
ddj-78	366	13	promising	promising	ADJ
ddj-78	366	14	starting	starting	NOUN
ddj-78	366	15	cycle	cycle	NOUN
ddj-78	366	16	as	as	ADP
ddj-78	366	17	the	the	DET
ddj-78	366	18	argument	argument	NOUN
ddj-78	366	19	below	below	ADP
ddj-78	366	20	shows	show	NOUN
ddj-78	366	21	.	.	PUNCT
ddj-78	367	1	3	3	X
ddj-78	367	2	.	.	X
ddj-78	367	3	the	the	DET
ddj-78	367	4	number	number	NOUN
ddj-78	367	5	options	option	NOUN
ddj-78	367	6	is	be	AUX
ddj-78	367	7	at	at	ADP
ddj-78	367	8	most	most	ADJ
ddj-78	367	9	the	the	DET
ddj-78	367	10	number	number	NOUN
ddj-78	367	11	n2	n2	NOUN
ddj-78	367	12	of	of	ADP
ddj-78	367	13	2	2	NUM
ddj-78	367	14	-	-	PUNCT
ddj-78	367	15	quint	quint	NOUN
ddj-78	367	16	triangles	triangle	NOUN
ddj-78	367	17	serving	serve	VERB
ddj-78	367	18	as	as	ADP
ddj-78	367	19	candidates	candidate	NOUN
ddj-78	367	20	for	for	ADP
ddj-78	367	21	”	"	PUNCT
ddj-78	367	22	empty	empty	ADJ
ddj-78	367	23	”	"	PUNCT
ddj-78	367	24	amino	amino	NOUN
ddj-78	367	25	-	-	PUNCT
ddj-78	367	26	acid	acid	NOUN
ddj-78	367	27	.	.	PUNCT
ddj-78	368	1	an	an	DET
ddj-78	368	2	additional	additional	ADJ
ddj-78	368	3	condition	condition	NOUN
ddj-78	368	4	comes	come	VERB
ddj-78	368	5	from	from	ADP
ddj-78	368	6	the	the	DET
ddj-78	368	7	requirement	requirement	NOUN
ddj-78	368	8	that	that	PRON
ddj-78	368	9	replaced	replace	VERB
ddj-78	368	10	edge	edge	NOUN
ddj-78	368	11	is	be	AUX
ddj-78	368	12	of	of	ADP
ddj-78	368	13	type	type	NOUN
ddj-78	368	14	2	2	NUM
ddj-78	368	15	-	-	SYM
ddj-78	368	16	1	1	NUM
ddj-78	368	17	.	.	PUNCT
ddj-78	368	18	3.2.4	3.2.4	NUM
ddj-78	368	19	direct	direct	ADJ
ddj-78	368	20	construction	construction	NOUN
ddj-78	368	21	of	of	ADP
ddj-78	368	22	hamiltonian	hamiltonian	ADJ
ddj-78	368	23	cycle	cycle	NOUN
ddj-78	368	24	corresponding	correspond	VERB
ddj-78	368	25	to	to	PART
ddj-78	368	26	bioharmony	bioharmony	ADV
ddj-78	368	27	consider	consider	VERB
ddj-78	368	28	bio	bio	NOUN
ddj-78	368	29	-	-	NOUN
ddj-78	368	30	harmony	harmony	NOUN
ddj-78	368	31	as	as	ADP
ddj-78	368	32	an	an	DET
ddj-78	368	33	example	example	NOUN
ddj-78	368	34	about	about	ADP
ddj-78	368	35	hamiltonian	hamiltonian	ADJ
ddj-78	368	36	cycle	cycle	NOUN
ddj-78	368	37	taking	take	VERB
ddj-78	368	38	seriously	seriously	ADV
ddj-78	368	39	the	the	DET
ddj-78	368	40	extension	extension	NOUN
ddj-78	368	41	of	of	ADP
ddj-78	368	42	the	the	DET
ddj-78	368	43	genetic	genetic	ADJ
ddj-78	368	44	code	code	NOUN
ddj-78	368	45	.	.	PUNCT
ddj-78	369	1	i	i	PRON
ddj-78	369	2	have	have	AUX
ddj-78	369	3	made	make	VERB
ddj-78	369	4	very	very	ADV
ddj-78	369	5	many	many	ADJ
ddj-78	369	6	unsuccessful	unsuccessful	ADJ
ddj-78	369	7	triangles	triangle	NOUN
ddj-78	369	8	starting	start	VERB
ddj-78	369	9	from	from	ADP
ddj-78	369	10	the	the	DET
ddj-78	369	11	assumption	assumption	NOUN
ddj-78	369	12	that	that	SCONJ
ddj-78	369	13	icosahedral	icosahedral	ADJ
ddj-78	369	14	cycle	cycle	NOUN
ddj-78	369	15	isbn	isbn	NOUN
ddj-78	369	16	:	:	PUNCT
ddj-78	369	17	2159	2159	NUM
ddj-78	369	18	-	-	PUNCT
ddj-78	369	19	046x	046x	NOUN
ddj-78	369	20	dna	dna	NOUN
ddj-78	369	21	decipher	decipher	PROPN
ddj-78	369	22	journal	journal	PROPN
ddj-78	369	23	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	369	24	published	publish	VERB
ddj-78	369	25	by	by	ADP
ddj-78	369	26	quantumdream	quantumdream	PROPN
ddj-78	369	27	,	,	PUNCT
ddj-78	369	28	inc	inc	PROPN
ddj-78	369	29	.	.	PROPN
ddj-78	369	30	dna	dna	PROPN
ddj-78	369	31	decipher	decipher	PROPN
ddj-78	369	32	journal	journal	PROPN
ddj-78	369	33	|	|	ADV
ddj-78	369	34	october	october	PROPN
ddj-78	369	35	2014	2014	NUM
ddj-78	370	1	|	|	ADV
ddj-78	370	2	volume	volume	NOUN
ddj-78	370	3	4	4	NUM
ddj-78	370	4	|	|	NOUN
ddj-78	370	5	issue	issue	VERB
ddj-78	370	6	2	2	NUM
ddj-78	370	7	|	|	CCONJ
ddj-78	370	8	pp	pp	ADJ
ddj-78	370	9	.	.	PUNCT
ddj-78	371	1	141	141	NUM
ddj-78	371	2	-	-	SYM
ddj-78	371	3	160	160	NUM
ddj-78	371	4	154	154	NUM
ddj-78	371	5	pitkänen	pitkänen	NOUN
ddj-78	371	6	,	,	PUNCT
ddj-78	371	7	m.	m.	NOUN
ddj-78	371	8	pythagoras	pythagoras	PROPN
ddj-78	371	9	,	,	PUNCT
ddj-78	371	10	music	music	NOUN
ddj-78	371	11	,	,	PUNCT
ddj-78	371	12	sacred	sacred	ADJ
ddj-78	371	13	geometry	geometry	NOUN
ddj-78	371	14	and	and	CCONJ
ddj-78	371	15	genetic	genetic	ADJ
ddj-78	371	16	code	code	NOUN
ddj-78	371	17	figure	figure	NOUN
ddj-78	371	18	5	5	NUM
ddj-78	371	19	:	:	PUNCT
ddj-78	371	20	the	the	DET
ddj-78	371	21	modification	modification	NOUN
ddj-78	371	22	of	of	ADP
ddj-78	371	23	(	(	PUNCT
ddj-78	371	24	4	4	NUM
ddj-78	371	25	,	,	PUNCT
ddj-78	371	26	4	4	NUM
ddj-78	371	27	,	,	PUNCT
ddj-78	371	28	8)	8)	NUM
ddj-78	371	29	icosahedral	icosahedral	ADJ
ddj-78	371	30	hamiltonian	hamiltonian	ADJ
ddj-78	371	31	cycle	cycle	NOUN
ddj-78	371	32	consistent	consistent	ADJ
ddj-78	371	33	with	with	ADP
ddj-78	371	34	the	the	DET
ddj-78	371	35	constraints	constraint	NOUN
ddj-78	371	36	that	that	PRON
ddj-78	371	37	icosatetrahedral	icosatetrahedral	ADJ
ddj-78	371	38	cycle	cycle	NOUN
ddj-78	371	39	corresponds	correspond	VERB
ddj-78	371	40	to	to	ADP
ddj-78	371	41	(	(	PUNCT
ddj-78	371	42	4	4	NUM
ddj-78	371	43	,	,	PUNCT
ddj-78	371	44	11	11	NUM
ddj-78	371	45	,	,	PUNCT
ddj-78	371	46	7	7	X
ddj-78	371	47	)	)	PUNCT
ddj-78	371	48	consistent	consistent	VERB
ddj-78	371	49	the	the	DET
ddj-78	371	50	classification	classification	NOUN
ddj-78	371	51	of	of	ADP
ddj-78	371	52	amino	amino	NOUN
ddj-78	371	53	-	-	PUNCT
ddj-78	371	54	acids	acid	NOUN
ddj-78	371	55	in	in	ADP
ddj-78	371	56	three	three	NUM
ddj-78	371	57	classes	class	NOUN
ddj-78	371	58	.	.	PUNCT
ddj-78	372	1	satisfies	satisfie	NOUN
ddj-78	372	2	(	(	PUNCT
ddj-78	372	3	n0	n0	ADJ
ddj-78	372	4	,	,	PUNCT
ddj-78	372	5	n1	n1	NOUN
ddj-78	372	6	,	,	PUNCT
ddj-78	372	7	n2	n2	NOUN
ddj-78	372	8	)	)	PUNCT
ddj-78	372	9	=	=	PUNCT
ddj-78	372	10	(	(	PUNCT
ddj-78	372	11	3	3	NUM
ddj-78	372	12	,	,	PUNCT
ddj-78	372	13	10	10	NUM
ddj-78	372	14	,	,	PUNCT
ddj-78	372	15	7	7	NUM
ddj-78	372	16	)	)	PUNCT
ddj-78	372	17	,	,	PUNCT
ddj-78	372	18	and	and	CCONJ
ddj-78	372	19	the	the	DET
ddj-78	372	20	following	follow	VERB
ddj-78	372	21	proposal	proposal	NOUN
ddj-78	372	22	starts	start	VERB
ddj-78	372	23	from	from	ADP
ddj-78	372	24	different	different	ADJ
ddj-78	372	25	icosahedral	icosahedral	ADJ
ddj-78	372	26	cycle	cycle	NOUN
ddj-78	372	27	.	.	PUNCT
ddj-78	373	1	the	the	DET
ddj-78	373	2	following	follow	VERB
ddj-78	373	3	is	be	AUX
ddj-78	373	4	just	just	ADV
ddj-78	373	5	a	a	DET
ddj-78	373	6	trial	trial	NOUN
ddj-78	373	7	,	,	PUNCT
ddj-78	373	8	which	which	PRON
ddj-78	373	9	should	should	AUX
ddj-78	373	10	be	be	AUX
ddj-78	373	11	checked	check	VERB
ddj-78	373	12	by	by	ADP
ddj-78	373	13	a	a	DET
ddj-78	373	14	direct	direct	ADJ
ddj-78	373	15	calculation	calculation	NOUN
ddj-78	373	16	.	.	PUNCT
ddj-78	374	1	1	1	X
ddj-78	374	2	.	.	X
ddj-78	374	3	the	the	DET
ddj-78	374	4	most	most	ADV
ddj-78	374	5	obvious	obvious	ADJ
ddj-78	374	6	guess	guess	NOUN
ddj-78	374	7	for	for	SCONJ
ddj-78	374	8	the	the	DET
ddj-78	374	9	cycle	cycle	NOUN
ddj-78	374	10	to	to	PART
ddj-78	374	11	be	be	AUX
ddj-78	374	12	modified	modify	VERB
ddj-78	374	13	to	to	PART
ddj-78	374	14	cycle	cycle	VERB
ddj-78	374	15	at	at	ADP
ddj-78	374	16	icosatetrahedron	icosatetrahedron	NOUN
ddj-78	374	17	having	have	VERB
ddj-78	374	18	(	(	PUNCT
ddj-78	374	19	n0	n0	ADJ
ddj-78	374	20	,	,	PUNCT
ddj-78	374	21	n1	n1	NOUN
ddj-78	374	22	,	,	PUNCT
ddj-78	374	23	n2	n2	NOUN
ddj-78	374	24	)	)	PUNCT
ddj-78	374	25	=	=	PUNCT
ddj-78	374	26	(	(	PUNCT
ddj-78	374	27	4	4	NUM
ddj-78	374	28	,	,	PUNCT
ddj-78	374	29	11	11	NUM
ddj-78	374	30	,	,	PUNCT
ddj-78	374	31	7	7	NUM
ddj-78	374	32	)	)	PUNCT
ddj-78	374	33	(	(	PUNCT
ddj-78	374	34	the	the	DET
ddj-78	374	35	triangle	triangle	NOUN
ddj-78	374	36	corresponding	correspond	VERB
ddj-78	374	37	to	to	ADP
ddj-78	374	38	”	"	PUNCT
ddj-78	374	39	empty	empty	ADJ
ddj-78	374	40	”	"	PUNCT
ddj-78	374	41	amino	amino	NOUN
ddj-78	374	42	-	-	PUNCT
ddj-78	374	43	acid	acid	NOUN
ddj-78	374	44	is	be	AUX
ddj-78	374	45	not	not	PART
ddj-78	374	46	counted	count	VERB
ddj-78	374	47	)	)	PUNCT
ddj-78	374	48	is	be	AUX
ddj-78	374	49	(	(	PUNCT
ddj-78	374	50	n1	n1	NOUN
ddj-78	374	51	,	,	PUNCT
ddj-78	374	52	n2	n2	NOUN
ddj-78	374	53	,	,	PUNCT
ddj-78	374	54	n3	n3	NOUN
ddj-78	374	55	)	)	PUNCT
ddj-78	374	56	=	=	PUNCT
ddj-78	374	57	(	(	PUNCT
ddj-78	374	58	3	3	NUM
ddj-78	374	59	,	,	PUNCT
ddj-78	374	60	10	10	NUM
ddj-78	374	61	,	,	PUNCT
ddj-78	374	62	7	7	NUM
ddj-78	374	63	)	)	PUNCT
ddj-78	374	64	.	.	PUNCT
ddj-78	375	1	i	i	PRON
ddj-78	375	2	have	have	AUX
ddj-78	375	3	not	not	PART
ddj-78	375	4	found	find	VERB
ddj-78	375	5	cycle	cycle	NOUN
ddj-78	375	6	with	with	ADP
ddj-78	375	7	these	these	DET
ddj-78	375	8	characteristics	characteristic	NOUN
ddj-78	375	9	.	.	PUNCT
ddj-78	376	1	2	2	X
ddj-78	376	2	.	.	X
ddj-78	376	3	it	it	PRON
ddj-78	376	4	seems	seem	VERB
ddj-78	376	5	however	however	ADV
ddj-78	376	6	possible	possible	ADJ
ddj-78	376	7	to	to	PART
ddj-78	376	8	find	find	VERB
ddj-78	376	9	cycle	cycle	NOUN
ddj-78	376	10	with	with	ADP
ddj-78	376	11	(	(	PUNCT
ddj-78	376	12	n1	n1	NOUN
ddj-78	376	13	,	,	PUNCT
ddj-78	376	14	n2	n2	NOUN
ddj-78	376	15	,	,	PUNCT
ddj-78	376	16	n3	n3	NOUN
ddj-78	376	17	)	)	PUNCT
ddj-78	376	18	=	=	PUNCT
ddj-78	376	19	(	(	PUNCT
ddj-78	376	20	4	4	NUM
ddj-78	376	21	,	,	PUNCT
ddj-78	376	22	8	8	NUM
ddj-78	376	23	,	,	PUNCT
ddj-78	376	24	8)	8)	NUM
ddj-78	376	25	.	.	PUNCT
ddj-78	377	1	from	from	ADP
ddj-78	377	2	this	this	PRON
ddj-78	377	3	can	can	AUX
ddj-78	377	4	obtain	obtain	VERB
ddj-78	377	5	the	the	DET
ddj-78	377	6	desired	desire	VERB
ddj-78	377	7	kind	kind	NOUN
ddj-78	377	8	of	of	ADP
ddj-78	377	9	extended	extended	ADJ
ddj-78	377	10	cycle	cycle	NOUN
ddj-78	377	11	if	if	SCONJ
ddj-78	377	12	the	the	DET
ddj-78	377	13	”	"	PUNCT
ddj-78	377	14	empty	empty	ADJ
ddj-78	377	15	”	"	PUNCT
ddj-78	377	16	triangle	triangle	NOUN
ddj-78	377	17	is	be	AUX
ddj-78	377	18	2	2	NUM
ddj-78	377	19	-	-	PUNCT
ddj-78	377	20	quint	quint	NOUN
ddj-78	377	21	triangle	triangle	NOUN
ddj-78	377	22	and	and	CCONJ
ddj-78	377	23	the	the	DET
ddj-78	377	24	edge	edge	NOUN
ddj-78	377	25	replaced	replace	VERB
ddj-78	377	26	with	with	ADP
ddj-78	377	27	the	the	DET
ddj-78	377	28	wedge	wedge	NOUN
ddj-78	377	29	is	be	AUX
ddj-78	377	30	of	of	ADP
ddj-78	377	31	type	type	NOUN
ddj-78	377	32	2	2	NUM
ddj-78	377	33	-	-	SYM
ddj-78	377	34	2	2	NUM
ddj-78	377	35	.	.	PUNCT
ddj-78	378	1	the	the	DET
ddj-78	378	2	replacement	replacement	NOUN
ddj-78	378	3	of	of	ADP
ddj-78	378	4	icosahedral	icosahedral	ADJ
ddj-78	378	5	edge	edge	NOUN
ddj-78	378	6	eliminates	eliminate	VERB
ddj-78	378	7	two	two	NUM
ddj-78	378	8	icosahedral	icosahedral	ADJ
ddj-78	378	9	2	2	NUM
ddj-78	378	10	-	-	PUNCT
ddj-78	378	11	quint	quint	NOUN
ddj-78	378	12	triangles	triangle	NOUN
ddj-78	378	13	and	and	CCONJ
ddj-78	378	14	generates	generate	VERB
ddj-78	378	15	1	1	NUM
ddj-78	378	16	tetrahedral	tetrahedral	ADJ
ddj-78	378	17	2	2	NUM
ddj-78	378	18	-	-	PUNCT
ddj-78	378	19	quint	quint	NOUN
ddj-78	378	20	triangle	triangle	NOUN
ddj-78	378	21	giving	give	VERB
ddj-78	378	22	n2	n2	NOUN
ddj-78	378	23	→	→	SYM
ddj-78	378	24	n2	n2	ADJ
ddj-78	378	25	−	−	PROPN
ddj-78	378	26	2	2	NUM
ddj-78	378	27	+	+	SYM
ddj-78	378	28	1	1	NUM
ddj-78	378	29	=	=	SYM
ddj-78	378	30	n2	n2	NOUN
ddj-78	378	31	−	−	PROPN
ddj-78	378	32	1	1	NUM
ddj-78	378	33	=	=	SYM
ddj-78	378	34	7	7	NUM
ddj-78	378	35	.	.	PUNCT
ddj-78	379	1	the	the	DET
ddj-78	379	2	disappearance	disappearance	NOUN
ddj-78	379	3	of	of	ADP
ddj-78	379	4	the	the	DET
ddj-78	379	5	icosahedral	icosahedral	ADJ
ddj-78	379	6	edge	edge	NOUN
ddj-78	379	7	generates	generate	VERB
ddj-78	379	8	two	two	NUM
ddj-78	379	9	icosahedral	icosahedral	ADJ
ddj-78	379	10	1	1	NUM
ddj-78	379	11	-	-	PUNCT
ddj-78	379	12	quint	quint	NOUN
ddj-78	379	13	triangles	triangle	NOUN
ddj-78	379	14	of	of	ADP
ddj-78	379	15	which	which	PRON
ddj-78	379	16	second	second	ADJ
ddj-78	379	17	one	one	NUM
ddj-78	379	18	corresponds	correspond	VERB
ddj-78	379	19	to	to	ADP
ddj-78	379	20	empty	empty	ADJ
ddj-78	379	21	amino	amino	NOUN
ddj-78	379	22	-	-	PUNCT
ddj-78	379	23	acid	acid	NOUN
ddj-78	379	24	and	and	CCONJ
ddj-78	379	25	is	be	AUX
ddj-78	379	26	not	not	PART
ddj-78	379	27	counted	count	VERB
ddj-78	379	28	and	and	CCONJ
ddj-78	379	29	2	2	NUM
ddj-78	379	30	tetrahedral	tetrahedral	ADJ
ddj-78	379	31	1	1	NUM
ddj-78	379	32	-	-	PUNCT
ddj-78	379	33	quint	quint	NOUN
ddj-78	379	34	triangles	triangle	NOUN
ddj-78	379	35	giving	give	VERB
ddj-78	379	36	n1	n1	PROPN
ddj-78	379	37	→	→	SYM
ddj-78	379	38	n1	n1	PROPN
ddj-78	379	39	+	+	CCONJ
ddj-78	379	40	3	3	NUM
ddj-78	379	41	=	=	SYM
ddj-78	379	42	11	11	NUM
ddj-78	379	43	.	.	PUNCT
ddj-78	380	1	the	the	DET
ddj-78	380	2	figure	figure	NOUN
ddj-78	380	3	below	below	ADV
ddj-78	380	4	represents	represent	VERB
ddj-78	380	5	the	the	DET
ddj-78	380	6	construction	construction	NOUN
ddj-78	380	7	of	of	ADP
ddj-78	380	8	cycle	cycle	NOUN
ddj-78	380	9	(	(	PUNCT
ddj-78	380	10	4	4	NUM
ddj-78	380	11	,	,	PUNCT
ddj-78	380	12	8	8	NUM
ddj-78	380	13	,	,	PUNCT
ddj-78	380	14	8	8	NUM
ddj-78	380	15	,	,	PUNCT
ddj-78	380	16	)	)	PUNCT
ddj-78	380	17	.	.	PUNCT
ddj-78	381	1	the	the	DET
ddj-78	381	2	icosahedron	icosahedron	PROPN
ddj-78	381	3	is	be	AUX
ddj-78	381	4	constructed	construct	VERB
ddj-78	381	5	from	from	ADP
ddj-78	381	6	regions	region	NOUN
ddj-78	381	7	p	p	X
ddj-78	381	8	(	(	PUNCT
ddj-78	381	9	i	i	NOUN
ddj-78	381	10	)	)	PUNCT
ddj-78	381	11	glued	glue	VERB
ddj-78	381	12	to	to	ADP
ddj-78	381	13	the	the	DET
ddj-78	381	14	triangle	triangle	NOUN
ddj-78	381	15	t	t	NOUN
ddj-78	381	16	along	along	ADP
ddj-78	381	17	one	one	NUM
ddj-78	381	18	edge	edge	NOUN
ddj-78	381	19	each	each	PRON
ddj-78	381	20	.	.	PUNCT
ddj-78	382	1	the	the	DET
ddj-78	382	2	arrows	arrow	NOUN
ddj-78	382	3	indicate	indicate	VERB
ddj-78	382	4	that	that	SCONJ
ddj-78	382	5	the	the	DET
ddj-78	382	6	one	one	NUM
ddj-78	382	7	pair	pair	NOUN
ddj-78	382	8	of	of	ADP
ddj-78	382	9	edges	edge	NOUN
ddj-78	382	10	of	of	ADP
ddj-78	382	11	type	type	NOUN
ddj-78	382	12	1	1	NUM
ddj-78	382	13	and	and	CCONJ
ddj-78	382	14	2	2	NUM
ddj-78	382	15	,	,	PUNCT
ddj-78	382	16	1	1	NUM
ddj-78	382	17	and	and	CCONJ
ddj-78	382	18	3	3	NUM
ddj-78	382	19	and	and	CCONJ
ddj-78	382	20	3	3	NUM
ddj-78	382	21	and	and	CCONJ
ddj-78	382	22	2	2	NUM
ddj-78	382	23	are	be	AUX
ddj-78	382	24	identified	identify	VERB
ddj-78	382	25	.	.	PUNCT
ddj-78	383	1	also	also	ADV
ddj-78	383	2	the	the	DET
ddj-78	383	3	long	long	ADJ
ddj-78	383	4	edges	edge	NOUN
ddj-78	383	5	i	i	PRON
ddj-78	383	6	of	of	ADP
ddj-78	383	7	t	t	PROPN
ddj-78	383	8	are	be	AUX
ddj-78	383	9	identified	identify	VERB
ddj-78	383	10	with	with	ADP
ddj-78	383	11	pairs	pair	NOUN
ddj-78	383	12	of	of	ADP
ddj-78	383	13	subsequent	subsequent	ADJ
ddj-78	383	14	edges	edge	NOUN
ddj-78	383	15	of	of	ADP
ddj-78	383	16	p	p	NOUN
ddj-78	383	17	(	(	PUNCT
ddj-78	383	18	i	i	NOUN
ddj-78	383	19	)	)	PUNCT
ddj-78	383	20	as	as	SCONJ
ddj-78	383	21	the	the	DET
ddj-78	383	22	arrows	arrow	NOUN
ddj-78	383	23	indicate	indicate	VERB
ddj-78	383	24	.	.	PUNCT
ddj-78	384	1	3.2.5	3.2.5	NUM
ddj-78	384	2	stopping	stop	VERB
ddj-78	384	3	codons	codon	NOUN
ddj-78	384	4	and	and	CCONJ
ddj-78	384	5	music	music	NOUN
ddj-78	384	6	what	what	PRON
ddj-78	384	7	could	could	AUX
ddj-78	384	8	be	be	AUX
ddj-78	384	9	the	the	DET
ddj-78	384	10	interpretation	interpretation	NOUN
ddj-78	384	11	of	of	ADP
ddj-78	384	12	the	the	DET
ddj-78	384	13	attached	attached	ADJ
ddj-78	384	14	tetrahedron	tetrahedron	NOUN
ddj-78	384	15	in	in	ADP
ddj-78	384	16	terms	term	NOUN
ddj-78	384	17	of	of	ADP
ddj-78	384	18	music	music	NOUN
ddj-78	384	19	harmony	harmony	NOUN
ddj-78	384	20	?	?	PUNCT
ddj-78	385	1	the	the	DET
ddj-78	385	2	attachment	attachment	NOUN
ddj-78	385	3	of	of	ADP
ddj-78	385	4	tetrahedron	tetrahedron	NOUN
ddj-78	385	5	means	mean	VERB
ddj-78	385	6	addition	addition	NOUN
ddj-78	385	7	of	of	ADP
ddj-78	385	8	an	an	DET
ddj-78	385	9	additional	additional	ADJ
ddj-78	385	10	note	note	NOUN
ddj-78	385	11	to	to	ADP
ddj-78	385	12	the	the	DET
ddj-78	385	13	12	12	NUM
ddj-78	385	14	-	-	PUNCT
ddj-78	385	15	note	note	NOUN
ddj-78	385	16	scale	scale	NOUN
ddj-78	385	17	.	.	PUNCT
ddj-78	386	1	the	the	DET
ddj-78	386	2	scale	scale	NOUN
ddj-78	386	3	constructed	construct	VERB
ddj-78	386	4	in	in	ADP
ddj-78	386	5	pythagorean	pythagorean	PROPN
ddj-78	386	6	spirit	spirit	PROPN
ddj-78	386	7	identifying	identify	VERB
ddj-78	386	8	quint	quint	NOUN
ddj-78	386	9	as	as	ADP
ddj-78	386	10	scaling	scale	VERB
ddj-78	386	11	by	by	ADP
ddj-78	386	12	3/2	3/2	NUM
ddj-78	386	13	contains	contain	VERB
ddj-78	386	14	the	the	DET
ddj-78	386	15	12th	12th	ADJ
ddj-78	386	16	note	note	NOUN
ddj-78	386	17	as	as	ADP
ddj-78	386	18	scaling	scale	VERB
ddj-78	386	19	by	by	ADP
ddj-78	386	20	(	(	PUNCT
ddj-78	386	21	3/2)12	3/2)12	NUM
ddj-78	386	22	of	of	ADP
ddj-78	386	23	the	the	DET
ddj-78	386	24	basic	basic	ADJ
ddj-78	386	25	frequency	frequency	NOUN
ddj-78	386	26	modulo	modulo	NOUN
ddj-78	386	27	octave	octave	NOUN
ddj-78	386	28	equivalence	equivalence	NOUN
ddj-78	386	29	.	.	PUNCT
ddj-78	387	1	this	this	PRON
ddj-78	387	2	is	be	AUX
ddj-78	387	3	slightly	slightly	ADV
ddj-78	387	4	more	more	ADJ
ddj-78	387	5	than	than	ADP
ddj-78	387	6	scaling	scale	VERB
ddj-78	387	7	by	by	ADP
ddj-78	387	8	27	27	NUM
ddj-78	387	9	so	so	SCONJ
ddj-78	387	10	that	that	DET
ddj-78	387	11	exact	exact	ADJ
ddj-78	387	12	octave	octave	NOUN
ddj-78	387	13	is	be	AUX
ddj-78	387	14	not	not	PART
ddj-78	387	15	obtained	obtain	VERB
ddj-78	387	16	.	.	PUNCT
ddj-78	388	1	the	the	DET
ddj-78	388	2	attempt	attempt	NOUN
ddj-78	388	3	to	to	PART
ddj-78	388	4	solve	solve	VERB
ddj-78	388	5	this	this	DET
ddj-78	388	6	problem	problem	NOUN
ddj-78	388	7	has	have	AUX
ddj-78	388	8	lead	lead	VERB
ddj-78	388	9	to	to	ADP
ddj-78	388	10	scales	scale	NOUN
ddj-78	388	11	in	in	ADP
ddj-78	388	12	which	which	PRON
ddj-78	388	13	one	one	NOUN
ddj-78	388	14	allows	allow	VERB
ddj-78	388	15	a	a	DET
ddj-78	388	16	pair	pair	NOUN
ddj-78	388	17	of	of	ADP
ddj-78	388	18	notes	note	NOUN
ddj-78	388	19	with	with	ADP
ddj-78	388	20	a	a	DET
ddj-78	388	21	very	very	ADV
ddj-78	388	22	small	small	ADJ
ddj-78	388	23	interval	interval	NOUN
ddj-78	388	24	between	between	ADP
ddj-78	388	25	them	they	PRON
ddj-78	388	26	say	say	VERB
ddj-78	388	27	g	g	NOUN
ddj-78	388	28	#	#	NOUN
ddj-78	388	29	and	and	CCONJ
ddj-78	388	30	ab	ab	PROPN
ddj-78	388	31	being	be	AUX
ddj-78	388	32	regarded	regard	VERB
ddj-78	388	33	as	as	ADP
ddj-78	388	34	different	different	ADJ
ddj-78	388	35	notes	note	NOUN
ddj-78	388	36	.	.	PUNCT
ddj-78	389	1	this	this	PRON
ddj-78	389	2	suggests	suggest	VERB
ddj-78	389	3	that	that	SCONJ
ddj-78	389	4	the	the	DET
ddj-78	389	5	outsider	outsider	NOUN
ddj-78	389	6	vertex	vertex	NOUN
ddj-78	389	7	of	of	ADP
ddj-78	389	8	the	the	DET
ddj-78	389	9	attached	attach	VERB
ddj-78	389	10	tetrahedron	tetrahedron	NOUN
ddj-78	389	11	corresponds	correspond	VERB
ddj-78	389	12	to	to	ADP
ddj-78	389	13	a	a	DET
ddj-78	389	14	note	note	NOUN
ddj-78	389	15	very	very	ADV
ddj-78	389	16	near	near	ADV
ddj-78	389	17	to	to	ADP
ddj-78	389	18	some	some	DET
ddj-78	389	19	note	note	NOUN
ddj-78	389	20	of	of	ADP
ddj-78	389	21	the	the	DET
ddj-78	389	22	12	12	NUM
ddj-78	389	23	-	-	PUNCT
ddj-78	389	24	note	note	NOUN
ddj-78	389	25	scale	scale	NOUN
ddj-78	389	26	.	.	PUNCT
ddj-78	390	1	which	which	PRON
ddj-78	390	2	note	note	VERB
ddj-78	390	3	is	be	AUX
ddj-78	390	4	in	in	ADP
ddj-78	390	5	question	question	NOUN
ddj-78	390	6	depends	depend	VERB
ddj-78	390	7	on	on	ADP
ddj-78	390	8	which	which	PRON
ddj-78	390	9	of	of	ADP
ddj-78	390	10	the	the	DET
ddj-78	390	11	10	10	NUM
ddj-78	390	12	1	1	NUM
ddj-78	390	13	-	-	PUNCT
ddj-78	390	14	quint	quint	NOUN
ddj-78	390	15	triangles	triangle	NOUN
ddj-78	390	16	is	be	AUX
ddj-78	390	17	chosen	choose	VERB
ddj-78	390	18	as	as	ADP
ddj-78	390	19	the	the	DET
ddj-78	390	20	base	base	NOUN
ddj-78	390	21	triangle	triangle	NOUN
ddj-78	390	22	.	.	PUNCT
ddj-78	391	1	this	this	PRON
ddj-78	391	2	is	be	AUX
ddj-78	391	3	expected	expect	VERB
ddj-78	391	4	to	to	PART
ddj-78	391	5	imply	imply	VERB
ddj-78	391	6	additional	additional	ADJ
ddj-78	391	7	refinements	refinement	NOUN
ddj-78	391	8	to	to	ADP
ddj-78	391	9	the	the	DET
ddj-78	391	10	notion	notion	NOUN
ddj-78	391	11	of	of	ADP
ddj-78	391	12	bio	bio	NOUN
ddj-78	391	13	-	-	NOUN
ddj-78	391	14	harmony	harmony	NOUN
ddj-78	391	15	.	.	PUNCT
ddj-78	392	1	2	2	NUM
ddj-78	392	2	or	or	CCONJ
ddj-78	392	3	three	three	NUM
ddj-78	392	4	additional	additional	ADJ
ddj-78	392	5	3	3	NUM
ddj-78	392	6	-	-	PUNCT
ddj-78	392	7	chords	chord	NOUN
ddj-78	392	8	emerge	emerge	VERB
ddj-78	392	9	depending	depend	VERB
ddj-78	392	10	on	on	ADP
ddj-78	392	11	whether	whether	SCONJ
ddj-78	392	12	empty	empty	ADJ
ddj-78	392	13	amino	amino	NOUN
ddj-78	392	14	-	-	PUNCT
ddj-78	392	15	acid	acid	NOUN
ddj-78	392	16	is	be	AUX
ddj-78	392	17	interpreted	interpret	VERB
ddj-78	392	18	as	as	ADP
ddj-78	392	19	a	a	DET
ddj-78	392	20	real	real	ADJ
ddj-78	392	21	chord	chord	NOUN
ddj-78	392	22	.	.	PUNCT
ddj-78	393	1	this	this	PRON
ddj-78	393	2	could	could	AUX
ddj-78	393	3	also	also	ADV
ddj-78	393	4	allow	allow	VERB
ddj-78	393	5	to	to	PART
ddj-78	393	6	understand	understand	VERB
ddj-78	393	7	why	why	SCONJ
ddj-78	393	8	it	it	PRON
ddj-78	393	9	is	be	AUX
ddj-78	393	10	natural	natural	ADJ
ddj-78	393	11	to	to	PART
ddj-78	393	12	have	have	VERB
ddj-78	393	13	non	non	ADJ
ddj-78	393	14	-	-	ADJ
ddj-78	393	15	closed	closed	ADJ
ddj-78	393	16	hamiltonian	hamiltonian	ADJ
ddj-78	393	17	path	path	NOUN
ddj-78	393	18	on	on	ADP
ddj-78	393	19	tetraicosahedron	tetraicosahedron	PROPN
ddj-78	393	20	.	.	PUNCT
ddj-78	394	1	octave	octave	NOUN
ddj-78	394	2	equivalence	equivalence	NOUN
ddj-78	394	3	requiring	require	VERB
ddj-78	394	4	closedness	closedness	NOUN
ddj-78	394	5	indeed	indeed	ADV
ddj-78	394	6	fails	fail	VERB
ddj-78	394	7	in	in	ADP
ddj-78	394	8	pythagorean	pythagorean	PROPN
ddj-78	394	9	scale	scale	NOUN
ddj-78	394	10	.	.	PUNCT
ddj-78	395	1	isbn	isbn	ADJ
ddj-78	395	2	:	:	PUNCT
ddj-78	395	3	2159	2159	NUM
ddj-78	395	4	-	-	PUNCT
ddj-78	395	5	046x	046x	NOUN
ddj-78	395	6	dna	dna	NOUN
ddj-78	395	7	decipher	decipher	PROPN
ddj-78	395	8	journal	journal	PROPN
ddj-78	395	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	395	10	published	publish	VERB
ddj-78	395	11	by	by	ADP
ddj-78	395	12	quantumdream	quantumdream	PROPN
ddj-78	395	13	,	,	PUNCT
ddj-78	395	14	inc	inc	PROPN
ddj-78	395	15	.	.	PROPN
ddj-78	395	16	dna	dna	PROPN
ddj-78	395	17	decipher	decipher	PROPN
ddj-78	395	18	journal	journal	PROPN
ddj-78	396	1	|	|	ADV
ddj-78	396	2	october	october	PROPN
ddj-78	396	3	2014	2014	NUM
ddj-78	396	4	|	|	ADV
ddj-78	396	5	volume	volume	NOUN
ddj-78	396	6	4	4	NUM
ddj-78	396	7	|	|	NOUN
ddj-78	396	8	issue	issue	VERB
ddj-78	396	9	2	2	NUM
ddj-78	396	10	|	|	CCONJ
ddj-78	396	11	pp	pp	ADJ
ddj-78	396	12	.	.	PUNCT
ddj-78	397	1	141	141	NUM
ddj-78	397	2	-	-	SYM
ddj-78	397	3	160	160	NUM
ddj-78	397	4	155	155	NUM
ddj-78	397	5	pitkänen	pitkänen	NOUN
ddj-78	397	6	,	,	PUNCT
ddj-78	397	7	m.	m.	NOUN
ddj-78	397	8	pythagoras	pythagoras	PROPN
ddj-78	397	9	,	,	PUNCT
ddj-78	397	10	music	music	NOUN
ddj-78	397	11	,	,	PUNCT
ddj-78	397	12	sacred	sacred	ADJ
ddj-78	397	13	geometry	geometry	NOUN
ddj-78	397	14	and	and	CCONJ
ddj-78	397	15	genetic	genetic	ADJ
ddj-78	397	16	code	code	NOUN
ddj-78	397	17	figure	figure	NOUN
ddj-78	397	18	6	6	NUM
ddj-78	397	19	:	:	PUNCT
ddj-78	397	20	a	a	DET
ddj-78	397	21	proposal	proposal	NOUN
ddj-78	397	22	for	for	ADP
ddj-78	397	23	a	a	DET
ddj-78	397	24	hamilton	hamilton	PROPN
ddj-78	397	25	cycle	cycle	NOUN
ddj-78	397	26	realizing	realize	VERB
ddj-78	397	27	bio	bio	NOUN
ddj-78	397	28	-	-	NOUN
ddj-78	397	29	harmony	harmony	NOUN
ddj-78	397	30	(	(	PUNCT
ddj-78	397	31	n1	n1	NOUN
ddj-78	397	32	,	,	PUNCT
ddj-78	397	33	n2	n2	NOUN
ddj-78	397	34	,	,	PUNCT
ddj-78	397	35	n3	n3	NOUN
ddj-78	397	36	)	)	PUNCT
ddj-78	397	37	=	=	PUNCT
ddj-78	397	38	(	(	PUNCT
ddj-78	397	39	4	4	NUM
ddj-78	397	40	,	,	PUNCT
ddj-78	397	41	8	8	NUM
ddj-78	397	42	,	,	PUNCT
ddj-78	397	43	8)	8)	NUM
ddj-78	397	44	allowing	allow	VERB
ddj-78	397	45	extension	extension	NOUN
ddj-78	397	46	to	to	ADP
ddj-78	397	47	cycle	cycle	NOUN
ddj-78	397	48	(	(	PUNCT
ddj-78	397	49	3	3	NUM
ddj-78	397	50	,	,	PUNCT
ddj-78	397	51	11	11	NUM
ddj-78	397	52	,	,	PUNCT
ddj-78	397	53	7	7	NUM
ddj-78	397	54	)	)	PUNCT
ddj-78	397	55	on	on	ADP
ddj-78	397	56	tetraicosahedron	tetraicosahedron	NOUN
ddj-78	397	57	.	.	PUNCT
ddj-78	397	58	circled	circle	VERB
ddj-78	397	59	”	"	PUNCT
ddj-78	397	60	0	0	NUM
ddj-78	397	61	”	"	PUNCT
ddj-78	397	62	,	,	PUNCT
ddj-78	397	63	”	"	PUNCT
ddj-78	397	64	1	1	NUM
ddj-78	397	65	”	"	PUNCT
ddj-78	397	66	and	and	CCONJ
ddj-78	397	67	”	"	PUNCT
ddj-78	397	68	2	2	NUM
ddj-78	397	69	”	"	PUNCT
ddj-78	397	70	indicates	indicate	VERB
ddj-78	397	71	whether	whether	SCONJ
ddj-78	397	72	a	a	DET
ddj-78	397	73	given	give	VERB
ddj-78	397	74	small	small	ADJ
ddj-78	397	75	triangle	triangle	NOUN
ddj-78	397	76	is	be	AUX
ddj-78	397	77	0-	0-	PROPN
ddj-78	397	78	,	,	PUNCT
ddj-78	397	79	1-	1-	NUM
ddj-78	397	80	,	,	PUNCT
ddj-78	397	81	or	or	CCONJ
ddj-78	397	82	2	2	NUM
ddj-78	397	83	-	-	PUNCT
ddj-78	397	84	quint	quint	NOUN
ddj-78	397	85	triangle	triangle	NOUN
ddj-78	397	86	.	.	PUNCT
ddj-78	398	1	it	it	PRON
ddj-78	398	2	is	be	AUX
ddj-78	398	3	relatively	relatively	ADV
ddj-78	398	4	easy	easy	ADJ
ddj-78	398	5	to	to	PART
ddj-78	398	6	verify	verify	VERB
ddj-78	398	7	that	that	SCONJ
ddj-78	398	8	the	the	DET
ddj-78	398	9	condition	condition	NOUN
ddj-78	398	10	(	(	PUNCT
ddj-78	398	11	n1	n1	NOUN
ddj-78	398	12	,	,	PUNCT
ddj-78	398	13	n2	n2	NOUN
ddj-78	398	14	,	,	PUNCT
ddj-78	398	15	n3	n3	NOUN
ddj-78	398	16	)	)	PUNCT
ddj-78	398	17	=	=	PUNCT
ddj-78	398	18	(	(	PUNCT
ddj-78	398	19	4	4	NUM
ddj-78	398	20	,	,	PUNCT
ddj-78	398	21	8	8	NUM
ddj-78	398	22	,	,	PUNCT
ddj-78	398	23	8)	8)	NUM
ddj-78	398	24	for	for	ADP
ddj-78	398	25	bio	bio	NOUN
ddj-78	398	26	-	-	NOUN
ddj-78	398	27	harmony	harmony	NOUN
ddj-78	398	28	is	be	AUX
ddj-78	398	29	satisfied	satisfied	ADJ
ddj-78	398	30	.	.	PUNCT
ddj-78	399	1	3.2.6	3.2.6	NUM
ddj-78	399	2	geometric	geometric	ADJ
ddj-78	399	3	description	description	NOUN
ddj-78	399	4	of	of	ADP
ddj-78	399	5	dna	dna	NOUN
ddj-78	399	6	-	-	PUNCT
ddj-78	399	7	amino	amino	ADJ
ddj-78	399	8	-	-	PUNCT
ddj-78	399	9	acid	acid	NOUN
ddj-78	399	10	correspondence	correspondence	NOUN
ddj-78	399	11	the	the	DET
ddj-78	399	12	mathematical	mathematical	ADJ
ddj-78	399	13	structure	structure	NOUN
ddj-78	399	14	which	which	PRON
ddj-78	399	15	suggests	suggest	VERB
ddj-78	399	16	itself	itself	PRON
ddj-78	399	17	is	be	AUX
ddj-78	399	18	already	already	ADV
ddj-78	399	19	familiar	familiar	ADJ
ddj-78	399	20	from	from	ADP
ddj-78	399	21	some	some	DET
ddj-78	399	22	earlier	early	ADJ
ddj-78	399	23	attempts	attempt	NOUN
ddj-78	399	24	to	to	PART
ddj-78	399	25	understand	understand	VERB
ddj-78	399	26	genetic	genetic	ADJ
ddj-78	399	27	code	code	NOUN
ddj-78	400	1	[	[	X
ddj-78	400	2	8	8	NUM
ddj-78	400	3	]	]	PUNCT
ddj-78	400	4	.	.	PUNCT
ddj-78	401	1	for	for	ADP
ddj-78	401	2	icosahedral	icosahedral	ADJ
ddj-78	401	3	part	part	NOUN
ddj-78	401	4	of	of	ADP
ddj-78	401	5	code	code	NOUN
ddj-78	401	6	one	one	PRON
ddj-78	401	7	would	would	AUX
ddj-78	401	8	have	have	VERB
ddj-78	401	9	a	a	DET
ddj-78	401	10	discrete	discrete	ADJ
ddj-78	401	11	bundle	bundle	NOUN
ddj-78	401	12	structure	structure	NOUN
ddj-78	401	13	with	with	ADP
ddj-78	401	14	20	20	NUM
ddj-78	401	15	amino	amino	NOUN
ddj-78	401	16	-	-	PUNCT
ddj-78	401	17	acids	acid	NOUN
ddj-78	401	18	defining	define	VERB
ddj-78	401	19	the	the	DET
ddj-78	401	20	base	base	NOUN
ddj-78	401	21	space	space	NOUN
ddj-78	401	22	and	and	CCONJ
ddj-78	401	23	codons	codon	NOUN
ddj-78	401	24	coding	code	VERB
ddj-78	401	25	the	the	DET
ddj-78	401	26	amino	amino	NOUN
ddj-78	401	27	-	-	PUNCT
ddj-78	401	28	acid	acid	NOUN
ddj-78	401	29	forming	form	VERB
ddj-78	401	30	the	the	DET
ddj-78	401	31	fiber	fiber	NOUN
ddj-78	401	32	.	.	PUNCT
ddj-78	402	1	the	the	DET
ddj-78	402	2	number	number	NOUN
ddj-78	402	3	of	of	ADP
ddj-78	402	4	points	point	NOUN
ddj-78	402	5	in	in	ADP
ddj-78	402	6	the	the	DET
ddj-78	402	7	fiber	fiber	NOUN
ddj-78	402	8	above	above	ADP
ddj-78	402	9	based	base	VERB
ddj-78	402	10	point	point	NOUN
ddj-78	402	11	depends	depend	VERB
ddj-78	402	12	on	on	ADP
ddj-78	402	13	base	base	NOUN
ddj-78	402	14	point	point	NOUN
ddj-78	402	15	and	and	CCONJ
ddj-78	402	16	is	be	AUX
ddj-78	402	17	the	the	DET
ddj-78	402	18	number	number	NOUN
ddj-78	402	19	of	of	ADP
ddj-78	402	20	codons	codon	NOUN
ddj-78	402	21	coding	code	VERB
ddj-78	402	22	the	the	DET
ddj-78	402	23	corresponding	corresponding	ADJ
ddj-78	402	24	amino	amino	NOUN
ddj-78	402	25	-	-	PUNCT
ddj-78	402	26	acid	acid	NOUN
ddj-78	402	27	.	.	PUNCT
ddj-78	403	1	a	a	DET
ddj-78	403	2	discrete	discrete	ADJ
ddj-78	403	3	variant	variant	NOUN
ddj-78	403	4	of	of	ADP
ddj-78	403	5	singular	singular	ADJ
ddj-78	403	6	fiber	fiber	NOUN
ddj-78	403	7	bundle	bundle	NOUN
ddj-78	403	8	structure	structure	NOUN
ddj-78	403	9	would	would	AUX
ddj-78	403	10	be	be	AUX
ddj-78	403	11	in	in	ADP
ddj-78	403	12	question	question	NOUN
ddj-78	403	13	.	.	PUNCT
ddj-78	404	1	forgetting	forget	VERB
ddj-78	404	2	for	for	ADP
ddj-78	404	3	a	a	DET
ddj-78	404	4	moment	moment	NOUN
ddj-78	404	5	the	the	DET
ddj-78	404	6	4	4	NUM
ddj-78	404	7	troublesome	troublesome	ADJ
ddj-78	404	8	codons	codon	NOUN
ddj-78	404	9	,	,	PUNCT
ddj-78	404	10	the	the	DET
ddj-78	404	11	bundle	bundle	NOUN
ddj-78	404	12	would	would	AUX
ddj-78	404	13	be	be	AUX
ddj-78	404	14	the	the	DET
ddj-78	404	15	union	union	NOUN
ddj-78	404	16	of	of	ADP
ddj-78	404	17	the	the	DET
ddj-78	404	18	orbits	orbit	NOUN
ddj-78	404	19	associated	associate	VERB
ddj-78	404	20	with	with	ADP
ddj-78	404	21	groups	group	NOUN
ddj-78	404	22	s3	s3	PROPN
ddj-78	404	23	,	,	PUNCT
ddj-78	404	24	z4	z4	PROPN
ddj-78	404	25	and	and	CCONJ
ddj-78	404	26	z2	z2	PROPN
ddj-78	404	27	of	of	ADP
ddj-78	404	28	icosahedral	icosahedral	ADJ
ddj-78	404	29	group	group	NOUN
ddj-78	404	30	,	,	PUNCT
ddj-78	404	31	and	and	CCONJ
ddj-78	404	32	the	the	DET
ddj-78	404	33	base	base	NOUN
ddj-78	404	34	would	would	AUX
ddj-78	404	35	consist	consist	VERB
ddj-78	404	36	of	of	ADP
ddj-78	404	37	20	20	NUM
ddj-78	404	38	amino	amino	NOUN
ddj-78	404	39	-	-	PUNCT
ddj-78	404	40	acids	acid	NOUN
ddj-78	404	41	,	,	PUNCT
ddj-78	404	42	one	one	NUM
ddj-78	404	43	for	for	ADP
ddj-78	404	44	each	each	DET
ddj-78	404	45	orbit	orbit	NOUN
ddj-78	404	46	.	.	PUNCT
ddj-78	405	1	the	the	DET
ddj-78	405	2	point	point	NOUN
ddj-78	405	3	of	of	ADP
ddj-78	405	4	orbit	orbit	NOUN
ddj-78	405	5	must	must	AUX
ddj-78	405	6	be	be	AUX
ddj-78	405	7	selected	select	VERB
ddj-78	405	8	so	so	SCONJ
ddj-78	405	9	that	that	SCONJ
ddj-78	405	10	the	the	DET
ddj-78	405	11	selections	selection	NOUN
ddj-78	405	12	for	for	ADP
ddj-78	405	13	orbits	orbit	NOUN
ddj-78	405	14	of	of	ADP
ddj-78	405	15	two	two	NUM
ddj-78	405	16	different	different	ADJ
ddj-78	405	17	groups	group	NOUN
ddj-78	405	18	are	be	AUX
ddj-78	405	19	different	different	ADJ
ddj-78	405	20	.	.	PUNCT
ddj-78	406	1	the	the	DET
ddj-78	406	2	addition	addition	NOUN
ddj-78	406	3	of	of	ADP
ddj-78	406	4	the	the	DET
ddj-78	406	5	additional	additional	ADJ
ddj-78	406	6	codons	codon	NOUN
ddj-78	406	7	,	,	PUNCT
ddj-78	406	8	empty	empty	ADJ
ddj-78	406	9	aminoacid	aminoacid	NOUN
ddj-78	406	10	and	and	CCONJ
ddj-78	406	11	two	two	NUM
ddj-78	406	12	exotic	exotic	ADJ
ddj-78	406	13	amino	amino	NOUN
ddj-78	406	14	-	-	PUNCT
ddj-78	406	15	acids	acid	NOUN
ddj-78	406	16	would	would	AUX
ddj-78	406	17	mean	mean	VERB
ddj-78	406	18	gluing	gluing	NOUN
ddj-78	406	19	of	of	ADP
ddj-78	406	20	tetrahedron	tetrahedron	NOUN
ddj-78	406	21	along	along	ADP
ddj-78	406	22	one	one	NUM
ddj-78	406	23	of	of	ADP
ddj-78	406	24	its	its	PRON
ddj-78	406	25	faces	face	NOUN
ddj-78	406	26	to	to	PART
ddj-78	406	27	icosahedron	icosahedron	PROPN
ddj-78	406	28	.	.	PUNCT
ddj-78	407	1	this	this	PRON
ddj-78	407	2	would	would	AUX
ddj-78	407	3	induce	induce	VERB
ddj-78	407	4	extension	extension	NOUN
ddj-78	407	5	of	of	ADP
ddj-78	407	6	the	the	DET
ddj-78	407	7	singular	singular	PROPN
ddj-78	407	8	bundle	bundle	NOUN
ddj-78	407	9	like	like	ADP
ddj-78	407	10	structure	structure	NOUN
ddj-78	407	11	.	.	PUNCT
ddj-78	408	1	to	to	ADP
ddj-78	408	2	each	each	PRON
ddj-78	408	3	of	of	ADP
ddj-78	408	4	the	the	DET
ddj-78	408	5	new	new	ADJ
ddj-78	408	6	faces	face	NOUN
ddj-78	408	7	one	one	PRON
ddj-78	408	8	would	would	AUX
ddj-78	408	9	attach	attach	VERB
ddj-78	408	10	the	the	DET
ddj-78	408	11	orbit	orbit	NOUN
ddj-78	408	12	of	of	ADP
ddj-78	408	13	triangles	triangle	NOUN
ddj-78	408	14	representing	represent	VERB
ddj-78	408	15	the	the	DET
ddj-78	408	16	codons	codon	NOUN
ddj-78	408	17	coding	code	VERB
ddj-78	408	18	for	for	ADP
ddj-78	408	19	the	the	DET
ddj-78	408	20	corresponding	corresponding	ADJ
ddj-78	408	21	amino	amino	NOUN
ddj-78	408	22	-	-	PUNCT
ddj-78	408	23	acid	acid	NOUN
ddj-78	408	24	.	.	PUNCT
ddj-78	409	1	to	to	PART
ddj-78	409	2	sum	sum	VERB
ddj-78	409	3	up	up	ADP
ddj-78	409	4	,	,	PUNCT
ddj-78	409	5	in	in	ADP
ddj-78	409	6	its	its	PRON
ddj-78	409	7	strongest	strong	ADJ
ddj-78	409	8	form	form	NOUN
ddj-78	409	9	the	the	DET
ddj-78	409	10	model	model	NOUN
ddj-78	409	11	makes	make	VERB
ddj-78	409	12	several	several	ADJ
ddj-78	409	13	purely	purely	ADV
ddj-78	409	14	mathematical	mathematical	ADJ
ddj-78	409	15	predictions	prediction	NOUN
ddj-78	409	16	,	,	PUNCT
ddj-78	409	17	which	which	PRON
ddj-78	409	18	could	could	AUX
ddj-78	409	19	easily	easily	ADV
ddj-78	409	20	kill	kill	VERB
ddj-78	409	21	it	it	PRON
ddj-78	409	22	.	.	PUNCT
ddj-78	410	1	1	1	X
ddj-78	410	2	.	.	X
ddj-78	410	3	the	the	DET
ddj-78	410	4	identification	identification	NOUN
ddj-78	410	5	of	of	ADP
ddj-78	410	6	the	the	DET
ddj-78	410	7	3	3	NUM
ddj-78	410	8	-	-	PUNCT
ddj-78	410	9	chords	chord	NOUN
ddj-78	410	10	assignable	assignable	ADJ
ddj-78	410	11	to	to	ADP
ddj-78	410	12	the	the	DET
ddj-78	410	13	triangles	triangle	NOUN
ddj-78	410	14	of	of	ADP
ddj-78	410	15	the	the	DET
ddj-78	410	16	icosahedron	icosahedron	X
ddj-78	410	17	.	.	PROPN
ddj-78	411	1	2	2	NUM
ddj-78	411	2	.	.	X
ddj-78	411	3	the	the	DET
ddj-78	411	4	existence	existence	NOUN
ddj-78	411	5	of	of	ADP
ddj-78	411	6	n2	n2	ADJ
ddj-78	411	7	=	=	SYM
ddj-78	411	8	7	7	NUM
ddj-78	411	9	hamiltonian	hamiltonian	ADJ
ddj-78	411	10	cycle	cycle	NOUN
ddj-78	411	11	requiring	require	VERB
ddj-78	411	12	however	however	ADV
ddj-78	411	13	the	the	DET
ddj-78	411	14	lumping	lumping	NOUN
ddj-78	411	15	of	of	ADP
ddj-78	411	16	acidic	acidic	ADJ
ddj-78	411	17	polar	polar	ADJ
ddj-78	411	18	and	and	CCONJ
ddj-78	411	19	polar	polar	ADJ
ddj-78	411	20	isbn	isbn	NOUN
ddj-78	411	21	:	:	PUNCT
ddj-78	411	22	2159	2159	NUM
ddj-78	411	23	-	-	PUNCT
ddj-78	411	24	046x	046x	NOUN
ddj-78	411	25	dna	dna	NOUN
ddj-78	411	26	decipher	decipher	PROPN
ddj-78	411	27	journal	journal	PROPN
ddj-78	411	28	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	411	29	published	publish	VERB
ddj-78	411	30	by	by	ADP
ddj-78	411	31	quantumdream	quantumdream	PROPN
ddj-78	411	32	,	,	PUNCT
ddj-78	411	33	inc	inc	PROPN
ddj-78	411	34	.	.	PROPN
ddj-78	411	35	dna	dna	PROPN
ddj-78	411	36	decipher	decipher	PROPN
ddj-78	411	37	journal	journal	PROPN
ddj-78	412	1	|	|	ADV
ddj-78	412	2	october	october	PROPN
ddj-78	412	3	2014	2014	NUM
ddj-78	412	4	|	|	ADV
ddj-78	412	5	volume	volume	NOUN
ddj-78	412	6	4	4	NUM
ddj-78	412	7	|	|	NOUN
ddj-78	412	8	issue	issue	VERB
ddj-78	412	9	2	2	NUM
ddj-78	412	10	|	|	CCONJ
ddj-78	412	11	pp	pp	ADJ
ddj-78	412	12	.	.	PUNCT
ddj-78	413	1	141	141	NUM
ddj-78	413	2	-	-	SYM
ddj-78	413	3	160	160	NUM
ddj-78	413	4	156	156	NUM
ddj-78	413	5	pitkänen	pitkänen	NOUN
ddj-78	413	6	,	,	PUNCT
ddj-78	413	7	m.	m.	NOUN
ddj-78	413	8	pythagoras	pythagoras	PROPN
ddj-78	413	9	,	,	PUNCT
ddj-78	413	10	music	music	NOUN
ddj-78	413	11	,	,	PUNCT
ddj-78	413	12	sacred	sacred	ADJ
ddj-78	413	13	geometry	geometry	NOUN
ddj-78	413	14	and	and	CCONJ
ddj-78	413	15	genetic	genetic	ADJ
ddj-78	413	16	code	code	NOUN
ddj-78	413	17	amino	amino	NOUN
ddj-78	413	18	-	-	PUNCT
ddj-78	413	19	acids	acid	NOUN
ddj-78	413	20	in	in	ADP
ddj-78	413	21	the	the	DET
ddj-78	413	22	same	same	ADJ
ddj-78	413	23	class	class	NOUN
ddj-78	413	24	.	.	PUNCT
ddj-78	414	1	3	3	X
ddj-78	414	2	.	.	PUNCT
ddj-78	414	3	the	the	DET
ddj-78	414	4	possibility	possibility	NOUN
ddj-78	414	5	to	to	PART
ddj-78	414	6	select	select	VERB
ddj-78	414	7	one	one	NUM
ddj-78	414	8	representative	representative	NOUN
ddj-78	414	9	of	of	ADP
ddj-78	414	10	amino	amino	NOUN
ddj-78	414	11	-	-	PUNCT
ddj-78	414	12	acid	acid	NOUN
ddj-78	414	13	from	from	ADP
ddj-78	414	14	each	each	DET
ddj-78	414	15	group	group	NOUN
ddj-78	414	16	orbit	orbit	NOUN
ddj-78	414	17	(	(	PUNCT
ddj-78	414	18	s3	s3	PROPN
ddj-78	414	19	,	,	PUNCT
ddj-78	414	20	z4	z4	PROPN
ddj-78	414	21	,	,	PUNCT
ddj-78	414	22	z2	z2	PROPN
ddj-78	414	23	)	)	PUNCT
ddj-78	414	24	such	such	ADJ
ddj-78	414	25	that	that	SCONJ
ddj-78	414	26	all	all	DET
ddj-78	414	27	amino	amino	NOUN
ddj-78	414	28	-	-	PUNCT
ddj-78	414	29	acids	acid	NOUN
ddj-78	414	30	are	be	AUX
ddj-78	414	31	different	different	ADJ
ddj-78	414	32	is	be	AUX
ddj-78	414	33	non	non	ADJ
ddj-78	414	34	-	-	ADJ
ddj-78	414	35	trivial	trivial	ADJ
ddj-78	414	36	and	and	CCONJ
ddj-78	414	37	one	one	PRON
ddj-78	414	38	should	should	AUX
ddj-78	414	39	prove	prove	VERB
ddj-78	414	40	that	that	SCONJ
ddj-78	414	41	this	this	PRON
ddj-78	414	42	is	be	AUX
ddj-78	414	43	possible	possible	ADJ
ddj-78	414	44	.	.	PUNCT
ddj-78	415	1	one	one	PRON
ddj-78	415	2	must	must	AUX
ddj-78	415	3	decompose	decompose	VERB
ddj-78	415	4	the	the	DET
ddj-78	415	5	set	set	NOUN
ddj-78	415	6	of	of	ADP
ddj-78	415	7	amino	amino	NOUN
ddj-78	415	8	-	-	PUNCT
ddj-78	415	9	acids	acid	NOUN
ddj-78	415	10	to	to	ADP
ddj-78	415	11	orbits	orbit	NOUN
ddj-78	415	12	in	in	ADP
ddj-78	415	13	3	3	NUM
ddj-78	415	14	different	different	ADJ
ddj-78	415	15	manners	manner	NOUN
ddj-78	415	16	(	(	PUNCT
ddj-78	415	17	s3	s3	PROPN
ddj-78	415	18	,	,	PUNCT
ddj-78	415	19	z4	z4	PROPN
ddj-78	415	20	,	,	PUNCT
ddj-78	415	21	z2	z2	PROPN
ddj-78	415	22	)	)	PUNCT
ddj-78	415	23	into	into	ADP
ddj-78	415	24	orbits	orbit	NOUN
ddj-78	415	25	and	and	CCONJ
ddj-78	415	26	select	select	VERB
ddj-78	415	27	for	for	ADP
ddj-78	415	28	each	each	DET
ddj-78	415	29	decomposition	decomposition	NOUN
ddj-78	415	30	1	1	NUM
ddj-78	415	31	representative	representative	NOUN
ddj-78	415	32	from	from	ADP
ddj-78	415	33	each	each	DET
ddj-78	415	34	orbit	orbit	NOUN
ddj-78	415	35	such	such	ADJ
ddj-78	415	36	that	that	SCONJ
ddj-78	415	37	the	the	DET
ddj-78	415	38	selection	selection	NOUN
ddj-78	415	39	contains	contain	VERB
ddj-78	415	40	all	all	DET
ddj-78	415	41	20	20	NUM
ddj-78	415	42	triangles	triangle	NOUN
ddj-78	415	43	.	.	PUNCT
ddj-78	416	1	3.3	3.3	NUM
ddj-78	416	2	how	how	SCONJ
ddj-78	416	3	could	could	AUX
ddj-78	416	4	one	one	PRON
ddj-78	416	5	construct	construct	VERB
ddj-78	416	6	the	the	DET
ddj-78	416	7	hamiltonian	hamiltonian	ADJ
ddj-78	416	8	cycles	cycle	NOUN
ddj-78	416	9	on	on	ADP
ddj-78	416	10	icosahedron	icosahedron	NUM
ddj-78	416	11	with	with	ADP
ddj-78	416	12	a	a	DET
ddj-78	416	13	minimal	minimal	ADJ
ddj-78	416	14	computational	computational	ADJ
ddj-78	416	15	work	work	NOUN
ddj-78	416	16	?	?	PUNCT
ddj-78	417	1	although	although	SCONJ
ddj-78	417	2	the	the	DET
ddj-78	417	3	construction	construction	NOUN
ddj-78	417	4	of	of	ADP
ddj-78	417	5	hamiltonian	hamiltonian	ADJ
ddj-78	417	6	cycles	cycle	NOUN
ddj-78	417	7	is	be	AUX
ddj-78	417	8	known	know	VERB
ddj-78	417	9	to	to	PART
ddj-78	417	10	be	be	AUX
ddj-78	417	11	an	an	DET
ddj-78	417	12	np	np	ADP
ddj-78	417	13	hard	hard	ADJ
ddj-78	417	14	problem	problem	NOUN
ddj-78	417	15	for	for	ADP
ddj-78	417	16	a	a	DET
ddj-78	417	17	general	general	ADJ
ddj-78	417	18	graph	graph	NOUN
ddj-78	417	19	,	,	PUNCT
ddj-78	417	20	one	one	PRON
ddj-78	417	21	can	can	AUX
ddj-78	417	22	hope	hope	VERB
ddj-78	417	23	that	that	SCONJ
ddj-78	417	24	in	in	ADP
ddj-78	417	25	case	case	NOUN
ddj-78	417	26	of	of	ADP
ddj-78	417	27	platonic	platonic	ADJ
ddj-78	417	28	solids	solid	NOUN
ddj-78	417	29	having	have	VERB
ddj-78	417	30	high	high	ADJ
ddj-78	417	31	symmetries	symmetry	NOUN
ddj-78	417	32	,	,	PUNCT
ddj-78	417	33	a	a	DET
ddj-78	417	34	direct	direct	ADJ
ddj-78	417	35	construction	construction	NOUN
ddj-78	417	36	instead	instead	ADV
ddj-78	417	37	of	of	ADP
ddj-78	417	38	straightforward	straightforward	ADJ
ddj-78	417	39	numerical	numerical	ADJ
ddj-78	417	40	search	search	NOUN
ddj-78	417	41	might	might	AUX
ddj-78	417	42	work	work	VERB
ddj-78	417	43	.	.	PUNCT
ddj-78	418	1	the	the	DET
ddj-78	418	2	following	follow	VERB
ddj-78	418	3	is	be	AUX
ddj-78	418	4	a	a	DET
ddj-78	418	5	proposal	proposal	NOUN
ddj-78	418	6	for	for	ADP
ddj-78	418	7	how	how	SCONJ
ddj-78	418	8	one	one	PRON
ddj-78	418	9	might	might	AUX
ddj-78	418	10	proceed	proceed	VERB
ddj-78	418	11	.	.	PUNCT
ddj-78	419	1	it	it	PRON
ddj-78	419	2	relies	rely	VERB
ddj-78	419	3	on	on	ADP
ddj-78	419	4	paper	paper	NOUN
ddj-78	419	5	model	model	NOUN
ddj-78	419	6	for	for	ADP
ddj-78	419	7	icosahedron	icosahedron	PROPN
ddj-78	419	8	.	.	PROPN
ddj-78	420	1	1	1	NUM
ddj-78	420	2	.	.	PUNCT
ddj-78	421	1	the	the	DET
ddj-78	421	2	basic	basic	ADJ
ddj-78	421	3	observation	observation	NOUN
ddj-78	421	4	about	about	ADP
ddj-78	421	5	one	one	NUM
ddj-78	421	6	can	can	AUX
ddj-78	421	7	get	get	AUX
ddj-78	421	8	convinced	convince	VERB
ddj-78	421	9	by	by	ADP
ddj-78	421	10	using	use	VERB
ddj-78	421	11	paper	paper	NOUN
ddj-78	421	12	model	model	NOUN
ddj-78	421	13	is	be	AUX
ddj-78	421	14	following	follow	VERB
ddj-78	421	15	.	.	PUNCT
ddj-78	422	1	one	one	PRON
ddj-78	422	2	can	can	AUX
ddj-78	422	3	decompose	decompose	VERB
ddj-78	422	4	the	the	DET
ddj-78	422	5	surface	surface	NOUN
ddj-78	422	6	of	of	ADP
ddj-78	422	7	icosahedron	icosahedron	NUM
ddj-78	422	8	to	to	ADP
ddj-78	422	9	three	three	NUM
ddj-78	422	10	regions	region	NOUN
ddj-78	422	11	p	p	X
ddj-78	422	12	(	(	PUNCT
ddj-78	422	13	i	i	PROPN
ddj-78	422	14	)	)	PUNCT
ddj-78	422	15	,	,	PUNCT
ddj-78	422	16	i	i	PRON
ddj-78	422	17	=	=	NOUN
ddj-78	422	18	1	1	NUM
ddj-78	422	19	,	,	PUNCT
ddj-78	422	20	2	2	NUM
ddj-78	422	21	,	,	PUNCT
ddj-78	422	22	3	3	NUM
ddj-78	422	23	,	,	PUNCT
ddj-78	422	24	with	with	ADP
ddj-78	422	25	pentagonal	pentagonal	ADJ
ddj-78	422	26	boundary	boundary	NOUN
ddj-78	422	27	and	and	CCONJ
ddj-78	422	28	containing	contain	VERB
ddj-78	422	29	5	5	NUM
ddj-78	422	30	triangles	triangle	NOUN
ddj-78	422	31	emanating	emanate	VERB
ddj-78	422	32	from	from	ADP
ddj-78	422	33	center	center	ADJ
ddj-78	422	34	vertex	vertex	NOUN
ddj-78	422	35	plus	plus	CCONJ
ddj-78	422	36	one	one	NUM
ddj-78	422	37	big	big	ADJ
ddj-78	422	38	triangle	triangle	NOUN
ddj-78	422	39	t	t	NOUN
ddj-78	422	40	containing	contain	VERB
ddj-78	422	41	4	4	NUM
ddj-78	422	42	pentagonal	pentagonal	ADJ
ddj-78	422	43	triangles	triangle	NOUN
ddj-78	422	44	and	and	CCONJ
ddj-78	422	45	one	one	NUM
ddj-78	422	46	lonely	lonely	ADJ
ddj-78	422	47	small	small	ADJ
ddj-78	422	48	triangle	triangle	NOUN
ddj-78	422	49	t	t	X
ddj-78	422	50	opposite	opposite	NOUN
ddj-78	422	51	to	to	ADP
ddj-78	422	52	it	it	PRON
ddj-78	422	53	.	.	PUNCT
ddj-78	423	1	these	these	DET
ddj-78	423	2	5	5	NUM
ddj-78	423	3	regions	region	NOUN
ddj-78	423	4	span	span	VERB
ddj-78	423	5	the	the	DET
ddj-78	423	6	surface	surface	NOUN
ddj-78	423	7	of	of	ADP
ddj-78	423	8	icosahedron	icosahedron	PROPN
ddj-78	423	9	.	.	PUNCT
ddj-78	424	1	there	there	PRON
ddj-78	424	2	is	be	VERB
ddj-78	424	3	clearly	clearly	ADV
ddj-78	424	4	a	a	DET
ddj-78	424	5	symmetry	symmetry	NOUN
ddj-78	424	6	breaking	break	VERB
ddj-78	424	7	and	and	CCONJ
ddj-78	424	8	there	there	PRON
ddj-78	424	9	is	be	VERB
ddj-78	424	10	great	great	ADJ
ddj-78	424	11	temptation	temptation	NOUN
ddj-78	424	12	to	to	PART
ddj-78	424	13	assume	assume	VERB
ddj-78	424	14	that	that	SCONJ
ddj-78	424	15	t	t	PROPN
ddj-78	424	16	corresponds	correspond	VERB
ddj-78	424	17	to	to	ADP
ddj-78	424	18	the	the	DET
ddj-78	424	19	triangle	triangle	NOUN
ddj-78	424	20	along	along	ADP
ddj-78	424	21	which	which	PRON
ddj-78	424	22	the	the	DET
ddj-78	424	23	tetrahedron	tetrahedron	NOUN
ddj-78	424	24	is	be	AUX
ddj-78	424	25	glued	glue	VERB
ddj-78	424	26	to	to	ADP
ddj-78	424	27	the	the	DET
ddj-78	424	28	icosahedron	icosahedron	NOUN
ddj-78	424	29	in	in	ADP
ddj-78	424	30	the	the	DET
ddj-78	424	31	model	model	NOUN
ddj-78	424	32	of	of	ADP
ddj-78	424	33	genetic	genetic	ADJ
ddj-78	424	34	code	code	NOUN
ddj-78	424	35	realizing	realize	VERB
ddj-78	424	36	the	the	DET
ddj-78	424	37	modification	modification	NOUN
ddj-78	424	38	of	of	ADP
ddj-78	424	39	icosahedral	icosahedral	ADJ
ddj-78	424	40	cycle	cycle	NOUN
ddj-78	424	41	for	for	ADP
ddj-78	424	42	which	which	PRON
ddj-78	424	43	the	the	DET
ddj-78	424	44	first	first	ADJ
ddj-78	424	45	guess	guess	NOUN
ddj-78	424	46	is	be	AUX
ddj-78	424	47	(	(	PUNCT
ddj-78	424	48	3	3	NUM
ddj-78	424	49	,	,	PUNCT
ddj-78	424	50	7	7	NUM
ddj-78	424	51	,	,	PUNCT
ddj-78	424	52	10	10	NUM
ddj-78	424	53	)	)	PUNCT
ddj-78	424	54	but	but	CCONJ
ddj-78	424	55	for	for	ADP
ddj-78	424	56	which	which	PRON
ddj-78	424	57	also	also	ADV
ddj-78	424	58	(	(	PUNCT
ddj-78	424	59	4	4	NUM
ddj-78	424	60	,	,	PUNCT
ddj-78	424	61	8	8	NUM
ddj-78	424	62	,	,	PUNCT
ddj-78	424	63	8)	8)	NUM
ddj-78	424	64	can	can	AUX
ddj-78	424	65	be	be	AUX
ddj-78	424	66	considered	consider	VERB
ddj-78	424	67	.	.	PUNCT
ddj-78	425	1	2	2	X
ddj-78	425	2	.	.	X
ddj-78	425	3	the	the	DET
ddj-78	425	4	hamiltonian	hamiltonian	ADJ
ddj-78	425	5	cycle	cycle	NOUN
ddj-78	425	6	must	must	AUX
ddj-78	425	7	visit	visit	VERB
ddj-78	425	8	at	at	ADP
ddj-78	425	9	the	the	DET
ddj-78	425	10	centers	center	NOUN
ddj-78	425	11	of	of	ADP
ddj-78	425	12	each	each	DET
ddj-78	425	13	p	p	X
ddj-78	425	14	(	(	PUNCT
ddj-78	425	15	i	i	NOUN
ddj-78	425	16	):	):	PUNCT
ddj-78	425	17	one	one	PRON
ddj-78	425	18	enters	enter	VERB
ddj-78	425	19	pentagonal	pentagonal	ADJ
ddj-78	425	20	region	region	NOUN
ddj-78	425	21	p	p	PROPN
ddj-78	425	22	(	(	PUNCT
ddj-78	425	23	i	i	PROPN
ddj-78	425	24	)	)	PUNCT
ddj-78	425	25	,	,	PUNCT
ddj-78	425	26	i	i	PRON
ddj-78	425	27	=	=	NOUN
ddj-78	425	28	1	1	NUM
ddj-78	425	29	,	,	PUNCT
ddj-78	425	30	2	2	NUM
ddj-78	425	31	,	,	PUNCT
ddj-78	425	32	3	3	NUM
ddj-78	425	33	along	along	ADP
ddj-78	425	34	one	one	NUM
ddj-78	425	35	of	of	ADP
ddj-78	425	36	the	the	DET
ddj-78	425	37	five	five	NUM
ddj-78	425	38	interior	interior	ADJ
ddj-78	425	39	edges	edge	NOUN
ddj-78	425	40	beginning	begin	VERB
ddj-78	425	41	at	at	ADP
ddj-78	425	42	pentagonal	pentagonal	ADJ
ddj-78	425	43	vertex	vertex	NOUN
ddj-78	425	44	ai	ai	NOUN
ddj-78	425	45	,	,	PUNCT
ddj-78	425	46	i	i	PRON
ddj-78	425	47	,	,	PUNCT
ddj-78	425	48	i	i	NOUN
ddj-78	425	49	=	=	NOUN
ddj-78	425	50	1	1	NUM
ddj-78	425	51	,	,	PUNCT
ddj-78	425	52	..	..	PUNCT
ddj-78	425	53	,	,	PUNCT
ddj-78	425	54	5	5	NUM
ddj-78	425	55	and	and	CCONJ
ddj-78	425	56	leaves	leave	VERB
ddj-78	425	57	it	it	PRON
ddj-78	425	58	along	along	ADP
ddj-78	425	59	second	second	ADJ
ddj-78	425	60	edge	edge	NOUN
ddj-78	425	61	ending	end	VERB
ddj-78	425	62	at	at	ADP
ddj-78	425	63	vertex	vertex	PROPN
ddj-78	425	64	bi	bi	PROPN
ddj-78	425	65	,	,	PUNCT
ddj-78	425	66	j	j	PROPN
ddj-78	425	67	,	,	PUNCT
ddj-78	425	68	j	j	PROPN
ddj-78	425	69	6=	6=	PROPN
ddj-78	425	70	5	5	NUM
ddj-78	425	71	.	.	X
ddj-78	426	1	one	one	PRON
ddj-78	426	2	can	can	AUX
ddj-78	426	3	call	call	VERB
ddj-78	426	4	these	these	DET
ddj-78	426	5	edges	edge	NOUN
ddj-78	426	6	interior	interior	ADJ
ddj-78	426	7	edges	edge	NOUN
ddj-78	426	8	.	.	PUNCT
ddj-78	427	1	the	the	DET
ddj-78	427	2	edges	edge	NOUN
ddj-78	427	3	at	at	ADP
ddj-78	427	4	boundaries	boundary	NOUN
ddj-78	427	5	of	of	ADP
ddj-78	427	6	p	p	PROPN
ddj-78	427	7	(	(	PUNCT
ddj-78	427	8	i	i	NOUN
ddj-78	427	9	)	)	PUNCT
ddj-78	427	10	can	can	AUX
ddj-78	427	11	be	be	AUX
ddj-78	427	12	called	call	VERB
ddj-78	427	13	boundary	boundary	ADJ
ddj-78	427	14	edges	edge	NOUN
ddj-78	427	15	.	.	PUNCT
ddj-78	428	1	interior	interior	ADJ
ddj-78	428	2	edge	edge	NOUN
ddj-78	428	3	can	can	AUX
ddj-78	428	4	correspond	correspond	VERB
ddj-78	428	5	to	to	ADP
ddj-78	428	6	|i−	|i−	NOUN
ddj-78	428	7	j|	j|	PROPN
ddj-78	428	8	=	=	SYM
ddj-78	428	9	0	0	NUM
ddj-78	428	10	,	,	PUNCT
ddj-78	428	11	1	1	NUM
ddj-78	428	12	or	or	CCONJ
ddj-78	428	13	i−	i−	PROPN
ddj-78	428	14	j	j	PROPN
ddj-78	428	15	>	>	X
ddj-78	428	16	1	1	X
ddj-78	428	17	.	.	PUNCT
ddj-78	428	18	for	for	ADP
ddj-78	428	19	|i−	|i−	NOUN
ddj-78	428	20	j|	j|	NOUN
ddj-78	428	21	=	=	SYM
ddj-78	429	1	1	1	NUM
ddj-78	429	2	the	the	DET
ddj-78	429	3	interior	interior	ADJ
ddj-78	429	4	edge	edge	NOUN
ddj-78	429	5	gives	give	VERB
ddj-78	429	6	rise	rise	NOUN
ddj-78	429	7	to	to	ADP
ddj-78	429	8	2	2	NUM
ddj-78	429	9	-	-	PUNCT
ddj-78	429	10	quint	quint	NOUN
ddj-78	429	11	triangle	triangle	NOUN
ddj-78	429	12	.	.	PUNCT
ddj-78	430	1	for	for	ADP
ddj-78	430	2	i−	i−	PROPN
ddj-78	430	3	j	j	PROPN
ddj-78	430	4	=	=	PUNCT
ddj-78	430	5	0	0	NUM
ddj-78	430	6	there	there	PRON
ddj-78	430	7	is	be	VERB
ddj-78	430	8	no	no	DET
ddj-78	430	9	boundary	boundary	ADJ
ddj-78	430	10	edge	edge	NOUN
ddj-78	430	11	after	after	ADP
ddj-78	430	12	b(i	b(i	PROPN
ddj-78	430	13	,	,	PUNCT
ddj-78	430	14	j	j	NOUN
ddj-78	430	15	)	)	PUNCT
ddj-78	430	16	.	.	PUNCT
ddj-78	431	1	3	3	X
ddj-78	431	2	.	.	X
ddj-78	431	3	pentagonal	pentagonal	ADJ
ddj-78	431	4	boundary	boundary	ADJ
ddj-78	431	5	edges	edge	NOUN
ddj-78	431	6	come	come	VERB
ddj-78	431	7	in	in	ADP
ddj-78	431	8	three	three	NUM
ddj-78	431	9	types	type	NOUN
ddj-78	431	10	.	.	PUNCT
ddj-78	432	1	2	2	NUM
ddj-78	432	2	of	of	ADP
ddj-78	432	3	them	they	PRON
ddj-78	432	4	are	be	AUX
ddj-78	432	5	shared	share	VERB
ddj-78	432	6	with	with	ADP
ddj-78	432	7	t	t	PROPN
ddj-78	432	8	,	,	PUNCT
ddj-78	432	9	1	1	NUM
ddj-78	432	10	with	with	ADP
ddj-78	432	11	t	t	PROPN
ddj-78	432	12	opposite	opposite	NOUN
ddj-78	432	13	to	to	ADP
ddj-78	432	14	it	it	PRON
ddj-78	432	15	,	,	PUNCT
ddj-78	432	16	and	and	CCONJ
ddj-78	432	17	2	2	NUM
ddj-78	432	18	with	with	ADP
ddj-78	432	19	another	another	DET
ddj-78	432	20	pentagonal	pentagonal	ADJ
ddj-78	432	21	region	region	NOUN
ddj-78	432	22	p	p	PROPN
ddj-78	432	23	(	(	PUNCT
ddj-78	432	24	i	i	PROPN
ddj-78	432	25	)	)	PUNCT
ddj-78	432	26	.	.	PUNCT
ddj-78	433	1	one	one	PRON
ddj-78	433	2	can	can	AUX
ddj-78	433	3	label	label	VERB
ddj-78	433	4	p	p	NOUN
ddj-78	433	5	(	(	PUNCT
ddj-78	433	6	i	i	NOUN
ddj-78	433	7	)	)	PUNCT
ddj-78	433	8	in	in	ADP
ddj-78	433	9	such	such	DET
ddj-78	433	10	a	a	DET
ddj-78	433	11	manner	manner	NOUN
ddj-78	433	12	that	that	SCONJ
ddj-78	433	13	the	the	DET
ddj-78	433	14	p	p	X
ddj-78	433	15	(	(	PUNCT
ddj-78	433	16	i	i	NOUN
ddj-78	433	17	)	)	PUNCT
ddj-78	433	18	shares	share	VERB
ddj-78	433	19	two	two	NUM
ddj-78	433	20	boundary	boundary	ADJ
ddj-78	433	21	edges	edge	NOUN
ddj-78	433	22	with	with	ADP
ddj-78	433	23	p	p	PROPN
ddj-78	433	24	(	(	PUNCT
ddj-78	433	25	i	i	PRON
ddj-78	433	26	+	+	NOUN
ddj-78	433	27	1	1	NUM
ddj-78	433	28	)	)	PUNCT
ddj-78	433	29	.	.	PUNCT
ddj-78	434	1	the	the	DET
ddj-78	434	2	boundary	boundary	ADJ
ddj-78	434	3	edges	edge	NOUN
ddj-78	434	4	of	of	ADP
ddj-78	434	5	small	small	ADJ
ddj-78	434	6	and	and	CCONJ
ddj-78	434	7	big	big	ADJ
ddj-78	434	8	triangle	triangle	NOUN
ddj-78	434	9	are	be	AUX
ddj-78	434	10	boundary	boundary	ADJ
ddj-78	434	11	edges	edge	NOUN
ddj-78	434	12	of	of	ADP
ddj-78	434	13	the	the	DET
ddj-78	434	14	3	3	NUM
ddj-78	434	15	pentagonal	pentagonal	ADJ
ddj-78	434	16	regions	region	NOUN
ddj-78	434	17	so	so	SCONJ
ddj-78	434	18	that	that	SCONJ
ddj-78	434	19	they	they	PRON
ddj-78	434	20	are	be	AUX
ddj-78	434	21	not	not	PART
ddj-78	434	22	counted	count	VERB
ddj-78	434	23	separately	separately	ADV
ddj-78	434	24	.	.	PUNCT
ddj-78	435	1	4	4	X
ddj-78	435	2	.	.	X
ddj-78	435	3	one	one	PRON
ddj-78	435	4	can	can	AUX
ddj-78	435	5	assume	assume	VERB
ddj-78	435	6	that	that	SCONJ
ddj-78	435	7	the	the	DET
ddj-78	435	8	cycles	cycle	NOUN
ddj-78	435	9	begins	begin	VERB
ddj-78	435	10	from	from	ADP
ddj-78	435	11	a	a	DET
ddj-78	435	12	vertex	vertex	NOUN
ddj-78	435	13	of	of	ADP
ddj-78	435	14	t	t	PROPN
ddj-78	435	15	.	.	PUNCT
ddj-78	436	1	since	since	SCONJ
ddj-78	436	2	the	the	DET
ddj-78	436	3	cycle	cycle	NOUN
ddj-78	436	4	is	be	AUX
ddj-78	436	5	closed	close	VERB
ddj-78	436	6	it	it	PRON
ddj-78	436	7	returns	return	VERB
ddj-78	436	8	back	back	ADV
ddj-78	436	9	to	to	ADP
ddj-78	436	10	this	this	DET
ddj-78	436	11	vertex	vertex	NOUN
ddj-78	436	12	.	.	PUNCT
ddj-78	437	1	the	the	DET
ddj-78	437	2	last	last	ADJ
ddj-78	437	3	edge	edge	NOUN
ddj-78	437	4	is	be	AUX
ddj-78	437	5	either	either	CCONJ
ddj-78	437	6	at	at	ADP
ddj-78	437	7	the	the	DET
ddj-78	437	8	boundary	boundary	NOUN
ddj-78	437	9	of	of	ADP
ddj-78	437	10	t	t	PROPN
ddj-78	437	11	or	or	CCONJ
ddj-78	437	12	goes	go	VERB
ddj-78	437	13	through	through	ADP
ddj-78	437	14	one	one	NUM
ddj-78	437	15	or	or	CCONJ
ddj-78	437	16	two	two	NUM
ddj-78	437	17	edges	edge	NOUN
ddj-78	437	18	of	of	ADP
ddj-78	437	19	the	the	DET
ddj-78	437	20	small	small	ADJ
ddj-78	437	21	interior	interior	ADJ
ddj-78	437	22	triangle	triangle	NOUN
ddj-78	437	23	of	of	ADP
ddj-78	437	24	t	t	NOUN
ddj-78	437	25	so	so	SCONJ
ddj-78	437	26	that	that	SCONJ
ddj-78	437	27	this	this	DET
ddj-78	437	28	triangle	triangle	NOUN
ddj-78	437	29	is	be	AUX
ddj-78	437	30	either	either	CCONJ
ddj-78	437	31	0-,1or	0-,1or	PROPN
ddj-78	437	32	2	2	NUM
ddj-78	437	33	-	-	PUNCT
ddj-78	437	34	quint	quint	NOUN
ddj-78	437	35	triangle	triangle	NOUN
ddj-78	437	36	.	.	PUNCT
ddj-78	438	1	t	t	PROPN
ddj-78	438	2	can	can	AUX
ddj-78	438	3	be	be	AUX
ddj-78	438	4	0-	0-	PROPN
ddj-78	438	5	,	,	PUNCT
ddj-78	438	6	1-	1-	NUM
ddj-78	438	7	,	,	PUNCT
ddj-78	438	8	or	or	CCONJ
ddj-78	438	9	2	2	NUM
ddj-78	438	10	-	-	PUNCT
ddj-78	438	11	quint	quint	NOUN
ddj-78	438	12	triangle	triangle	NOUN
ddj-78	438	13	.	.	PUNCT
ddj-78	439	1	5	5	X
ddj-78	439	2	.	.	X
ddj-78	439	3	the	the	DET
ddj-78	439	4	total	total	ADJ
ddj-78	439	5	number	number	NOUN
ddj-78	439	6	of	of	ADP
ddj-78	439	7	the	the	DET
ddj-78	439	8	interior	interior	ADJ
ddj-78	439	9	edges	edge	NOUN
ddj-78	439	10	inside	inside	ADP
ddj-78	439	11	the	the	DET
ddj-78	439	12	3	3	NUM
ddj-78	439	13	pentagonal	pentagonal	ADJ
ddj-78	439	14	regions	region	NOUN
ddj-78	439	15	is	be	AUX
ddj-78	439	16	3	3	NUM
ddj-78	439	17	×	×	NOUN
ddj-78	439	18	2	2	NUM
ddj-78	439	19	=	=	SYM
ddj-78	439	20	6	6	NUM
ddj-78	439	21	so	so	SCONJ
ddj-78	439	22	that	that	SCONJ
ddj-78	439	23	6	6	NUM
ddj-78	439	24	remaining	remain	VERB
ddj-78	439	25	edges	edge	NOUN
ddj-78	439	26	must	must	AUX
ddj-78	439	27	be	be	AUX
ddj-78	439	28	boundary	boundary	ADJ
ddj-78	439	29	edges	edge	NOUN
ddj-78	439	30	associated	associate	VERB
ddj-78	439	31	with	with	ADP
ddj-78	439	32	p	p	PROPN
ddj-78	439	33	(	(	PUNCT
ddj-78	439	34	i	i	NOUN
ddj-78	439	35	)	)	PUNCT
ddj-78	439	36	and	and	CCONJ
ddj-78	439	37	interior	interior	ADJ
ddj-78	439	38	edges	edge	NOUN
ddj-78	439	39	of	of	ADP
ddj-78	439	40	t	t	NOUN
ddj-78	439	41	:	:	PUNCT
ddj-78	439	42	otherwise	otherwise	ADV
ddj-78	439	43	one	one	PRON
ddj-78	439	44	would	would	AUX
ddj-78	439	45	visit	visit	VERB
ddj-78	439	46	some	some	DET
ddj-78	439	47	pentagonal	pentagonal	ADJ
ddj-78	439	48	center	center	NOUN
ddj-78	439	49	twice	twice	ADV
ddj-78	439	50	and	and	CCONJ
ddj-78	439	51	self	self	NOUN
ddj-78	439	52	-	-	PUNCT
ddj-78	439	53	intersection	intersection	NOUN
ddj-78	439	54	would	would	AUX
ddj-78	439	55	occur	occur	VERB
ddj-78	439	56	.	.	PUNCT
ddj-78	440	1	the	the	DET
ddj-78	440	2	boundary	boundary	ADJ
ddj-78	440	3	edges	edge	NOUN
ddj-78	440	4	associated	associate	VERB
ddj-78	440	5	with	with	ADP
ddj-78	440	6	t	t	PROPN
ddj-78	440	7	and	and	CCONJ
ddj-78	440	8	t	t	PROPN
ddj-78	440	9	are	be	AUX
ddj-78	440	10	boundary	boundary	ADJ
ddj-78	440	11	edges	edge	NOUN
ddj-78	440	12	of	of	ADP
ddj-78	440	13	p	p	NOUN
ddj-78	440	14	(	(	PUNCT
ddj-78	440	15	i	i	PROPN
ddj-78	440	16	)	)	PUNCT
ddj-78	440	17	,	,	PUNCT
ddj-78	440	18	i	i	PRON
ddj-78	440	19	=	=	NOUN
ddj-78	440	20	1	1	NUM
ddj-78	440	21	,	,	PUNCT
ddj-78	440	22	2	2	NUM
ddj-78	440	23	,	,	PUNCT
ddj-78	440	24	3	3	NUM
ddj-78	440	25	6	6	NUM
ddj-78	440	26	.	.	PUNCT
ddj-78	441	1	at	at	ADP
ddj-78	441	2	the	the	DET
ddj-78	441	3	vertex	vertex	NOUN
ddj-78	441	4	b(i	b(i	NUM
ddj-78	441	5	,	,	PUNCT
ddj-78	441	6	j	j	NOUN
ddj-78	441	7	)	)	PUNCT
ddj-78	441	8	of	of	ADP
ddj-78	441	9	pentagonal	pentagonal	ADJ
ddj-78	441	10	region	region	NOUN
ddj-78	441	11	one	one	PRON
ddj-78	441	12	must	must	AUX
ddj-78	441	13	turn	turn	VERB
ddj-78	441	14	right	right	ADV
ddj-78	441	15	or	or	CCONJ
ddj-78	441	16	left	leave	VERB
ddj-78	441	17	and	and	CCONJ
ddj-78	441	18	move	move	VERB
ddj-78	441	19	along	along	ADP
ddj-78	441	20	the	the	DET
ddj-78	441	21	boundary	boundary	ADJ
ddj-78	441	22	edge	edge	NOUN
ddj-78	441	23	.	.	PUNCT
ddj-78	442	1	one	one	PRON
ddj-78	442	2	can	can	AUX
ddj-78	442	3	move	move	VERB
ddj-78	442	4	at	at	ADP
ddj-78	442	5	most	most	ADJ
ddj-78	442	6	ni	ni	NOUN
ddj-78	443	1	=	=	SYM
ddj-78	444	1	4−j	4−j	NUM
ddj-78	445	1	boundary	boundary	ADJ
ddj-78	445	2	edges	edge	NOUN
ddj-78	445	3	along	along	ADP
ddj-78	445	4	the	the	DET
ddj-78	445	5	pentagonal	pentagonal	ADJ
ddj-78	445	6	boundary	boundary	NOUN
ddj-78	445	7	in	in	ADP
ddj-78	445	8	clockwise	clockwise	NOUN
ddj-78	445	9	direction	direction	NOUN
ddj-78	445	10	and	and	CCONJ
ddj-78	445	11	ni	ni	NOUN
ddj-78	445	12	=	=	NOUN
ddj-78	445	13	j−	j−	PROPN
ddj-78	445	14	2	2	NUM
ddj-78	445	15	edges	edge	NOUN
ddj-78	445	16	in	in	ADP
ddj-78	445	17	counterclockwise	counterclockwise	NOUN
ddj-78	445	18	direction	direction	NOUN
ddj-78	445	19	(	(	PUNCT
ddj-78	445	20	clockwise	clockwise	NOUN
ddj-78	445	21	is	be	AUX
ddj-78	445	22	the	the	DET
ddj-78	445	23	direction	direction	NOUN
ddj-78	445	24	in	in	ADP
ddj-78	445	25	which	which	PRON
ddj-78	445	26	the	the	DET
ddj-78	445	27	index	index	NOUN
ddj-78	445	28	labelling	label	VERB
ddj-78	445	29	5	5	NUM
ddj-78	445	30	vertices	vertex	NOUN
ddj-78	445	31	grows	grow	VERB
ddj-78	445	32	)	)	PUNCT
ddj-78	445	33	.	.	PUNCT
ddj-78	446	1	the	the	DET
ddj-78	446	2	maximum	maximum	ADJ
ddj-78	446	3	number	number	NOUN
ddj-78	446	4	of	of	ADP
ddj-78	446	5	boundary	boundary	ADJ
ddj-78	446	6	edges	edge	NOUN
ddj-78	446	7	is	be	AUX
ddj-78	446	8	3	3	NUM
ddj-78	446	9	and	and	CCONJ
ddj-78	446	10	obtained	obtain	VERB
ddj-78	446	11	for	for	ADP
ddj-78	446	12	j	j	PROPN
ddj-78	446	13	−	−	PROPN
ddj-78	446	14	i±	i±	PROPN
ddj-78	446	15	1	1	NUM
ddj-78	446	16	.	.	PUNCT
ddj-78	447	1	isbn	isbn	PROPN
ddj-78	447	2	:	:	PUNCT
ddj-78	447	3	2159	2159	NUM
ddj-78	447	4	-	-	PUNCT
ddj-78	447	5	046x	046x	NOUN
ddj-78	447	6	dna	dna	NOUN
ddj-78	447	7	decipher	decipher	PROPN
ddj-78	447	8	journal	journal	PROPN
ddj-78	447	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	447	10	published	publish	VERB
ddj-78	447	11	by	by	ADP
ddj-78	447	12	quantumdream	quantumdream	PROPN
ddj-78	447	13	,	,	PUNCT
ddj-78	447	14	inc	inc	PROPN
ddj-78	447	15	.	.	PROPN
ddj-78	447	16	dna	dna	PROPN
ddj-78	447	17	decipher	decipher	PROPN
ddj-78	447	18	journal	journal	PROPN
ddj-78	448	1	|	|	ADV
ddj-78	448	2	october	october	PROPN
ddj-78	448	3	2014	2014	NUM
ddj-78	448	4	|	|	ADV
ddj-78	448	5	volume	volume	NOUN
ddj-78	448	6	4	4	NUM
ddj-78	448	7	|	|	NOUN
ddj-78	448	8	issue	issue	VERB
ddj-78	448	9	2	2	NUM
ddj-78	448	10	|	|	CCONJ
ddj-78	448	11	pp	pp	ADJ
ddj-78	448	12	.	.	PUNCT
ddj-78	449	1	141	141	NUM
ddj-78	449	2	-	-	SYM
ddj-78	449	3	160	160	NUM
ddj-78	449	4	157	157	NUM
ddj-78	449	5	pitkänen	pitkänen	NOUN
ddj-78	449	6	,	,	PUNCT
ddj-78	449	7	m.	m.	NOUN
ddj-78	449	8	pythagoras	pythagoras	PROPN
ddj-78	449	9	,	,	PUNCT
ddj-78	449	10	music	music	NOUN
ddj-78	449	11	,	,	PUNCT
ddj-78	449	12	sacred	sacred	ADJ
ddj-78	449	13	geometry	geometry	NOUN
ddj-78	449	14	and	and	CCONJ
ddj-78	449	15	genetic	genetic	ADJ
ddj-78	449	16	code	code	NOUN
ddj-78	449	17	7	7	NUM
ddj-78	449	18	.	.	PUNCT
ddj-78	450	1	the	the	DET
ddj-78	450	2	condition	condition	NOUN
ddj-78	450	3	∑	∑	PUNCT
ddj-78	450	4	ni	ni	PROPN
ddj-78	450	5	+	+	PROPN
ddj-78	450	6	n(t	n(t	PROPN
ddj-78	450	7	)	)	PUNCT
ddj-78	451	1	=	=	PUNCT
ddj-78	451	2	6	6	NUM
ddj-78	451	3	,	,	PUNCT
ddj-78	451	4	where	where	SCONJ
ddj-78	451	5	n(t	n(t	PROPN
ddj-78	451	6	)	)	PUNCT
ddj-78	452	1	=	=	SYM
ddj-78	452	2	1	1	NUM
ddj-78	452	3	,	,	PUNCT
ddj-78	452	4	2	2	NUM
ddj-78	452	5	is	be	AUX
ddj-78	452	6	the	the	DET
ddj-78	452	7	number	number	NOUN
ddj-78	452	8	of	of	ADP
ddj-78	452	9	interior	interior	ADJ
ddj-78	452	10	edges	edge	NOUN
ddj-78	452	11	of	of	ADP
ddj-78	452	12	t	t	NOUN
ddj-78	452	13	,	,	PUNCT
ddj-78	452	14	holds	hold	VERB
ddj-78	452	15	true	true	ADJ
ddj-78	452	16	so	so	SCONJ
ddj-78	452	17	that	that	SCONJ
ddj-78	452	18	one	one	NOUN
ddj-78	452	19	has	have	VERB
ddj-78	452	20	∑	∑	DET
ddj-78	452	21	n(i	n(i	ADJ
ddj-78	452	22	)	)	PUNCT
ddj-78	452	23	≡	≡	PROPN
ddj-78	452	24	ntot	ntot	PROPN
ddj-78	452	25	∈	∈	PROPN
ddj-78	452	26	{	{	PUNCT
ddj-78	452	27	4	4	NUM
ddj-78	452	28	,	,	PUNCT
ddj-78	452	29	5	5	NUM
ddj-78	452	30	}	}	PUNCT
ddj-78	452	31	.	.	PUNCT
ddj-78	453	1	the	the	DET
ddj-78	453	2	numbers	number	NOUN
ddj-78	453	3	and	and	CCONJ
ddj-78	453	4	types	type	NOUN
ddj-78	453	5	(	(	PUNCT
ddj-78	453	6	shared	share	VERB
ddj-78	453	7	with	with	ADP
ddj-78	453	8	pentagon	pentagon	PROPN
ddj-78	453	9	,	,	PUNCT
ddj-78	453	10	t	t	PROPN
ddj-78	453	11	,	,	PUNCT
ddj-78	453	12	or	or	CCONJ
ddj-78	453	13	t	t	PROPN
ddj-78	453	14	)	)	PUNCT
ddj-78	453	15	of	of	ADP
ddj-78	453	16	the	the	DET
ddj-78	453	17	boundary	boundary	ADJ
ddj-78	453	18	edges	edge	NOUN
ddj-78	453	19	of	of	ADP
ddj-78	453	20	p	p	NOUN
ddj-78	453	21	(	(	PUNCT
ddj-78	453	22	i	i	PROPN
ddj-78	453	23	)	)	PUNCT
ddj-78	453	24	,	,	PUNCT
ddj-78	453	25	the	the	DET
ddj-78	453	26	differences	difference	NOUN
ddj-78	453	27	∆(i	∆(i	X
ddj-78	453	28	)	)	PUNCT
ddj-78	453	29	=	=	SYM
ddj-78	454	1	ji	ji	PROPN
ddj-78	454	2	−	−	PROPN
ddj-78	454	3	ii	ii	PROPN
ddj-78	454	4	,	,	PUNCT
ddj-78	454	5	the	the	DET
ddj-78	454	6	number	number	NOUN
ddj-78	454	7	of	of	ADP
ddj-78	454	8	edges	edge	NOUN
ddj-78	454	9	in	in	ADP
ddj-78	454	10	t	t	PROPN
ddj-78	454	11	and	and	CCONJ
ddj-78	454	12	the	the	DET
ddj-78	454	13	number	number	NOUN
ddj-78	454	14	of	of	ADP
ddj-78	454	15	interior	interior	ADJ
ddj-78	454	16	edges	edge	NOUN
ddj-78	454	17	of	of	ADP
ddj-78	454	18	t	t	NOUN
ddj-78	454	19	characterize	characterize	VERB
ddj-78	454	20	the	the	DET
ddj-78	454	21	hamiltonian	hamiltonian	ADJ
ddj-78	454	22	cycle	cycle	NOUN
ddj-78	454	23	besides	besides	SCONJ
ddj-78	454	24	the	the	DET
ddj-78	454	25	condition	condition	NOUN
ddj-78	454	26	that	that	SCONJ
ddj-78	454	27	it	it	PRON
ddj-78	454	28	is	be	AUX
ddj-78	454	29	closed	closed	ADJ
ddj-78	454	30	.	.	PUNCT
ddj-78	455	1	the	the	DET
ddj-78	455	2	closedness	closedness	ADJ
ddj-78	455	3	condition	condition	NOUN
ddj-78	455	4	seems	seem	VERB
ddj-78	455	5	possible	possible	ADJ
ddj-78	455	6	to	to	PART
ddj-78	455	7	satisfy	satisfy	VERB
ddj-78	455	8	.	.	PUNCT
ddj-78	456	1	one	one	PRON
ddj-78	456	2	must	must	AUX
ddj-78	456	3	enter	enter	VERB
ddj-78	456	4	big	big	ADJ
ddj-78	456	5	triangle	triangle	NOUN
ddj-78	456	6	through	through	ADP
ddj-78	456	7	one	one	NUM
ddj-78	456	8	of	of	ADP
ddj-78	456	9	the	the	DET
ddj-78	456	10	vertices	vertex	NOUN
ddj-78	456	11	of	of	ADP
ddj-78	456	12	t	t	PROPN
ddj-78	456	13	and	and	CCONJ
ddj-78	456	14	this	this	DET
ddj-78	456	15	vertex	vertex	NOUN
ddj-78	456	16	is	be	AUX
ddj-78	456	17	uniqely	uniqely	ADV
ddj-78	456	18	determined	determined	ADJ
ddj-78	456	19	once	once	SCONJ
ddj-78	456	20	the	the	DET
ddj-78	456	21	third	third	ADJ
ddj-78	456	22	pentagon	pentagon	PROPN
ddj-78	456	23	is	be	AUX
ddj-78	456	24	fixed	fix	VERB
ddj-78	456	25	.	.	PUNCT
ddj-78	457	1	one	one	PRON
ddj-78	457	2	can	can	AUX
ddj-78	457	3	therefore	therefore	ADV
ddj-78	457	4	hope	hope	VERB
ddj-78	457	5	that	that	SCONJ
ddj-78	457	6	the	the	DET
ddj-78	457	7	construction	construction	NOUN
ddj-78	457	8	gives	give	VERB
ddj-78	457	9	directly	directly	ADV
ddj-78	457	10	all	all	DET
ddj-78	457	11	the	the	DET
ddj-78	457	12	hamiltonian	hamiltonian	ADJ
ddj-78	457	13	cycles	cycle	NOUN
ddj-78	457	14	with	with	ADP
ddj-78	457	15	relatively	relatively	ADV
ddj-78	457	16	small	small	ADJ
ddj-78	457	17	amount	amount	NOUN
ddj-78	457	18	of	of	ADP
ddj-78	457	19	failed	fail	VERB
ddj-78	457	20	attempts	attempt	NOUN
ddj-78	457	21	,	,	PUNCT
ddj-78	457	22	certainly	certainly	ADV
ddj-78	457	23	dramatically	dramatically	ADV
ddj-78	457	24	smaller	small	ADJ
ddj-78	457	25	than	than	ADP
ddj-78	457	26	n	n	NOUN
ddj-78	457	27	=	=	NUM
ddj-78	457	28	224	224	NUM
ddj-78	457	29	∼	∼	NOUN
ddj-78	457	30	107	107	NUM
ddj-78	457	31	of	of	ADP
ddj-78	457	32	blind	blind	ADJ
ddj-78	457	33	and	and	CCONJ
ddj-78	457	34	mostly	mostly	ADV
ddj-78	457	35	un	un	ADJ
ddj-78	457	36	-	-	ADJ
ddj-78	457	37	succesful	succesful	ADJ
ddj-78	457	38	trials	trial	NOUN
ddj-78	457	39	.	.	PUNCT
ddj-78	458	1	8	8	X
ddj-78	458	2	.	.	X
ddj-78	459	1	each	each	DET
ddj-78	459	2	p	p	X
ddj-78	459	3	(	(	PUNCT
ddj-78	459	4	i	i	NOUN
ddj-78	459	5	)	)	PUNCT
ddj-78	459	6	containing	contain	VERB
ddj-78	459	7	boundary	boundary	ADJ
ddj-78	459	8	edges	edge	NOUN
ddj-78	459	9	gives	give	VERB
ddj-78	459	10	rise	rise	NOUN
ddj-78	459	11	to	to	ADP
ddj-78	459	12	least	least	ADJ
ddj-78	459	13	2	2	NUM
ddj-78	459	14	2	2	NUM
ddj-78	459	15	-	-	PUNCT
ddj-78	459	16	quint	quint	NOUN
ddj-78	459	17	triangles	triangle	NOUN
ddj-78	459	18	associated	associate	VERB
ddj-78	459	19	with	with	ADP
ddj-78	459	20	bi(i	bi(i	NOUN
ddj-78	459	21	)	)	PUNCT
ddj-78	459	22	and	and	CCONJ
ddj-78	459	23	ai+1	ai+1	NOUN
ddj-78	459	24	.	.	PUNCT
ddj-78	460	1	if	if	SCONJ
ddj-78	460	2	all	all	DET
ddj-78	460	3	3	3	NUM
ddj-78	460	4	p	p	NOUN
ddj-78	460	5	(	(	PUNCT
ddj-78	460	6	i	i	NOUN
ddj-78	460	7	)	)	PUNCT
ddj-78	460	8	have	have	VERB
ddj-78	460	9	|i	|i	NOUN
ddj-78	460	10	−	−	PROPN
ddj-78	460	11	j|	j|	PROPN
ddj-78	460	12	>	>	X
ddj-78	460	13	1	1	NUM
ddj-78	460	14	,	,	PUNCT
ddj-78	460	15	one	one	PRON
ddj-78	460	16	has	have	VERB
ddj-78	460	17	n2	n2	NOUN
ddj-78	460	18	=	=	SYM
ddj-78	460	19	3	3	NUM
ddj-78	460	20	×	×	NOUN
ddj-78	460	21	2	2	NUM
ddj-78	460	22	=	=	SYM
ddj-78	460	23	6	6	NUM
ddj-78	460	24	.	.	PUNCT
ddj-78	461	1	the	the	DET
ddj-78	461	2	contribution	contribution	NOUN
ddj-78	461	3	of	of	ADP
ddj-78	461	4	regions	region	NOUN
ddj-78	461	5	p	p	X
ddj-78	461	6	(	(	PUNCT
ddj-78	461	7	i	i	NOUN
ddj-78	461	8	)	)	PUNCT
ddj-78	461	9	is	be	AUX
ddj-78	461	10	larger	large	ADJ
ddj-78	461	11	if	if	SCONJ
ddj-78	461	12	some	some	DET
ddj-78	461	13	pentagon	pentagon	PROPN
ddj-78	461	14	interiors	interior	NOUN
ddj-78	461	15	have	have	VERB
ddj-78	461	16	|∆(i)|	|∆(i)|	NOUN
ddj-78	461	17	=	=	SYM
ddj-78	461	18	|j(i	|j(i	PROPN
ddj-78	461	19	)	)	PUNCT
ddj-78	461	20	−	−	NOUN
ddj-78	461	21	i(i)|	i(i)|	ADP
ddj-78	461	22	=	=	NOUN
ddj-78	461	23	1	1	X
ddj-78	461	24	.	.	X
ddj-78	461	25	|j(i	|j(i	PROPN
ddj-78	461	26	)	)	PUNCT
ddj-78	462	1	−	−	NOUN
ddj-78	463	1	i(i)|	i(i)|	NOUN
ddj-78	463	2	=	=	SYM
ddj-78	463	3	1	1	NUM
ddj-78	463	4	gives	give	VERB
ddj-78	463	5	∆n2(i	∆n2(i	NOUN
ddj-78	463	6	)	)	PUNCT
ddj-78	463	7	=	=	SYM
ddj-78	463	8	1	1	NUM
ddj-78	463	9	and	and	CCONJ
ddj-78	463	10	∆n1(i	∆n1(i	NOUN
ddj-78	463	11	)	)	PUNCT
ddj-78	463	12	=	=	SYM
ddj-78	463	13	0	0	NUM
ddj-78	464	1	since	since	SCONJ
ddj-78	464	2	2	2	NUM
ddj-78	464	3	1	1	NUM
ddj-78	464	4	-	-	PUNCT
ddj-78	464	5	quint	quint	NOUN
ddj-78	464	6	triangles	triangle	NOUN
ddj-78	464	7	are	be	AUX
ddj-78	464	8	replaced	replace	VERB
ddj-78	464	9	with	with	ADP
ddj-78	464	10	single	single	ADJ
ddj-78	464	11	2	2	NUM
ddj-78	464	12	-	-	PUNCT
ddj-78	464	13	quint	quint	NOUN
ddj-78	464	14	triangle	triangle	NOUN
ddj-78	464	15	.	.	PUNCT
ddj-78	465	1	the	the	DET
ddj-78	465	2	interior	interior	NOUN
ddj-78	465	3	of	of	ADP
ddj-78	465	4	the	the	DET
ddj-78	465	5	t	t	NOUN
ddj-78	465	6	can	can	AUX
ddj-78	465	7	give	give	VERB
ddj-78	465	8	1	1	NUM
ddj-78	465	9	2	2	NUM
ddj-78	465	10	-	-	PUNCT
ddj-78	465	11	quint	quint	NOUN
ddj-78	465	12	triangle	triangle	NOUN
ddj-78	465	13	.	.	PUNCT
ddj-78	466	1	9	9	X
ddj-78	466	2	.	.	X
ddj-78	467	1	the	the	DET
ddj-78	467	2	number	number	NOUN
ddj-78	467	3	n1	n1	NOUN
ddj-78	467	4	of	of	ADP
ddj-78	467	5	1	1	NUM
ddj-78	467	6	-	-	PUNCT
ddj-78	467	7	quint	quint	NOUN
ddj-78	467	8	triangles	triangle	NOUN
ddj-78	467	9	can	can	AUX
ddj-78	467	10	be	be	AUX
ddj-78	467	11	estimated	estimate	VERB
ddj-78	467	12	as	as	SCONJ
ddj-78	467	13	follows	follow	VERB
ddj-78	467	14	.	.	PUNCT
ddj-78	468	1	(	(	PUNCT
ddj-78	468	2	a	a	X
ddj-78	468	3	)	)	PUNCT
ddj-78	468	4	each	each	DET
ddj-78	468	5	pentagonal	pentagonal	ADJ
ddj-78	468	6	interior	interior	ADJ
ddj-78	468	7	edge	edge	NOUN
ddj-78	468	8	pair	pair	NOUN
ddj-78	468	9	leading	lead	VERB
ddj-78	468	10	from	from	ADP
ddj-78	468	11	a(i	a(i	PROPN
ddj-78	468	12	,	,	PUNCT
ddj-78	468	13	j	j	NOUN
ddj-78	468	14	)	)	PUNCT
ddj-78	468	15	to	to	ADP
ddj-78	468	16	b(i	b(i	NUM
ddj-78	468	17	,	,	PUNCT
ddj-78	468	18	j	j	NOUN
ddj-78	468	19	)	)	PUNCT
ddj-78	468	20	contributes	contribute	VERB
ddj-78	468	21	2	2	NUM
ddj-78	468	22	1	1	NUM
ddj-78	468	23	-	-	PUNCT
ddj-78	468	24	quint	quint	NOUN
ddj-78	468	25	triangles	triangle	NOUN
ddj-78	468	26	for	for	ADP
ddj-78	468	27	∆(i	∆(i	PROPN
ddj-78	468	28	)	)	PUNCT
ddj-78	468	29	6=	6=	NUM
ddj-78	468	30	±1	±1	VERB
ddj-78	468	31	,	,	PUNCT
ddj-78	468	32	otherwise	otherwise	ADV
ddj-78	468	33	one	one	NUM
ddj-78	468	34	obtains	obtain	VERB
ddj-78	468	35	only	only	ADV
ddj-78	468	36	1	1	NUM
ddj-78	468	37	2	2	NUM
ddj-78	468	38	-	-	PUNCT
ddj-78	468	39	quint	quint	NOUN
ddj-78	468	40	triangle	triangle	NOUN
ddj-78	468	41	.	.	PUNCT
ddj-78	469	1	this	this	PRON
ddj-78	469	2	would	would	AUX
ddj-78	469	3	give	give	VERB
ddj-78	469	4	maximum	maximum	ADJ
ddj-78	469	5	number	number	NOUN
ddj-78	469	6	of	of	ADP
ddj-78	469	7	6	6	NUM
ddj-78	469	8	1	1	NUM
ddj-78	469	9	-	-	PUNCT
ddj-78	469	10	quint	quint	NOUN
ddj-78	469	11	triangles	triangle	NOUN
ddj-78	469	12	associated	associate	VERB
ddj-78	469	13	with	with	ADP
ddj-78	469	14	the	the	DET
ddj-78	469	15	interior	interior	ADJ
ddj-78	469	16	edges	edge	NOUN
ddj-78	469	17	of	of	ADP
ddj-78	469	18	3	3	NUM
ddj-78	469	19	pentagons	pentagon	NOUN
ddj-78	469	20	.	.	PUNCT
ddj-78	470	1	(	(	PUNCT
ddj-78	470	2	b	b	X
ddj-78	470	3	)	)	PUNCT
ddj-78	470	4	p	p	NOUN
ddj-78	470	5	(	(	PUNCT
ddj-78	470	6	i	i	NOUN
ddj-78	470	7	)	)	PUNCT
ddj-78	470	8	pentagonal	pentagonal	ADJ
ddj-78	470	9	boundary	boundary	ADJ
ddj-78	470	10	edges	edge	NOUN
ddj-78	470	11	contribute	contribute	VERB
ddj-78	470	12	2×	2×	NUM
ddj-78	470	13	(	(	PUNCT
ddj-78	470	14	p	p	X
ddj-78	470	15	(	(	PUNCT
ddj-78	470	16	i)−	i)−	PROPN
ddj-78	470	17	1	1	NUM
ddj-78	470	18	)	)	PUNCT
ddj-78	470	19	additional	additional	ADJ
ddj-78	470	20	1	1	NUM
ddj-78	470	21	-	-	PUNCT
ddj-78	470	22	quint	quint	NOUN
ddj-78	470	23	triangles	triangle	NOUN
ddj-78	470	24	.	.	PUNCT
ddj-78	471	1	(	(	PUNCT
ddj-78	471	2	c	c	X
ddj-78	471	3	)	)	PUNCT
ddj-78	471	4	t	t	PROPN
ddj-78	471	5	contributes	contribute	VERB
ddj-78	471	6	at	at	ADP
ddj-78	471	7	most	most	ADV
ddj-78	471	8	4	4	NUM
ddj-78	471	9	1	1	NUM
ddj-78	471	10	-	-	PUNCT
ddj-78	471	11	quint	quint	NOUN
ddj-78	471	12	triangles	triangle	NOUN
ddj-78	471	13	.	.	PUNCT
ddj-78	472	1	(	(	PUNCT
ddj-78	472	2	d	d	X
ddj-78	472	3	)	)	PUNCT
ddj-78	472	4	t	t	PROPN
ddj-78	472	5	can	can	AUX
ddj-78	472	6	correspond	correspond	VERB
ddj-78	472	7	1	1	NUM
ddj-78	472	8	-	-	PUNCT
ddj-78	472	9	quint	quint	NOUN
ddj-78	472	10	triangle	triangle	NOUN
ddj-78	472	11	and	and	CCONJ
ddj-78	472	12	would	would	AUX
ddj-78	472	13	do	do	VERB
ddj-78	472	14	so	so	ADV
ddj-78	472	15	if	if	SCONJ
ddj-78	472	16	the	the	DET
ddj-78	472	17	interpretation	interpretation	NOUN
ddj-78	472	18	of	of	ADP
ddj-78	472	19	extended	extended	ADJ
ddj-78	472	20	code	code	NOUN
ddj-78	472	21	is	be	AUX
ddj-78	472	22	correct	correct	ADJ
ddj-78	472	23	.	.	PUNCT
ddj-78	473	1	10	10	NUM
ddj-78	473	2	.	.	PUNCT
ddj-78	474	1	the	the	DET
ddj-78	474	2	construction	construction	NOUN
ddj-78	474	3	also	also	ADV
ddj-78	474	4	breaks	break	VERB
ddj-78	474	5	the	the	DET
ddj-78	474	6	rotational	rotational	ADJ
ddj-78	474	7	symmetry	symmetry	NOUN
ddj-78	474	8	since	since	SCONJ
ddj-78	474	9	the	the	DET
ddj-78	474	10	decomposition	decomposition	NOUN
ddj-78	474	11	of	of	ADP
ddj-78	474	12	icosahedron	icosahedron	NUM
ddj-78	474	13	to	to	ADP
ddj-78	474	14	regions	region	NOUN
ddj-78	474	15	is	be	AUX
ddj-78	474	16	like	like	ADP
ddj-78	474	17	gauge	gauge	NOUN
ddj-78	474	18	fixing	fix	VERB
ddj-78	474	19	so	so	SCONJ
ddj-78	474	20	that	that	SCONJ
ddj-78	474	21	one	one	PRON
ddj-78	474	22	can	can	AUX
ddj-78	474	23	hope	hope	VERB
ddj-78	474	24	of	of	ADP
ddj-78	474	25	obtaining	obtain	VERB
ddj-78	474	26	only	only	ADJ
ddj-78	474	27	single	single	ADJ
ddj-78	474	28	representative	representative	NOUN
ddj-78	474	29	in	in	ADP
ddj-78	474	30	each	each	DET
ddj-78	474	31	equivalence	equivalence	NOUN
ddj-78	474	32	class	class	NOUN
ddj-78	474	33	of	of	ADP
ddj-78	474	34	cycles	cycle	NOUN
ddj-78	474	35	and	and	CCONJ
ddj-78	474	36	therefore	therefore	ADV
ddj-78	474	37	less	less	ADJ
ddj-78	474	38	than	than	ADP
ddj-78	474	39	210	210	NUM
ddj-78	474	40	.	.	PUNCT
ddj-78	475	1	by	by	ADP
ddj-78	475	2	the	the	DET
ddj-78	475	3	previous	previous	ADJ
ddj-78	475	4	argument	argument	NOUN
ddj-78	475	5	related	relate	VERB
ddj-78	475	6	to	to	ADP
ddj-78	475	7	icosatetrahedral	icosatetrahedral	ADJ
ddj-78	475	8	code	code	NOUN
ddj-78	475	9	,	,	PUNCT
ddj-78	475	10	t	t	PROPN
ddj-78	475	11	and	and	CCONJ
ddj-78	475	12	the	the	DET
ddj-78	475	13	triangle	triangle	NOUN
ddj-78	475	14	opposite	opposite	ADJ
ddj-78	475	15	to	to	ADP
ddj-78	475	16	it	it	PRON
ddj-78	475	17	can	can	AUX
ddj-78	475	18	not	not	PART
ddj-78	475	19	however	however	ADV
ddj-78	475	20	correspond	correspond	VERB
ddj-78	475	21	to	to	ADP
ddj-78	475	22	amino	amino	NOUN
ddj-78	475	23	-	-	PUNCT
ddj-78	475	24	acids	acid	NOUN
ddj-78	475	25	coded	code	VERB
ddj-78	475	26	by	by	ADP
ddj-78	475	27	1	1	NUM
ddj-78	475	28	codon	codon	NOUN
ddj-78	475	29	as	as	SCONJ
ddj-78	475	30	one	one	PRON
ddj-78	475	31	might	might	AUX
ddj-78	475	32	guess	guess	VERB
ddj-78	475	33	first	first	ADV
ddj-78	475	34	.	.	PUNCT
ddj-78	476	1	rather	rather	ADV
ddj-78	476	2	,	,	PUNCT
ddj-78	476	3	t	t	PROPN
ddj-78	476	4	corresponds	correspond	VERB
ddj-78	476	5	to	to	ADP
ddj-78	476	6	”	"	PUNCT
ddj-78	476	7	empty	empty	ADJ
ddj-78	476	8	”	"	PUNCT
ddj-78	476	9	aminoacid	aminoacid	NOUN
ddj-78	476	10	and	and	CCONJ
ddj-78	476	11	to	to	ADP
ddj-78	476	12	1	1	NUM
ddj-78	476	13	-	-	PUNCT
ddj-78	476	14	quint	quint	NOUN
ddj-78	476	15	triangle	triangle	NOUN
ddj-78	476	16	belonging	belong	VERB
ddj-78	476	17	to	to	ADP
ddj-78	476	18	z2	z2	PROPN
ddj-78	476	19	orbit	orbit	NOUN
ddj-78	476	20	.	.	PUNCT
ddj-78	477	1	the	the	DET
ddj-78	477	2	number	number	NOUN
ddj-78	477	3	of	of	ADP
ddj-78	477	4	cycles	cycle	NOUN
ddj-78	477	5	should	should	AUX
ddj-78	477	6	be	be	AUX
ddj-78	477	7	210	210	NUM
ddj-78	477	8	.	.	PUNCT
ddj-78	478	1	one	one	PRON
ddj-78	478	2	can	can	AUX
ddj-78	478	3	try	try	VERB
ddj-78	478	4	to	to	PART
ddj-78	478	5	estimate	estimate	VERB
ddj-78	478	6	this	this	DET
ddj-78	478	7	number	number	NOUN
ddj-78	478	8	from	from	ADP
ddj-78	478	9	the	the	DET
ddj-78	478	10	construction	construction	NOUN
ddj-78	478	11	.	.	PUNCT
ddj-78	479	1	each	each	DET
ddj-78	479	2	bi	bi	PROPN
ddj-78	479	3	,	,	PUNCT
ddj-78	479	4	j	j	PROPN
ddj-78	479	5	can	can	AUX
ddj-78	479	6	be	be	AUX
ddj-78	479	7	chosen	choose	VERB
ddj-78	479	8	in	in	ADP
ddj-78	479	9	4	4	NUM
ddj-78	479	10	manners	manner	NOUN
ddj-78	479	11	at	at	ADP
ddj-78	479	12	the	the	DET
ddj-78	479	13	first	first	ADJ
ddj-78	479	14	step	step	NOUN
ddj-78	479	15	but	but	CCONJ
ddj-78	479	16	at	at	ADP
ddj-78	479	17	later	later	ADV
ddj-78	479	18	steps	step	NOUN
ddj-78	479	19	some	some	DET
ddj-78	479	20	vertices	vertex	NOUN
ddj-78	479	21	of	of	ADP
ddj-78	479	22	the	the	DET
ddj-78	479	23	neighboring	neighbor	VERB
ddj-78	479	24	pentagon	pentagon	NOUN
ddj-78	479	25	might	might	AUX
ddj-78	479	26	have	have	AUX
ddj-78	479	27	been	be	AUX
ddj-78	479	28	already	already	ADV
ddj-78	479	29	visited	visit	VERB
ddj-78	479	30	and	and	CCONJ
ddj-78	479	31	this	this	PRON
ddj-78	479	32	reduces	reduce	VERB
ddj-78	479	33	the	the	DET
ddj-78	479	34	available	available	ADJ
ddj-78	479	35	vertices	vertex	NOUN
ddj-78	479	36	by	by	ADP
ddj-78	479	37	n+	n+	ADP
ddj-78	479	38	1	1	NUM
ddj-78	479	39	if	if	SCONJ
ddj-78	479	40	n	n	NUM
ddj-78	479	41	subsequent	subsequent	ADJ
ddj-78	479	42	edges	edge	NOUN
ddj-78	479	43	are	be	AUX
ddj-78	479	44	visited	visit	VERB
ddj-78	479	45	.	.	PUNCT
ddj-78	480	1	at	at	ADP
ddj-78	480	2	each	each	DET
ddj-78	480	3	vertex	vertex	NOUN
ddj-78	480	4	bi	bi	PROPN
ddj-78	480	5	,	,	PUNCT
ddj-78	480	6	j	j	PROPN
ddj-78	480	7	one	one	NUM
ddj-78	480	8	has	have	VERB
ddj-78	480	9	4	4	NUM
ddj-78	480	10	options	option	NOUN
ddj-78	480	11	for	for	ADP
ddj-78	480	12	the	the	DET
ddj-78	480	13	choice	choice	NOUN
ddj-78	480	14	of	of	ADP
ddj-78	480	15	the	the	DET
ddj-78	480	16	boundary	boundary	ADJ
ddj-78	480	17	edges	edge	NOUN
ddj-78	480	18	unless	unless	SCONJ
ddj-78	480	19	some	some	DET
ddj-78	480	20	boundary	boundary	ADJ
ddj-78	480	21	edges	edge	NOUN
ddj-78	480	22	of	of	ADP
ddj-78	480	23	pentagon	pentagon	PROPN
ddj-78	480	24	(	(	PUNCT
ddj-78	480	25	shared	share	VERB
ddj-78	480	26	with	with	ADP
ddj-78	480	27	other	other	ADJ
ddj-78	480	28	pentagons	pentagon	NOUN
ddj-78	480	29	)	)	PUNCT
ddj-78	480	30	have	have	AUX
ddj-78	480	31	been	be	AUX
ddj-78	480	32	already	already	ADV
ddj-78	480	33	visited	visit	VERB
ddj-78	480	34	.	.	PUNCT
ddj-78	481	1	it	it	PRON
ddj-78	481	2	is	be	AUX
ddj-78	481	3	also	also	ADV
ddj-78	481	4	possible	possible	ADJ
ddj-78	481	5	that	that	SCONJ
ddj-78	481	6	the	the	DET
ddj-78	481	7	number	number	NOUN
ddj-78	481	8	of	of	ADP
ddj-78	481	9	boundary	boundary	ADJ
ddj-78	481	10	edges	edge	NOUN
ddj-78	481	11	vanishes	vanish	VERB
ddj-78	481	12	.	.	PUNCT
ddj-78	482	1	one	one	PRON
ddj-78	482	2	can	can	AUX
ddj-78	482	3	start	start	VERB
ddj-78	482	4	from	from	ADP
ddj-78	482	5	any	any	DET
ddj-78	482	6	vertex	vertex	NOUN
ddj-78	482	7	of	of	ADP
ddj-78	482	8	triangle	triangle	NOUN
ddj-78	482	9	.	.	PUNCT
ddj-78	483	1	this	this	PRON
ddj-78	483	2	gives	give	VERB
ddj-78	483	3	the	the	DET
ddj-78	483	4	upper	upper	ADJ
ddj-78	483	5	bound	bind	VERB
ddj-78	483	6	of	of	ADP
ddj-78	483	7	24	24	NUM
ddj-78	483	8	choices	choice	NOUN
ddj-78	483	9	giving	give	VERB
ddj-78	483	10	n	n	CCONJ
ddj-78	483	11	<	<	X
ddj-78	483	12	212	212	NUM
ddj-78	483	13	paths	path	NOUN
ddj-78	483	14	going	go	VERB
ddj-78	483	15	through	through	ADP
ddj-78	483	16	4	4	NUM
ddj-78	483	17	pentagon	pentagon	NOUN
ddj-78	483	18	-	-	PUNCT
ddj-78	483	19	like	like	ADJ
ddj-78	483	20	regions	region	NOUN
ddj-78	483	21	.	.	PUNCT
ddj-78	484	1	the	the	DET
ddj-78	484	2	condition	condition	NOUN
ddj-78	484	3	that	that	SCONJ
ddj-78	484	4	the	the	DET
ddj-78	484	5	path	path	NOUN
ddj-78	484	6	is	be	AUX
ddj-78	484	7	closed	closed	ADJ
ddj-78	484	8	,	,	PUNCT
ddj-78	484	9	poses	pose	VERB
ddj-78	484	10	constraints	constraint	NOUN
ddj-78	484	11	on	on	ADP
ddj-78	484	12	the	the	DET
ddj-78	484	13	edge	edge	NOUN
ddj-78	484	14	path	path	NOUN
ddj-78	484	15	assignable	assignable	ADJ
ddj-78	484	16	to	to	ADP
ddj-78	484	17	t	t	NOUN
ddj-78	484	18	but	but	CCONJ
ddj-78	484	19	the	the	DET
ddj-78	484	20	number	number	NOUN
ddj-78	484	21	of	of	ADP
ddj-78	484	22	choices	choice	NOUN
ddj-78	484	23	is	be	AUX
ddj-78	484	24	roughly	roughly	ADV
ddj-78	484	25	24	24	NUM
ddj-78	484	26	.	.	PUNCT
ddj-78	485	1	the	the	DET
ddj-78	485	2	condition	condition	NOUN
ddj-78	485	3	that	that	SCONJ
ddj-78	485	4	path	path	NOUN
ddj-78	485	5	goes	go	VERB
ddj-78	485	6	through	through	ADP
ddj-78	485	7	all	all	DET
ddj-78	485	8	vertices	vertex	NOUN
ddj-78	485	9	and	and	CCONJ
ddj-78	485	10	that	that	SCONJ
ddj-78	485	11	no	no	DET
ddj-78	485	12	edge	edge	NOUN
ddj-78	485	13	is	be	AUX
ddj-78	485	14	traversed	traverse	VERB
ddj-78	485	15	twice	twice	ADV
ddj-78	485	16	must	must	AUX
ddj-78	485	17	reduce	reduce	VERB
ddj-78	485	18	this	this	DET
ddj-78	485	19	number	number	NOUN
ddj-78	485	20	to	to	ADP
ddj-78	485	21	210	210	NUM
ddj-78	485	22	.	.	PUNCT
ddj-78	486	1	the	the	DET
ddj-78	486	2	numerical	numerical	ADJ
ddj-78	486	3	construction	construction	NOUN
ddj-78	486	4	of	of	ADP
ddj-78	486	5	hamiltonian	hamiltonian	ADJ
ddj-78	486	6	cycles	cycle	NOUN
ddj-78	486	7	should	should	AUX
ddj-78	486	8	keep	keep	VERB
ddj-78	486	9	account	account	NOUN
ddj-78	486	10	about	about	ADP
ddj-78	486	11	the	the	DET
ddj-78	486	12	number	number	NOUN
ddj-78	486	13	of	of	ADP
ddj-78	486	14	vertices	vertex	NOUN
ddj-78	486	15	visited	visit	VERB
ddj-78	486	16	and	and	CCONJ
ddj-78	486	17	this	this	PRON
ddj-78	486	18	would	would	AUX
ddj-78	486	19	reduce	reduce	VERB
ddj-78	486	20	the	the	DET
ddj-78	486	21	number	number	NOUN
ddj-78	486	22	of	of	ADP
ddj-78	486	23	candidates	candidate	NOUN
ddj-78	486	24	for	for	ADP
ddj-78	486	25	b(i	b(i	PROPN
ddj-78	486	26	,	,	PUNCT
ddj-78	486	27	j	j	NOUN
ddj-78	486	28	)	)	PUNCT
ddj-78	486	29	and	and	CCONJ
ddj-78	486	30	for	for	ADP
ddj-78	486	31	the	the	DET
ddj-78	486	32	choices	choice	NOUN
ddj-78	486	33	of	of	ADP
ddj-78	486	34	p	p	NOUN
ddj-78	486	35	(	(	PUNCT
ddj-78	486	36	i	i	NOUN
ddj-78	486	37	)	)	PUNCT
ddj-78	486	38	for	for	ADP
ddj-78	486	39	i	i	PRON
ddj-78	486	40	>	>	X
ddj-78	486	41	1	1	NUM
ddj-78	486	42	as	as	ADV
ddj-78	486	43	well	well	ADV
ddj-78	486	44	as	as	ADP
ddj-78	486	45	the	the	DET
ddj-78	486	46	number	number	NOUN
ddj-78	486	47	of	of	ADP
ddj-78	486	48	edge	edge	NOUN
ddj-78	486	49	paths	path	NOUN
ddj-78	486	50	associated	associate	VERB
ddj-78	486	51	with	with	ADP
ddj-78	486	52	t	t	PROPN
ddj-78	486	53	.	.	PUNCT
ddj-78	487	1	isbn	isbn	ADJ
ddj-78	487	2	:	:	PUNCT
ddj-78	487	3	2159	2159	NUM
ddj-78	487	4	-	-	PUNCT
ddj-78	487	5	046x	046x	NOUN
ddj-78	487	6	dna	dna	NOUN
ddj-78	487	7	decipher	decipher	PROPN
ddj-78	487	8	journal	journal	PROPN
ddj-78	487	9	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	487	10	published	publish	VERB
ddj-78	487	11	by	by	ADP
ddj-78	487	12	quantumdream	quantumdream	PROPN
ddj-78	487	13	,	,	PUNCT
ddj-78	487	14	inc	inc	PROPN
ddj-78	487	15	.	.	PROPN
ddj-78	487	16	dna	dna	PROPN
ddj-78	487	17	decipher	decipher	PROPN
ddj-78	487	18	journal	journal	PROPN
ddj-78	488	1	|	|	ADV
ddj-78	488	2	october	october	PROPN
ddj-78	488	3	2014	2014	NUM
ddj-78	488	4	|	|	ADV
ddj-78	488	5	volume	volume	NOUN
ddj-78	488	6	4	4	NUM
ddj-78	488	7	|	|	NOUN
ddj-78	488	8	issue	issue	VERB
ddj-78	488	9	2	2	NUM
ddj-78	488	10	|	|	CCONJ
ddj-78	488	11	pp	pp	ADJ
ddj-78	488	12	.	.	PUNCT
ddj-78	489	1	141	141	NUM
ddj-78	489	2	-	-	SYM
ddj-78	489	3	160	160	NUM
ddj-78	489	4	158	158	NUM
ddj-78	489	5	pitkänen	pitkänen	NOUN
ddj-78	489	6	,	,	PUNCT
ddj-78	489	7	m.	m.	NOUN
ddj-78	489	8	pythagoras	pythagoras	PROPN
ddj-78	489	9	,	,	PUNCT
ddj-78	489	10	music	music	NOUN
ddj-78	489	11	,	,	PUNCT
ddj-78	489	12	sacred	sacred	ADJ
ddj-78	489	13	geometry	geometry	NOUN
ddj-78	489	14	and	and	CCONJ
ddj-78	489	15	genetic	genetic	ADJ
ddj-78	489	16	code	code	NOUN
ddj-78	489	17	4	4	NUM
ddj-78	489	18	other	other	ADJ
ddj-78	489	19	ideas	idea	NOUN
ddj-78	489	20	the	the	DET
ddj-78	489	21	book	book	NOUN
ddj-78	489	22	of	of	ADP
ddj-78	489	23	merrick	merrick	PROPN
ddj-78	489	24	discusses	discuss	VERB
ddj-78	489	25	also	also	ADV
ddj-78	489	26	other	other	ADJ
ddj-78	489	27	ideas	idea	NOUN
ddj-78	489	28	.	.	PUNCT
ddj-78	490	1	the	the	DET
ddj-78	490	2	attempts	attempt	NOUN
ddj-78	490	3	to	to	PART
ddj-78	490	4	understand	understand	VERB
ddj-78	490	5	music	music	NOUN
ddj-78	490	6	in	in	ADP
ddj-78	490	7	tgd	tgd	PROPN
ddj-78	490	8	framework	framework	NOUN
ddj-78	490	9	relate	relate	VERB
ddj-78	490	10	to	to	ADP
ddj-78	490	11	these	these	DET
ddj-78	490	12	ideas	idea	NOUN
ddj-78	490	13	.	.	PUNCT
ddj-78	491	1	4.1	4.1	NUM
ddj-78	491	2	p	p	ADJ
ddj-78	491	3	-	-	PUNCT
ddj-78	491	4	adic	adic	NOUN
ddj-78	491	5	length	length	NOUN
ddj-78	491	6	scale	scale	NOUN
ddj-78	491	7	hypothesis	hypothesis	NOUN
ddj-78	491	8	and	and	CCONJ
ddj-78	491	9	music	music	NOUN
ddj-78	491	10	one	one	NUM
ddj-78	491	11	of	of	ADP
ddj-78	491	12	the	the	DET
ddj-78	491	13	key	key	ADJ
ddj-78	491	14	ideas	idea	NOUN
ddj-78	491	15	is	be	AUX
ddj-78	491	16	the	the	DET
ddj-78	491	17	reduction	reduction	NOUN
ddj-78	491	18	of	of	ADP
ddj-78	491	19	the	the	DET
ddj-78	491	20	octave	octave	NOUN
ddj-78	491	21	phenomenon	phenomenon	NOUN
ddj-78	491	22	to	to	ADP
ddj-78	491	23	the	the	DET
ddj-78	491	24	p	p	NOUN
ddj-78	491	25	-	-	PUNCT
ddj-78	491	26	adic	adic	NOUN
ddj-78	491	27	length	length	NOUN
ddj-78	491	28	scale	scale	NOUN
ddj-78	491	29	hypothesis	hypothesis	NOUN
ddj-78	491	30	predicting	predict	VERB
ddj-78	491	31	that	that	SCONJ
ddj-78	491	32	octaves	octave	NOUN
ddj-78	491	33	and	and	CCONJ
ddj-78	491	34	half	half	ADJ
ddj-78	491	35	-	-	PUNCT
ddj-78	491	36	octaves	octave	NOUN
ddj-78	491	37	correspond	correspond	VERB
ddj-78	491	38	to	to	ADP
ddj-78	491	39	p	p	NOUN
ddj-78	491	40	-	-	PUNCT
ddj-78	491	41	adic	adic	ADJ
ddj-78	491	42	scalings	scaling	NOUN
ddj-78	491	43	allowed	allow	VERB
ddj-78	491	44	by	by	ADP
ddj-78	491	45	the	the	DET
ddj-78	491	46	hypothesis	hypothesis	NOUN
ddj-78	491	47	p	p	NOUN
ddj-78	491	48	'	'	PUNCT
ddj-78	491	49	2k	2k	NOUN
ddj-78	491	50	for	for	ADP
ddj-78	491	51	the	the	DET
ddj-78	491	52	preferred	preferred	ADJ
ddj-78	491	53	values	value	NOUN
ddj-78	491	54	of	of	ADP
ddj-78	491	55	the	the	DET
ddj-78	491	56	p	p	NOUN
ddj-78	491	57	-	-	PUNCT
ddj-78	491	58	adic	adic	ADJ
ddj-78	491	59	primes	prime	NOUN
ddj-78	491	60	,	,	PUNCT
ddj-78	491	61	and	and	CCONJ
ddj-78	491	62	yielding	yield	VERB
ddj-78	491	63	scaled	scale	VERB
ddj-78	491	64	variants	variant	NOUN
ddj-78	491	65	of	of	ADP
ddj-78	491	66	physical	physical	ADJ
ddj-78	491	67	systems	system	NOUN
ddj-78	491	68	.	.	PUNCT
ddj-78	492	1	this	this	DET
ddj-78	492	2	idea	idea	NOUN
ddj-78	492	3	will	will	AUX
ddj-78	492	4	not	not	PART
ddj-78	492	5	be	be	AUX
ddj-78	492	6	discussed	discuss	VERB
ddj-78	492	7	in	in	ADP
ddj-78	492	8	the	the	DET
ddj-78	492	9	following	following	NOUN
ddj-78	492	10	:	:	PUNCT
ddj-78	492	11	suffice	suffice	VERB
ddj-78	492	12	it	it	PRON
ddj-78	492	13	to	to	PART
ddj-78	492	14	say	say	VERB
ddj-78	492	15	that	that	PRON
ddj-78	492	16	pythagorean	pythagorean	PROPN
ddj-78	492	17	scale	scale	NOUN
ddj-78	492	18	coming	come	VERB
ddj-78	492	19	as	as	ADP
ddj-78	492	20	powers	power	NOUN
ddj-78	492	21	of	of	ADP
ddj-78	492	22	p	p	NOUN
ddj-78	492	23	=	=	NOUN
ddj-78	492	24	3	3	NUM
ddj-78	492	25	strongly	strongly	ADV
ddj-78	492	26	suggests	suggest	VERB
ddj-78	492	27	approximate	approximate	ADJ
ddj-78	492	28	3	3	NUM
ddj-78	492	29	-	-	PUNCT
ddj-78	492	30	adicity	adicity	NOUN
ddj-78	492	31	.	.	PUNCT
ddj-78	493	1	4.2	4.2	NUM
ddj-78	493	2	eeg	eeg	NOUN
ddj-78	493	3	and	and	CCONJ
ddj-78	493	4	music	music	NOUN
ddj-78	493	5	first	first	ADV
ddj-78	493	6	of	of	ADP
ddj-78	493	7	the	the	DET
ddj-78	493	8	key	key	ADJ
ddj-78	493	9	ideas	idea	NOUN
ddj-78	493	10	relates	relate	VERB
ddj-78	493	11	to	to	ADP
ddj-78	493	12	the	the	DET
ddj-78	493	13	idea	idea	NOUN
ddj-78	493	14	that	that	SCONJ
ddj-78	493	15	genetic	genetic	ADJ
ddj-78	493	16	code	code	NOUN
ddj-78	493	17	relates	relate	VERB
ddj-78	493	18	to	to	ADP
ddj-78	493	19	the	the	DET
ddj-78	493	20	music	music	NOUN
ddj-78	493	21	scale	scale	NOUN
ddj-78	493	22	.	.	PUNCT
ddj-78	494	1	1	1	X
ddj-78	494	2	.	.	X
ddj-78	494	3	music	music	NOUN
ddj-78	494	4	metaphor	metaphor	NOUN
ddj-78	494	5	is	be	AUX
ddj-78	494	6	key	key	ADJ
ddj-78	494	7	element	element	NOUN
ddj-78	494	8	of	of	ADP
ddj-78	494	9	tgd	tgd	PROPN
ddj-78	494	10	inspired	inspire	VERB
ddj-78	494	11	view	view	NOUN
ddj-78	494	12	about	about	ADP
ddj-78	494	13	biology	biology	NOUN
ddj-78	494	14	and	and	CCONJ
ddj-78	494	15	neuroscience	neuroscience	NOUN
ddj-78	494	16	.	.	PUNCT
ddj-78	495	1	in	in	ADP
ddj-78	495	2	particular	particular	ADJ
ddj-78	495	3	,	,	PUNCT
ddj-78	495	4	tgd	tgd	PROPN
ddj-78	495	5	based	base	VERB
ddj-78	495	6	view	view	NOUN
ddj-78	495	7	about	about	ADP
ddj-78	495	8	dark	dark	ADJ
ddj-78	495	9	matter	matter	NOUN
ddj-78	495	10	leads	lead	VERB
ddj-78	495	11	to	to	ADP
ddj-78	495	12	the	the	DET
ddj-78	495	13	proposal	proposal	NOUN
ddj-78	495	14	that	that	SCONJ
ddj-78	495	15	bio	bio	NOUN
ddj-78	495	16	-	-	NOUN
ddj-78	495	17	photons	photon	NOUN
ddj-78	495	18	are	be	AUX
ddj-78	495	19	ordinary	ordinary	ADJ
ddj-78	495	20	photons	photon	NOUN
ddj-78	495	21	resulting	result	VERB
ddj-78	495	22	as	as	ADP
ddj-78	495	23	transformations	transformation	NOUN
ddj-78	495	24	of	of	ADP
ddj-78	495	25	dark	dark	ADJ
ddj-78	495	26	photons	photon	NOUN
ddj-78	495	27	with	with	ADP
ddj-78	495	28	large	large	ADJ
ddj-78	495	29	planck	planck	NOUN
ddj-78	495	30	constant	constant	ADJ
ddj-78	495	31	heff	heff	PROPN
ddj-78	495	32	=	=	PROPN
ddj-78	495	33	nh	nh	PROPN
ddj-78	495	34	to	to	ADP
ddj-78	495	35	ordinary	ordinary	ADJ
ddj-78	495	36	photons	photon	NOUN
ddj-78	495	37	.	.	PUNCT
ddj-78	496	1	the	the	DET
ddj-78	496	2	further	further	ADJ
ddj-78	496	3	hypothesis	hypothesis	NOUN
ddj-78	496	4	is	be	AUX
ddj-78	496	5	that	that	SCONJ
ddj-78	496	6	the	the	DET
ddj-78	496	7	energy	energy	NOUN
ddj-78	496	8	spectrum	spectrum	NOUN
ddj-78	496	9	of	of	ADP
ddj-78	496	10	bio	bio	NOUN
ddj-78	496	11	-	-	NOUN
ddj-78	496	12	photons	photon	NOUN
ddj-78	496	13	is	be	AUX
ddj-78	496	14	universal	universal	ADJ
ddj-78	496	15	and	and	CCONJ
ddj-78	496	16	contains	contain	VERB
ddj-78	496	17	visible	visible	ADJ
ddj-78	496	18	photons	photon	NOUN
ddj-78	496	19	and	and	CCONJ
ddj-78	496	20	uv	uv	NOUN
ddj-78	496	21	photons	photon	NOUN
ddj-78	496	22	,	,	PUNCT
ddj-78	496	23	which	which	PRON
ddj-78	496	24	defined	define	VERB
ddj-78	496	25	transition	transition	NOUN
ddj-78	496	26	energies	energy	NOUN
ddj-78	496	27	of	of	ADP
ddj-78	496	28	biomolecules	biomolecule	NOUN
ddj-78	496	29	.	.	PUNCT
ddj-78	497	1	this	this	DET
ddj-78	497	2	hypothesis	hypothesis	NOUN
ddj-78	497	3	follows	follow	VERB
ddj-78	497	4	if	if	SCONJ
ddj-78	497	5	the	the	DET
ddj-78	497	6	value	value	NOUN
ddj-78	497	7	of	of	ADP
ddj-78	497	8	heff	heff	PROPN
ddj-78	497	9	assignable	assignable	ADJ
ddj-78	497	10	to	to	ADP
ddj-78	497	11	a	a	DET
ddj-78	497	12	magnetic	magnetic	ADJ
ddj-78	497	13	flux	flux	NOUN
ddj-78	497	14	tube	tube	NOUN
ddj-78	497	15	characterizes	characterize	VERB
ddj-78	497	16	ion	ion	NOUN
ddj-78	497	17	and	and	CCONJ
ddj-78	497	18	is	be	AUX
ddj-78	497	19	proportional	proportional	ADJ
ddj-78	497	20	to	to	ADP
ddj-78	497	21	its	its	PRON
ddj-78	497	22	mass	mass	ADJ
ddj-78	497	23	number	number	NOUN
ddj-78	497	24	.	.	PUNCT
ddj-78	498	1	the	the	DET
ddj-78	498	2	notion	notion	NOUN
ddj-78	498	3	of	of	ADP
ddj-78	498	4	gravitational	gravitational	ADJ
ddj-78	498	5	planck	planck	NOUN
ddj-78	498	6	constant	constant	ADJ
ddj-78	498	7	identified	identify	VERB
ddj-78	498	8	as	as	ADP
ddj-78	498	9	hgr	hgr	PROPN
ddj-78	498	10	=	=	PUNCT
ddj-78	498	11	gmm	gmm	PROPN
ddj-78	498	12	/	/	SYM
ddj-78	498	13	v0	v0	PROPN
ddj-78	498	14	,	,	PUNCT
ddj-78	498	15	where	where	SCONJ
ddj-78	498	16	v0	v0	NOUN
ddj-78	498	17	is	be	AUX
ddj-78	498	18	a	a	DET
ddj-78	498	19	velocity	velocity	NOUN
ddj-78	498	20	parameter	parameter	NOUN
ddj-78	498	21	assignable	assignable	ADJ
ddj-78	498	22	to	to	ADP
ddj-78	498	23	the	the	DET
ddj-78	498	24	two	two	NUM
ddj-78	498	25	-	-	PUNCT
ddj-78	498	26	particle	particle	NOUN
ddj-78	498	27	system	system	NOUN
ddj-78	498	28	can	can	AUX
ddj-78	498	29	be	be	AUX
ddj-78	498	30	identified	identify	VERB
ddj-78	498	31	in	in	ADP
ddj-78	498	32	the	the	DET
ddj-78	498	33	case	case	NOUN
ddj-78	498	34	of	of	ADP
ddj-78	498	35	elementary	elementary	ADJ
ddj-78	498	36	particles	particle	NOUN
ddj-78	498	37	and	and	CCONJ
ddj-78	498	38	ions	ion	NOUN
ddj-78	498	39	with	with	ADP
ddj-78	498	40	heff	heff	PROPN
ddj-78	498	41	and	and	CCONJ
ddj-78	498	42	predicts	predict	VERB
ddj-78	498	43	also	also	ADV
ddj-78	498	44	the	the	DET
ddj-78	498	45	universality	universality	NOUN
ddj-78	498	46	of	of	ADP
ddj-78	498	47	bio	bio	ADJ
ddj-78	498	48	-	-	ADJ
ddj-78	498	49	photon	photon	NOUN
ddj-78	498	50	spectrum	spectrum	NOUN
ddj-78	498	51	.	.	PUNCT
ddj-78	499	1	2	2	X
ddj-78	499	2	.	.	X
ddj-78	499	3	in	in	ADP
ddj-78	499	4	this	this	DET
ddj-78	499	5	framework	framework	NOUN
ddj-78	499	6	bio	bio	NOUN
ddj-78	499	7	-	-	NOUN
ddj-78	499	8	photons	photon	NOUN
ddj-78	499	9	would	would	AUX
ddj-78	499	10	represent	represent	VERB
ddj-78	499	11	music	music	NOUN
ddj-78	499	12	as	as	ADP
ddj-78	499	13	light	light	NOUN
ddj-78	499	14	inducing	induce	VERB
ddj-78	499	15	molecular	molecular	ADJ
ddj-78	499	16	transitions	transition	NOUN
ddj-78	499	17	.	.	PUNCT
ddj-78	500	1	notes	note	NOUN
ddj-78	500	2	that	that	PRON
ddj-78	500	3	is	be	AUX
ddj-78	500	4	different	different	ADJ
ddj-78	500	5	energies	energy	NOUN
ddj-78	500	6	of	of	ADP
ddj-78	500	7	bio	bio	NOUN
ddj-78	500	8	-	-	NOUN
ddj-78	500	9	photons	photon	NOUN
ddj-78	500	10	would	would	AUX
ddj-78	500	11	correspond	correspond	VERB
ddj-78	500	12	to	to	ADP
ddj-78	500	13	different	different	ADJ
ddj-78	500	14	magnetic	magnetic	ADJ
ddj-78	500	15	field	field	NOUN
ddj-78	500	16	strengths	strength	NOUN
ddj-78	500	17	at	at	ADP
ddj-78	500	18	magnetic	magnetic	ADJ
ddj-78	500	19	flux	flux	PROPN
ddj-78	500	20	tubes	tube	NOUN
ddj-78	500	21	as	as	SCONJ
ddj-78	500	22	was	be	AUX
ddj-78	500	23	proposed	propose	VERB
ddj-78	500	24	much	much	ADV
ddj-78	500	25	earlier	early	ADV
ddj-78	500	26	in	in	ADP
ddj-78	500	27	the	the	DET
ddj-78	500	28	quantum	quantum	ADJ
ddj-78	500	29	model	model	NOUN
ddj-78	500	30	of	of	ADP
ddj-78	500	31	hearing	hear	VERB
ddj-78	500	32	[	[	X
ddj-78	500	33	10	10	NUM
ddj-78	500	34	]	]	PUNCT
ddj-78	500	35	.	.	PUNCT
ddj-78	501	1	could	could	AUX
ddj-78	501	2	the	the	DET
ddj-78	501	3	biochemical	biochemical	ADJ
ddj-78	501	4	and	and	CCONJ
ddj-78	501	5	physiological	physiological	ADJ
ddj-78	501	6	aspects	aspect	NOUN
ddj-78	501	7	involved	involve	VERB
ddj-78	501	8	with	with	ADP
ddj-78	501	9	the	the	DET
ddj-78	501	10	generation	generation	NOUN
ddj-78	501	11	of	of	ADP
ddj-78	501	12	music	music	NOUN
ddj-78	501	13	experience	experience	NOUN
ddj-78	501	14	be	be	AUX
ddj-78	501	15	realized	realize	VERB
ddj-78	501	16	in	in	ADP
ddj-78	501	17	terms	term	NOUN
ddj-78	501	18	of	of	ADP
ddj-78	501	19	bio	bio	ADJ
ddj-78	501	20	-	-	ADJ
ddj-78	501	21	photon	photon	NOUN
ddj-78	501	22	emission	emission	NOUN
ddj-78	501	23	induced	induce	VERB
ddj-78	501	24	by	by	ADP
ddj-78	501	25	the	the	DET
ddj-78	501	26	listening	listening	NOUN
ddj-78	501	27	of	of	ADP
ddj-78	501	28	music	music	NOUN
ddj-78	501	29	?	?	PUNCT
ddj-78	502	1	4.3	4.3	NUM
ddj-78	502	2	standing	stand	VERB
ddj-78	502	3	waves	wave	NOUN
ddj-78	502	4	and	and	CCONJ
ddj-78	502	5	music	music	NOUN
ddj-78	502	6	merrick	merrick	PROPN
ddj-78	502	7	consider	consider	VERB
ddj-78	502	8	the	the	DET
ddj-78	502	9	idea	idea	NOUN
ddj-78	502	10	that	that	SCONJ
ddj-78	502	11	standing	stand	VERB
ddj-78	502	12	waves	wave	NOUN
ddj-78	502	13	are	be	AUX
ddj-78	502	14	essential	essential	ADJ
ddj-78	502	15	for	for	ADP
ddj-78	502	16	music	music	NOUN
ddj-78	502	17	experience	experience	NOUN
ddj-78	502	18	.	.	PUNCT
ddj-78	503	1	preferred	preferred	ADJ
ddj-78	503	2	extremals	extremal	NOUN
ddj-78	503	3	of	of	ADP
ddj-78	503	4	kähler	kähler	NOUN
ddj-78	503	5	action	action	NOUN
ddj-78	503	6	representing	represent	VERB
ddj-78	503	7	standing	stand	VERB
ddj-78	503	8	waves	wave	NOUN
ddj-78	503	9	does	do	AUX
ddj-78	503	10	not	not	PART
ddj-78	503	11	seem	seem	VERB
ddj-78	503	12	to	to	PART
ddj-78	503	13	be	be	AUX
ddj-78	503	14	feasible	feasible	ADJ
ddj-78	503	15	.	.	PUNCT
ddj-78	504	1	the	the	DET
ddj-78	504	2	known	know	VERB
ddj-78	504	3	preferred	preferred	ADJ
ddj-78	504	4	extremals	extremal	NOUN
ddj-78	504	5	(	(	PUNCT
ddj-78	504	6	with	with	ADP
ddj-78	504	7	”	"	PUNCT
ddj-78	504	8	massless	massless	NOUN
ddj-78	504	9	extremals	extremal	NOUN
ddj-78	504	10	”	"	PUNCT
ddj-78	504	11	(	(	PUNCT
ddj-78	504	12	mes	me	NOUN
ddj-78	504	13	)	)	PUNCT
ddj-78	504	14	included	include	VERB
ddj-78	504	15	)	)	PUNCT
ddj-78	504	16	would	would	AUX
ddj-78	504	17	represent	represent	VERB
ddj-78	504	18	superpositions	superposition	NOUN
ddj-78	504	19	of	of	ADP
ddj-78	504	20	fourier	fourier	ADJ
ddj-78	504	21	components	component	NOUN
ddj-78	504	22	with	with	ADP
ddj-78	504	23	four	four	NUM
ddj-78	504	24	-	-	PUNCT
ddj-78	504	25	wave	wave	NOUN
ddj-78	504	26	-	-	PUNCT
ddj-78	504	27	vectors	vector	NOUN
ddj-78	504	28	which	which	PRON
ddj-78	504	29	are	be	AUX
ddj-78	504	30	proportional	proportional	ADJ
ddj-78	504	31	to	to	ADP
ddj-78	504	32	each	each	DET
ddj-78	504	33	other	other	ADJ
ddj-78	504	34	.	.	PUNCT
ddj-78	505	1	essentially	essentially	ADV
ddj-78	505	2	pulse	pulse	NOUN
ddj-78	505	3	propagating	propagate	VERB
ddj-78	505	4	in	in	ADP
ddj-78	505	5	fixed	fix	VERB
ddj-78	505	6	direction	direction	NOUN
ddj-78	505	7	.	.	PUNCT
ddj-78	506	1	for	for	ADP
ddj-78	506	2	more	more	ADJ
ddj-78	506	3	general	general	ADJ
ddj-78	506	4	extremals	extremal	NOUN
ddj-78	506	5	this	this	DET
ddj-78	506	6	direction	direction	NOUN
ddj-78	506	7	can	can	AUX
ddj-78	506	8	depend	depend	VERB
ddj-78	506	9	on	on	ADP
ddj-78	506	10	position	position	NOUN
ddj-78	506	11	.	.	PUNCT
ddj-78	507	1	although	although	SCONJ
ddj-78	507	2	standing	standing	ADJ
ddj-78	507	3	waves	wave	NOUN
ddj-78	507	4	are	be	AUX
ddj-78	507	5	not	not	PART
ddj-78	507	6	feasible	feasible	ADJ
ddj-78	507	7	,	,	PUNCT
ddj-78	507	8	effects	effect	NOUN
ddj-78	507	9	which	which	PRON
ddj-78	507	10	would	would	AUX
ddj-78	507	11	be	be	AUX
ddj-78	507	12	explained	explain	VERB
ddj-78	507	13	in	in	ADP
ddj-78	507	14	maxwell	maxwell	PROPN
ddj-78	507	15	’s	’s	PART
ddj-78	507	16	theory	theory	NOUN
ddj-78	507	17	in	in	ADP
ddj-78	507	18	terms	term	NOUN
ddj-78	507	19	of	of	ADP
ddj-78	507	20	standing	standing	ADJ
ddj-78	507	21	waves	wave	NOUN
ddj-78	507	22	are	be	AUX
ddj-78	507	23	possible	possible	ADJ
ddj-78	507	24	in	in	ADP
ddj-78	507	25	many	many	ADJ
ddj-78	507	26	-	-	PUNCT
ddj-78	507	27	sheeted	sheet	VERB
ddj-78	507	28	space	space	NOUN
ddj-78	507	29	-	-	PUNCT
ddj-78	507	30	time	time	NOUN
ddj-78	507	31	.	.	PUNCT
ddj-78	508	1	a	a	DET
ddj-78	508	2	particle	particle	NOUN
ddj-78	508	3	in	in	ADP
ddj-78	508	4	a	a	DET
ddj-78	508	5	region	region	NOUN
ddj-78	508	6	of	of	ADP
ddj-78	508	7	minkowski	minkowski	ADJ
ddj-78	508	8	space	space	NOUN
ddj-78	508	9	containing	contain	VERB
ddj-78	508	10	several	several	ADJ
ddj-78	508	11	space	space	NOUN
ddj-78	508	12	-	-	PUNCT
ddj-78	508	13	time	time	NOUN
ddj-78	508	14	sheets	sheet	NOUN
ddj-78	508	15	touches	touch	VERB
ddj-78	508	16	all	all	DET
ddj-78	508	17	space	space	NOUN
ddj-78	508	18	-	-	PUNCT
ddj-78	508	19	time	time	NOUN
ddj-78	508	20	sheets	sheet	NOUN
ddj-78	508	21	having	have	VERB
ddj-78	508	22	non	non	ADJ
ddj-78	508	23	-	-	ADJ
ddj-78	508	24	vanishing	vanishing	ADJ
ddj-78	508	25	minkowski	minkowski	ADJ
ddj-78	508	26	space	space	NOUN
ddj-78	508	27	projection	projection	NOUN
ddj-78	508	28	to	to	ADP
ddj-78	508	29	this	this	DET
ddj-78	508	30	region	region	NOUN
ddj-78	508	31	and	and	CCONJ
ddj-78	508	32	the	the	DET
ddj-78	508	33	forced	force	VERB
ddj-78	508	34	experience	experience	NOUN
ddj-78	508	35	by	by	ADP
ddj-78	508	36	it	it	PRON
ddj-78	508	37	is	be	AUX
ddj-78	508	38	sum	sum	NOUN
ddj-78	508	39	of	of	ADP
ddj-78	508	40	the	the	DET
ddj-78	508	41	forces	force	NOUN
ddj-78	508	42	caused	cause	VERB
ddj-78	508	43	by	by	ADP
ddj-78	508	44	them	they	PRON
ddj-78	508	45	.	.	PUNCT
ddj-78	509	1	this	this	PRON
ddj-78	509	2	leads	lead	VERB
ddj-78	509	3	to	to	ADP
ddj-78	509	4	an	an	DET
ddj-78	509	5	operational	operational	ADJ
ddj-78	509	6	defines	define	NOUN
ddj-78	509	7	of	of	ADP
ddj-78	509	8	gravitational	gravitational	ADJ
ddj-78	509	9	and	and	CCONJ
ddj-78	509	10	gauge	gauge	ADJ
ddj-78	509	11	fields	field	NOUN
ddj-78	509	12	of	of	ADP
ddj-78	509	13	einstein	einstein	NOUN
ddj-78	509	14	-	-	PUNCT
ddj-78	509	15	maxwell	maxwell	PROPN
ddj-78	509	16	limit	limit	NOUN
ddj-78	509	17	of	of	ADP
ddj-78	509	18	tgd	tgd	PROPN
ddj-78	509	19	as	as	ADP
ddj-78	509	20	sum	sum	NOUN
ddj-78	509	21	of	of	ADP
ddj-78	509	22	the	the	DET
ddj-78	509	23	deviations	deviation	NOUN
ddj-78	509	24	of	of	ADP
ddj-78	509	25	the	the	DET
ddj-78	509	26	induced	induce	VERB
ddj-78	509	27	metric	metric	NOUN
ddj-78	509	28	from	from	ADP
ddj-78	509	29	minkowski	minkowski	ADJ
ddj-78	509	30	metric	metric	NOUN
ddj-78	509	31	and	and	CCONJ
ddj-78	509	32	sum	sum	NOUN
ddj-78	509	33	of	of	ADP
ddj-78	509	34	the	the	DET
ddj-78	509	35	components	component	NOUN
ddj-78	509	36	of	of	ADP
ddj-78	509	37	the	the	DET
ddj-78	509	38	induced	induced	ADJ
ddj-78	509	39	spinor	spinor	NOUN
ddj-78	509	40	connection	connection	NOUN
ddj-78	509	41	defining	define	VERB
ddj-78	509	42	classical	classical	ADJ
ddj-78	509	43	gauge	gauge	NOUN
ddj-78	509	44	potentials	potential	NOUN
ddj-78	509	45	in	in	ADP
ddj-78	509	46	tgd	tgd	PROPN
ddj-78	509	47	framework	framework	NOUN
ddj-78	509	48	.	.	PUNCT
ddj-78	510	1	test	test	NOUN
ddj-78	510	2	particles	particle	NOUN
ddj-78	510	3	can	can	AUX
ddj-78	510	4	clearly	clearly	ADV
ddj-78	510	5	experience	experience	VERB
ddj-78	510	6	the	the	DET
ddj-78	510	7	presence	presence	NOUN
ddj-78	510	8	of	of	ADP
ddj-78	510	9	standing	standing	ADJ
ddj-78	510	10	waves	wave	NOUN
ddj-78	510	11	.	.	PUNCT
ddj-78	511	1	it	it	PRON
ddj-78	511	2	is	be	AUX
ddj-78	511	3	enough	enough	ADJ
ddj-78	511	4	to	to	PART
ddj-78	511	5	take	take	VERB
ddj-78	511	6	two	two	NUM
ddj-78	511	7	massless	massless	NOUN
ddj-78	511	8	extremals	extremal	NOUN
ddj-78	511	9	with	with	ADP
ddj-78	511	10	opposite	opposite	ADJ
ddj-78	511	11	directions	direction	NOUN
ddj-78	511	12	of	of	ADP
ddj-78	511	13	three	three	NUM
ddj-78	511	14	momentum	momentum	NOUN
ddj-78	511	15	but	but	CCONJ
ddj-78	511	16	same	same	ADJ
ddj-78	511	17	energy	energy	NOUN
ddj-78	511	18	with	with	ADP
ddj-78	511	19	non	non	ADJ
ddj-78	511	20	-	-	ADJ
ddj-78	511	21	empty	empty	ADJ
ddj-78	511	22	projections	projection	NOUN
ddj-78	511	23	to	to	ADP
ddj-78	511	24	same	same	ADJ
ddj-78	511	25	m4	m4	PROPN
ddj-78	511	26	region	region	NOUN
ddj-78	511	27	.	.	PUNCT
ddj-78	512	1	particle	particle	NOUN
ddj-78	512	2	with	with	ADP
ddj-78	512	3	experience	experience	NOUN
ddj-78	512	4	standing	stand	VERB
ddj-78	512	5	wave	wave	NOUN
ddj-78	512	6	oscillating	oscillate	VERB
ddj-78	512	7	with	with	ADP
ddj-78	512	8	the	the	DET
ddj-78	512	9	frequency	frequency	NOUN
ddj-78	512	10	involved	involve	VERB
ddj-78	512	11	.	.	PUNCT
ddj-78	513	1	the	the	DET
ddj-78	513	2	arrangements	arrangement	NOUN
ddj-78	513	3	in	in	ADP
ddj-78	513	4	which	which	PRON
ddj-78	513	5	photons	photon	NOUN
ddj-78	513	6	are	be	AUX
ddj-78	513	7	taken	take	VERB
ddj-78	513	8	to	to	PART
ddj-78	513	9	rest	rest	VERB
ddj-78	513	10	effectively	effectively	ADV
ddj-78	513	11	could	could	AUX
ddj-78	513	12	correspond	correspond	VERB
ddj-78	513	13	to	to	ADP
ddj-78	513	14	this	this	DET
ddj-78	513	15	kind	kind	NOUN
ddj-78	513	16	of	of	ADP
ddj-78	513	17	situations	situation	NOUN
ddj-78	513	18	since	since	SCONJ
ddj-78	513	19	if	if	SCONJ
ddj-78	513	20	it	it	PRON
ddj-78	513	21	is	be	AUX
ddj-78	513	22	the	the	DET
ddj-78	513	23	motion	motion	NOUN
ddj-78	513	24	of	of	ADP
ddj-78	513	25	test	test	NOUN
ddj-78	513	26	particles	particle	NOUN
ddj-78	513	27	which	which	PRON
ddj-78	513	28	serves	serve	VERB
ddj-78	513	29	as	as	ADP
ddj-78	513	30	a	a	DET
ddj-78	513	31	signature	signature	NOUN
ddj-78	513	32	.	.	PUNCT
ddj-78	514	1	note	note	VERB
ddj-78	514	2	however	however	ADV
ddj-78	514	3	that	that	SCONJ
ddj-78	514	4	there	there	PRON
ddj-78	514	5	are	be	VERB
ddj-78	514	6	also	also	ADV
ddj-78	514	7	isbn	isbn	ADJ
ddj-78	514	8	:	:	PUNCT
ddj-78	514	9	2159	2159	NUM
ddj-78	514	10	-	-	PUNCT
ddj-78	514	11	046x	046x	NOUN
ddj-78	514	12	dna	dna	NOUN
ddj-78	514	13	decipher	decipher	PROPN
ddj-78	514	14	journal	journal	PROPN
ddj-78	514	15	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-78	514	16	published	publish	VERB
ddj-78	514	17	by	by	ADP
ddj-78	514	18	quantumdream	quantumdream	PROPN
ddj-78	514	19	,	,	PUNCT
ddj-78	514	20	inc	inc	PROPN
ddj-78	514	21	.	.	PROPN
ddj-78	514	22	dna	dna	PROPN
ddj-78	514	23	decipher	decipher	PROPN
ddj-78	514	24	journal	journal	PROPN
ddj-78	515	1	|	|	ADV
ddj-78	515	2	october	october	PROPN
ddj-78	515	3	2014	2014	NUM
ddj-78	515	4	|	|	ADV
ddj-78	515	5	volume	volume	NOUN
ddj-78	515	6	4	4	NUM
ddj-78	515	7	|	|	NOUN
ddj-78	515	8	issue	issue	VERB
ddj-78	515	9	2	2	NUM
ddj-78	515	10	|	|	CCONJ
ddj-78	515	11	pp	pp	ADJ
ddj-78	515	12	.	.	PUNCT
ddj-78	516	1	141	141	NUM
ddj-78	516	2	-	-	SYM
ddj-78	516	3	160	160	NUM
ddj-78	516	4	159	159	NUM
ddj-78	516	5	pitkänen	pitkänen	NOUN
ddj-78	516	6	,	,	PUNCT
ddj-78	516	7	m.	m.	NOUN
ddj-78	516	8	pythagoras	pythagoras	PROPN
ddj-78	516	9	,	,	PUNCT
ddj-78	516	10	music	music	NOUN
ddj-78	516	11	,	,	PUNCT
ddj-78	516	12	sacred	sacred	ADJ
ddj-78	516	13	geometry	geometry	NOUN
ddj-78	516	14	and	and	CCONJ
ddj-78	516	15	genetic	genetic	ADJ
ddj-78	516	16	code	code	NOUN
ddj-78	516	17	vacuum	vacuum	NOUN
ddj-78	516	18	extremals	extremal	NOUN
ddj-78	516	19	for	for	ADP
ddj-78	516	20	which	which	PRON
ddj-78	516	21	the	the	DET
ddj-78	516	22	light	light	ADJ
ddj-78	516	23	velocity	velocity	NOUN
ddj-78	516	24	at	at	ADP
ddj-78	516	25	the	the	DET
ddj-78	516	26	space	space	NOUN
ddj-78	516	27	-	-	PUNCT
ddj-78	516	28	time	time	NOUN
ddj-78	516	29	surface	surface	NOUN
ddj-78	516	30	corresponds	correspond	VERB
ddj-78	516	31	to	to	ADP
ddj-78	516	32	arbitrarily	arbitrarily	ADV
ddj-78	516	33	low	low	ADJ
ddj-78	516	34	velocity	velocity	NOUN
ddj-78	516	35	at	at	ADP
ddj-78	516	36	the	the	DET
ddj-78	516	37	level	level	NOUN
ddj-78	516	38	of	of	ADP
ddj-78	516	39	imbedding	imbed	VERB
ddj-78	516	40	space	space	NOUN
ddj-78	516	41	.	.	PUNCT
ddj-78	517	1	4.4	4.4	NUM
ddj-78	517	2	emotions	emotion	NOUN
ddj-78	517	3	and	and	CCONJ
ddj-78	517	4	4	4	NUM
ddj-78	517	5	-	-	PUNCT
ddj-78	517	6	d	d	NOUN
ddj-78	517	7	character	character	NOUN
ddj-78	517	8	of	of	ADP
ddj-78	517	9	music	music	NOUN
ddj-78	517	10	experience	experience	NOUN
ddj-78	517	11	music	music	NOUN
ddj-78	517	12	experience	experience	NOUN
ddj-78	517	13	involves	involve	VERB
ddj-78	517	14	in	in	ADP
ddj-78	517	15	an	an	DET
ddj-78	517	16	essential	essential	ADJ
ddj-78	517	17	manner	manner	NOUN
ddj-78	517	18	time	time	NOUN
ddj-78	517	19	unlike	unlike	ADP
ddj-78	517	20	visual	visual	ADJ
ddj-78	517	21	experience	experience	NOUN
ddj-78	517	22	which	which	PRON
ddj-78	517	23	is	be	AUX
ddj-78	517	24	essentially	essentially	ADV
ddj-78	517	25	3dimensional	3dimensional	NUM
ddj-78	517	26	.	.	PUNCT
ddj-78	517	27	music	music	NOUN
ddj-78	517	28	experience	experience	NOUN
ddj-78	517	29	affects	affect	VERB
ddj-78	517	30	also	also	ADV
ddj-78	517	31	emotions	emotion	NOUN
ddj-78	517	32	very	very	ADV
ddj-78	517	33	directly	directly	ADV
ddj-78	517	34	.	.	PUNCT
ddj-78	518	1	for	for	ADP
ddj-78	518	2	instance	instance	NOUN
ddj-78	518	3	,	,	PUNCT
ddj-78	518	4	we	we	PRON
ddj-78	518	5	somehow	somehow	ADV
ddj-78	518	6	know	know	VERB
ddj-78	518	7	the	the	DET
ddj-78	518	8	key	key	NOUN
ddj-78	518	9	of	of	ADP
ddj-78	518	10	the	the	DET
ddj-78	518	11	piece	piece	NOUN
ddj-78	518	12	and	and	CCONJ
ddj-78	518	13	expect	expect	VERB
ddj-78	518	14	that	that	SCONJ
ddj-78	518	15	it	it	PRON
ddj-78	518	16	ends	end	VERB
ddj-78	518	17	to	to	ADP
ddj-78	518	18	the	the	DET
ddj-78	518	19	basic	basic	ADJ
ddj-78	518	20	note	note	NOUN
ddj-78	518	21	and	and	CCONJ
ddj-78	518	22	chord	chord	NOUN
ddj-78	518	23	.	.	PUNCT
ddj-78	519	1	we	we	PRON
ddj-78	519	2	somehow	somehow	ADV
ddj-78	519	3	know	know	VERB
ddj-78	519	4	also	also	ADV
ddj-78	519	5	the	the	DET
ddj-78	519	6	scale	scale	NOUN
ddj-78	519	7	used	use	VERB
ddj-78	519	8	(	(	PUNCT
ddj-78	519	9	say	say	VERB
ddj-78	519	10	major	major	ADJ
ddj-78	519	11	or	or	CCONJ
ddj-78	519	12	minor	minor	ADJ
ddj-78	519	13	)	)	PUNCT
ddj-78	519	14	by	by	ADP
ddj-78	519	15	the	the	DET
ddj-78	519	16	emotional	emotional	ADJ
ddj-78	519	17	response	response	NOUN
ddj-78	519	18	stimulated	stimulate	VERB
ddj-78	519	19	by	by	ADP
ddj-78	519	20	it	it	PRON
ddj-78	519	21	.	.	PUNCT
ddj-78	520	1	all	all	DET
ddj-78	520	2	this	this	PRON
ddj-78	520	3	requires	require	VERB
ddj-78	520	4	information	information	NOUN
ddj-78	520	5	about	about	ADP
ddj-78	520	6	entire	entire	ADJ
ddj-78	520	7	time	time	NOUN
ddj-78	520	8	evolution	evolution	NOUN
ddj-78	520	9	of	of	ADP
ddj-78	520	10	the	the	DET
ddj-78	520	11	music	music	NOUN
ddj-78	520	12	piece	piece	NOUN
ddj-78	520	13	.	.	PUNCT
ddj-78	521	1	the	the	DET
ddj-78	521	2	recent	recent	ADJ
ddj-78	521	3	neuroscience	neuroscience	NOUN
ddj-78	521	4	based	base	VERB
ddj-78	521	5	models	model	NOUN
ddj-78	521	6	of	of	ADP
ddj-78	521	7	memory	memory	NOUN
ddj-78	521	8	do	do	AUX
ddj-78	521	9	not	not	PART
ddj-78	521	10	help	help	VERB
ddj-78	521	11	much	much	ADJ
ddj-78	521	12	in	in	ADP
ddj-78	521	13	attempts	attempt	NOUN
ddj-78	521	14	to	to	PART
ddj-78	521	15	understand	understand	VERB
ddj-78	521	16	how	how	SCONJ
ddj-78	521	17	this	this	PRON
ddj-78	521	18	is	be	AUX
ddj-78	521	19	possible	possible	ADJ
ddj-78	521	20	.	.	PUNCT
ddj-78	522	1	the	the	DET
ddj-78	522	2	reason	reason	NOUN
ddj-78	522	3	is	be	AUX
ddj-78	522	4	that	that	SCONJ
ddj-78	522	5	in	in	ADP
ddj-78	522	6	the	the	DET
ddj-78	522	7	ordinary	ordinary	ADJ
ddj-78	522	8	materialistic	materialistic	ADJ
ddj-78	522	9	view	view	NOUN
ddj-78	522	10	in	in	ADP
ddj-78	522	11	which	which	PRON
ddj-78	522	12	the	the	DET
ddj-78	522	13	state	state	NOUN
ddj-78	522	14	of	of	ADP
ddj-78	522	15	the	the	DET
ddj-78	522	16	brain	brain	NOUN
ddj-78	522	17	at	at	ADP
ddj-78	522	18	fixed	fix	VERB
ddj-78	522	19	time	time	NOUN
ddj-78	522	20	should	should	AUX
ddj-78	522	21	determine	determine	VERB
ddj-78	522	22	the	the	DET
ddj-78	522	23	contents	content	NOUN
ddj-78	522	24	of	of	ADP
ddj-78	522	25	consciousness	consciousness	NOUN
ddj-78	522	26	.	.	PUNCT
ddj-78	523	1	the	the	DET
ddj-78	523	2	general	general	ADJ
ddj-78	523	3	vision	vision	NOUN
ddj-78	523	4	in	in	ADP
ddj-78	523	5	zero	zero	NUM
ddj-78	523	6	energy	energy	NOUN
ddj-78	523	7	ontology	ontology	NOUN
ddj-78	523	8	and	and	CCONJ
ddj-78	523	9	quantum	quantum	ADJ
ddj-78	523	10	classical	classical	ADJ
ddj-78	523	11	correspondence	correspondence	NOUN
ddj-78	523	12	is	be	AUX
ddj-78	523	13	that	that	SCONJ
ddj-78	523	14	space	space	NOUN
ddj-78	523	15	-	-	PUNCT
ddj-78	523	16	time	time	NOUN
ddj-78	523	17	surface	surface	NOUN
ddj-78	523	18	provide	provide	VERB
ddj-78	523	19	classical	classical	ADJ
ddj-78	523	20	physics	physics	NOUN
ddj-78	523	21	correlates	correlate	VERB
ddj-78	523	22	for	for	ADP
ddj-78	523	23	quantum	quantum	ADJ
ddj-78	523	24	states	state	NOUN
ddj-78	523	25	and	and	CCONJ
ddj-78	523	26	also	also	ADV
ddj-78	523	27	quantum	quantum	NOUN
ddj-78	523	28	jumps	jump	VERB
ddj-78	523	29	:	:	PUNCT
ddj-78	523	30	the	the	DET
ddj-78	523	31	failure	failure	NOUN
ddj-78	523	32	of	of	ADP
ddj-78	523	33	the	the	DET
ddj-78	523	34	strict	strict	ADJ
ddj-78	523	35	determinism	determinism	NOUN
ddj-78	523	36	is	be	AUX
ddj-78	523	37	essential	essential	ADJ
ddj-78	523	38	for	for	ADP
ddj-78	523	39	the	the	DET
ddj-78	523	40	latter	latter	ADJ
ddj-78	523	41	.	.	PUNCT
ddj-78	524	1	the	the	DET
ddj-78	524	2	space	space	NOUN
ddj-78	524	3	-	-	PUNCT
ddj-78	524	4	time	time	NOUN
ddj-78	524	5	surfaces	surface	NOUN
ddj-78	524	6	are	be	AUX
ddj-78	524	7	restricted	restrict	VERB
ddj-78	524	8	inside	inside	ADP
ddj-78	524	9	causal	causal	ADJ
ddj-78	524	10	diamond	diamond	NOUN
ddj-78	524	11	(	(	PUNCT
ddj-78	524	12	cd	cd	PROPN
ddj-78	524	13	)	)	PUNCT
ddj-78	524	14	and	and	CCONJ
ddj-78	524	15	have	have	VERB
ddj-78	524	16	space	space	NOUN
ddj-78	524	17	-	-	PUNCT
ddj-78	524	18	like	like	ADJ
ddj-78	524	19	3	3	NUM
ddj-78	524	20	-	-	PUNCT
ddj-78	524	21	surface	surface	NOUN
ddj-78	524	22	as	as	ADP
ddj-78	524	23	their	their	PRON
ddj-78	524	24	ends	end	NOUN
ddj-78	524	25	:	:	PUNCT
ddj-78	524	26	the	the	DET
ddj-78	524	27	interpretation	interpretation	NOUN
ddj-78	524	28	is	be	AUX
ddj-78	524	29	as	as	ADP
ddj-78	524	30	counterparts	counterpart	NOUN
ddj-78	524	31	for	for	ADP
ddj-78	524	32	the	the	DET
ddj-78	524	33	initial	initial	ADJ
ddj-78	524	34	and	and	CCONJ
ddj-78	524	35	final	final	ADJ
ddj-78	524	36	states	state	NOUN
ddj-78	524	37	of	of	ADP
ddj-78	524	38	physical	physical	ADJ
ddj-78	524	39	events	event	NOUN
ddj-78	524	40	.	.	PUNCT
ddj-78	525	1	the	the	DET
ddj-78	525	2	replacement	replacement	NOUN
ddj-78	525	3	of	of	ADP
ddj-78	525	4	states	state	NOUN
ddj-78	525	5	with	with	ADP
ddj-78	525	6	events	event	NOUN
ddj-78	525	7	makes	make	VERB
ddj-78	525	8	it	it	PRON
ddj-78	525	9	possible	possible	ADJ
ddj-78	525	10	to	to	PART
ddj-78	525	11	understand	understand	VERB
ddj-78	525	12	mysterious	mysterious	ADJ
ddj-78	525	13	looking	look	VERB
ddj-78	525	14	facts	fact	NOUN
ddj-78	525	15	about	about	ADP
ddj-78	525	16	living	live	VERB
ddj-78	525	17	matter	matter	NOUN
ddj-78	525	18	such	such	ADJ
ddj-78	525	19	as	as	ADP
ddj-78	525	20	standardized	standardized	ADJ
ddj-78	525	21	temporal	temporal	ADJ
ddj-78	525	22	patterns	pattern	NOUN
ddj-78	525	23	say	say	VERB
ddj-78	525	24	those	those	PRON
ddj-78	525	25	appearing	appear	VERB
ddj-78	525	26	during	during	ADP
ddj-78	525	27	morphogenesis	morphogenesis	NOUN
ddj-78	525	28	.	.	PUNCT
ddj-78	526	1	the	the	DET
ddj-78	526	2	maxima	maxima	NOUN
ddj-78	526	3	of	of	ADP
ddj-78	526	4	the	the	DET
ddj-78	526	5	vacuum	vacuum	NOUN
ddj-78	526	6	function	function	NOUN
ddj-78	526	7	defined	define	VERB
ddj-78	526	8	by	by	ADP
ddj-78	526	9	the	the	DET
ddj-78	526	10	exponent	exponent	NOUN
ddj-78	526	11	of	of	ADP
ddj-78	526	12	kähler	kähler	PROPN
ddj-78	526	13	function	function	NOUN
ddj-78	526	14	in	in	ADP
ddj-78	526	15	term	term	NOUN
ddj-78	526	16	identified	identify	VERB
ddj-78	526	17	as	as	ADP
ddj-78	526	18	kähler	kähler	ADJ
ddj-78	526	19	action	action	NOUN
ddj-78	526	20	for	for	ADP
ddj-78	526	21	euclidian	euclidian	ADJ
ddj-78	526	22	space	space	NOUN
ddj-78	526	23	-	-	PUNCT
ddj-78	526	24	time	time	NOUN
ddj-78	526	25	regions	region	NOUN
ddj-78	526	26	representing	represent	VERB
ddj-78	526	27	analogs	analog	NOUN
ddj-78	526	28	for	for	ADP
ddj-78	526	29	the	the	DET
ddj-78	526	30	lines	line	NOUN
ddj-78	526	31	of	of	ADP
ddj-78	526	32	feynman	feynman	PROPN
ddj-78	526	33	graph	graph	NOUN
ddj-78	526	34	correspond	correspond	ADV
ddj-78	526	35	to	to	ADP
ddj-78	526	36	the	the	DET
ddj-78	526	37	most	most	ADV
ddj-78	526	38	probably	probably	ADV
ddj-78	526	39	temporal	temporal	ADJ
ddj-78	526	40	patterns	pattern	NOUN
ddj-78	526	41	.	.	PUNCT
ddj-78	527	1	the	the	DET
ddj-78	527	2	basic	basic	ADJ
ddj-78	527	3	aspect	aspect	NOUN
ddj-78	527	4	of	of	ADP
ddj-78	527	5	emotions	emotion	NOUN
ddj-78	527	6	is	be	AUX
ddj-78	527	7	positive	positive	ADJ
ddj-78	527	8	/	/	SYM
ddj-78	527	9	negative	negative	ADJ
ddj-78	527	10	dichotomy	dichotomy	NOUN
ddj-78	527	11	.	.	PUNCT
ddj-78	528	1	an	an	DET
ddj-78	528	2	attractive	attractive	ADJ
ddj-78	528	3	identification	identification	NOUN
ddj-78	528	4	for	for	ADP
ddj-78	528	5	the	the	DET
ddj-78	528	6	physical	physical	ADJ
ddj-78	528	7	correlated	correlate	VERB
ddj-78	528	8	of	of	ADP
ddj-78	528	9	this	this	DET
ddj-78	528	10	aspect	aspect	NOUN
ddj-78	528	11	is	be	AUX
ddj-78	528	12	whether	whether	SCONJ
ddj-78	528	13	the	the	DET
ddj-78	528	14	quantum	quantum	NOUN
ddj-78	528	15	jump	jump	NOUN
ddj-78	528	16	generating	generate	VERB
ddj-78	528	17	the	the	DET
ddj-78	528	18	emotion	emotion	NOUN
ddj-78	528	19	increases	increase	NOUN
ddj-78	528	20	or	or	CCONJ
ddj-78	528	21	decreases	decrease	VERB
ddj-78	528	22	the	the	DET
ddj-78	528	23	negentropy	negentropy	NOUN
ddj-78	528	24	of	of	ADP
ddj-78	528	25	the	the	DET
ddj-78	528	26	subsystem	subsystem	NOUN
ddj-78	528	27	involved	involve	VERB
ddj-78	528	28	.	.	PUNCT
ddj-78	529	1	for	for	ADP
ddj-78	529	2	instance	instance	NOUN
ddj-78	529	3	,	,	PUNCT
ddj-78	529	4	pain	pain	NOUN
ddj-78	529	5	would	would	AUX
ddj-78	529	6	correspond	correspond	VERB
ddj-78	529	7	to	to	ADP
ddj-78	529	8	a	a	DET
ddj-78	529	9	reduction	reduction	NOUN
ddj-78	529	10	of	of	ADP
ddj-78	529	11	the	the	DET
ddj-78	529	12	negentropy	negentropy	NOUN
ddj-78	529	13	for	for	ADP
ddj-78	529	14	the	the	DET
ddj-78	529	15	body	body	NOUN
ddj-78	529	16	part	part	NOUN
ddj-78	529	17	involved	involve	VERB
ddj-78	529	18	.	.	PUNCT
ddj-78	530	1	in	in	ADP
ddj-78	530	2	music	music	NOUN
ddj-78	530	3	experience	experience	NOUN
ddj-78	530	4	negentropy	negentropy	NOUN
ddj-78	530	5	could	could	AUX
ddj-78	530	6	flow	flow	VERB
ddj-78	530	7	between	between	ADP
ddj-78	530	8	different	different	ADJ
ddj-78	530	9	parts	part	NOUN
ddj-78	530	10	of	of	ADP
ddj-78	530	11	the	the	DET
ddj-78	530	12	system	system	NOUN
ddj-78	530	13	involved	involve	VERB
ddj-78	530	14	and	and	CCONJ
ddj-78	530	15	create	create	VERB
ddj-78	530	16	also	also	ADV
ddj-78	530	17	sensation	sensation	VERB
ddj-78	530	18	with	with	ADP
ddj-78	530	19	local	local	ADJ
ddj-78	530	20	negative	negative	ADJ
ddj-78	530	21	coloring	coloring	NOUN
ddj-78	530	22	but	but	CCONJ
ddj-78	530	23	with	with	ADP
ddj-78	530	24	overall	overall	ADJ
ddj-78	530	25	positive	positive	ADJ
ddj-78	530	26	coloring	coloring	NOUN
ddj-78	530	27	(	(	PUNCT
ddj-78	530	28	by	by	ADP
ddj-78	530	29	nmp	nmp	NOUN
ddj-78	530	30	[	[	X
ddj-78	530	31	9	9	NUM
ddj-78	530	32	]	]	PUNCT
ddj-78	530	33	)	)	PUNCT
ddj-78	530	34	.	.	PUNCT
ddj-78	531	1	the	the	DET
ddj-78	531	2	ability	ability	NOUN
ddj-78	531	3	of	of	ADP
ddj-78	531	4	temporal	temporal	ADJ
ddj-78	531	5	patterns	pattern	NOUN
ddj-78	531	6	of	of	ADP
ddj-78	531	7	music	music	NOUN
ddj-78	531	8	to	to	PART
ddj-78	531	9	generate	generate	VERB
ddj-78	531	10	negentropy	negentropy	NOUN
ddj-78	531	11	flows	flow	NOUN
ddj-78	531	12	inside	inside	ADP
ddj-78	531	13	the	the	DET
ddj-78	531	14	system	system	NOUN
ddj-78	531	15	involved	involve	VERB
ddj-78	531	16	could	could	AUX
ddj-78	531	17	explain	explain	VERB
ddj-78	531	18	its	its	PRON
ddj-78	531	19	effectiveness	effectiveness	NOUN
ddj-78	531	20	in	in	ADP
ddj-78	531	21	generating	generate	VERB
ddj-78	531	22	emotions	emotion	NOUN
ddj-78	531	23	.	.	PUNCT
ddj-78	532	1	dissonances	dissonance	NOUN
ddj-78	532	2	were	be	AUX
ddj-78	532	3	used	use	VERB
ddj-78	532	4	by	by	ADP
ddj-78	532	5	composes	compose	NOUN
ddj-78	532	6	like	like	ADP
ddj-78	532	7	bach	bach	NOUN
ddj-78	532	8	to	to	PART
ddj-78	532	9	generate	generate	VERB
ddj-78	532	10	melancholic	melancholic	ADJ
ddj-78	532	11	emotions	emotion	NOUN
ddj-78	532	12	which	which	PRON
ddj-78	532	13	suggests	suggest	VERB
ddj-78	532	14	that	that	SCONJ
ddj-78	532	15	the	the	DET
ddj-78	532	16	dissonance	dissonance	NOUN
ddj-78	532	17	represent	represent	VERB
ddj-78	532	18	local	local	ADJ
ddj-78	532	19	reduction	reduction	NOUN
ddj-78	532	20	of	of	ADP
ddj-78	532	21	negentropy	negentropy	PROPN
ddj-78	532	22	.	.	PUNCT
ddj-78	533	1	also	also	ADV
ddj-78	533	2	vibrato	vibrato	NOUN
ddj-78	533	3	has	have	VERB
ddj-78	533	4	emotional	emotional	ADJ
ddj-78	533	5	content	content	NOUN
ddj-78	533	6	.	.	PUNCT
ddj-78	534	1	physically	physically	ADV
ddj-78	534	2	dissonance	dissonance	NOUN
ddj-78	534	3	and	and	CCONJ
ddj-78	534	4	vibrato	vibrato	NOUN
ddj-78	534	5	are	be	AUX
ddj-78	534	6	assignable	assignable	ADJ
ddj-78	534	7	to	to	ADP
ddj-78	534	8	the	the	DET
ddj-78	534	9	interference	interference	NOUN
ddj-78	534	10	of	of	ADP
ddj-78	534	11	frequencies	frequency	NOUN
ddj-78	534	12	which	which	PRON
ddj-78	534	13	are	be	AUX
ddj-78	534	14	near	near	ADJ
ddj-78	534	15	to	to	ADP
ddj-78	534	16	each	each	DET
ddj-78	534	17	other	other	ADJ
ddj-78	534	18	(	(	PUNCT
ddj-78	534	19	http://en.wikipedia.org/wiki/beat_(acoustics	http://en.wikipedia.org/wiki/beat_(acoustic	NOUN
ddj-78	534	20	)	)	PUNCT
ddj-78	534	21	)	)	PUNCT
ddj-78	534	22	.	.	PUNCT
ddj-78	535	1	the	the	DET
ddj-78	535	2	basic	basic	ADJ
ddj-78	535	3	formula	formula	NOUN
ddj-78	535	4	is	be	AUX
ddj-78	535	5	cos(x	cos(x	PROPN
ddj-78	535	6	)	)	PUNCT
ddj-78	536	1	+	+	SYM
ddj-78	536	2	cos(y	cos(y	NOUN
ddj-78	536	3	)	)	PUNCT
ddj-78	536	4	=	=	SYM
ddj-78	537	1	cos((x+	cos((x+	PUNCT
ddj-78	537	2	y)/2)×	y)/2)×	NUM
ddj-78	537	3	cos((x−	cos((x−	PROPN
ddj-78	537	4	y)/2	y)/2	PROPN
ddj-78	537	5	)	)	PUNCT
ddj-78	537	6	.	.	PUNCT
ddj-78	538	1	acknowledgements	acknowledgement	NOUN
ddj-78	538	2	:	:	PUNCT
ddj-78	539	1	i	i	PRON
ddj-78	539	2	want	want	VERB
ddj-78	539	3	to	to	PART
ddj-78	539	4	thank	thank	VERB
ddj-78	539	5	tommi	tommi	PROPN
ddj-78	539	6	ullgren	ullgren	PROPN
ddj-78	539	7	for	for	ADP
ddj-78	539	8	directing	direct	VERB
ddj-78	539	9	my	my	PRON
ddj-78	539	10	attention	attention	NOUN
ddj-78	539	11	to	to	ADP
ddj-78	539	12	the	the	DET
ddj-78	539	13	book	book	NOUN
ddj-78	539	14	of	of	ADP
ddj-78	539	15	richard	richard	PROPN
ddj-78	539	16	merrick	merrick	PROPN
ddj-78	539	17	as	as	ADV
ddj-78	539	18	well	well	ADV
ddj-78	539	19	as	as	ADP
ddj-78	539	20	for	for	ADP
ddj-78	539	21	fascinating	fascinating	ADJ
ddj-78	539	22	discussions	discussion	NOUN
ddj-78	539	23	about	about	ADP
ddj-78	539	24	music	music	NOUN
ddj-78	539	25	.	.	PUNCT
ddj-78	540	1	i	i	PRON
ddj-78	540	2	am	be	AUX
ddj-78	540	3	also	also	ADV
ddj-78	540	4	grateful	grateful	ADJ
ddj-78	540	5	for	for	ADP
ddj-78	540	6	salla	salla	NOUN
ddj-78	540	7	vasenius	vasenius	NOUN
ddj-78	540	8	for	for	ADP
ddj-78	540	9	drawing	draw	VERB
ddj-78	540	10	the	the	DET
ddj-78	540	11	illustrations	illustration	NOUN
ddj-78	540	12	.	.	PUNCT
ddj-78	541	1	references	reference	NOUN
ddj-78	541	2	mathematics	mathematic	NOUN
ddj-78	542	1	[	[	X
ddj-78	542	2	1	1	X
ddj-78	542	3	]	]	X
ddj-78	542	4	icosahedral	icosahedral	ADJ
ddj-78	542	5	graph	graph	NOUN
ddj-78	542	6	.	.	PUNCT
ddj-78	543	1	wolfram	wolfram	PROPN
ddj-78	543	2	mathworld	mathworld	PROPN
ddj-78	543	3	.	.	PUNCT
ddj-78	544	1	http://mathworld.wolfram.com/icosahedralgraph	http://mathworld.wolfram.com/icosahedralgraph	PROPN
ddj-78	544	2	.	.	PROPN
ddj-78	544	3	html	html	PROPN
ddj-78	544	4	.	.	PUNCT
ddj-78	545	1	[	[	X
ddj-78	545	2	2	2	X
ddj-78	545	3	]	]	PUNCT
ddj-78	545	4	why	why	SCONJ
ddj-78	545	5	are	be	AUX
ddj-78	545	6	there	there	PRON
ddj-78	545	7	1024	1024	NUM
ddj-78	545	8	hamiltonian	hamiltonian	ADJ
ddj-78	545	9	cycles	cycle	NOUN
ddj-78	545	10	on	on	ADP
ddj-78	545	11	an	an	DET
ddj-78	545	12	icosahedron	icosahedron	NOUN
ddj-78	545	13	?	?	PUNCT
ddj-78	545	14	http://mathoverflow.net/questions/	http://mathoverflow.net/questions/	NOUN
ddj-78	545	15	37788	37788	NUM
ddj-78	545	16	/	/	SYM
ddj-78	545	17	why	why	SCONJ
ddj-78	545	18	-	-	PUNCT
ddj-78	545	19	are	be	AUX
ddj-78	545	20	-	-	PUNCT
ddj-78	545	21	there-1024	there-1024	NOUN
ddj-78	545	22	-	-	PUNCT
ddj-78	545	23	hamiltonian	hamiltonian	ADJ
ddj-78	545	24	-	-	PUNCT
ddj-78	545	25	cycles	cycle	NOUN
ddj-78	545	26	-	-	PUNCT
ddj-78	545	27	on	on	ADP
ddj-78	545	28	-	-	PUNCT
ddj-78	545	29	an	an	DET
ddj-78	545	30	-	-	PUNCT
ddj-78	545	31	icosahedron	icosahedron	NOUN
ddj-78	545	32	.	.	PUNCT
ddj-78	546	1	isbn	isbn	PROPN
ddj-78	546	2	:	:	PUNCT
ddj-78	546	3	2159	2159	NUM
ddj-78	546	4	-	-	PUNCT
ddj-78	546	5	046x	046x	NOUN
ddj-78	546	6	dna	dna	NOUN
ddj-78	546	7	decipher	decipher	PROPN
ddj-78	546	8	journal	journal	PROPN
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ddj-78	546	10	published	publish	VERB
ddj-78	546	11	by	by	ADP
ddj-78	546	12	quantumdream	quantumdream	PROPN
ddj-78	546	13	,	,	PUNCT
ddj-78	546	14	inc	inc	PROPN
ddj-78	546	15	.	.	PROPN
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ddj-78	546	17	)	)	PUNCT
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ddj-78	546	22	dna	dna	PROPN
ddj-78	546	23	decipher	decipher	ADJ
ddj-78	546	24	journal	journal	NOUN
ddj-78	546	25	|	|	ADV
ddj-78	546	26	october	october	PROPN
ddj-78	546	27	2014	2014	NUM
ddj-78	547	1	|	|	ADV
ddj-78	547	2	volume	volume	NOUN
ddj-78	547	3	4	4	NUM
ddj-78	547	4	|	|	NOUN
ddj-78	547	5	issue	issue	VERB
ddj-78	547	6	2	2	NUM
ddj-78	547	7	|	|	CCONJ
ddj-78	547	8	pp	pp	ADJ
ddj-78	547	9	.	.	PUNCT
ddj-78	548	1	141	141	NUM
ddj-78	548	2	-	-	SYM
ddj-78	548	3	160	160	NUM
ddj-78	548	4	160	160	NUM
ddj-78	548	5	pitkänen	pitkänen	NOUN
ddj-78	548	6	,	,	PUNCT
ddj-78	548	7	m.	m.	NOUN
ddj-78	548	8	pythagoras	pythagoras	PROPN
ddj-78	548	9	,	,	PUNCT
ddj-78	548	10	music	music	NOUN
ddj-78	548	11	,	,	PUNCT
ddj-78	548	12	sacred	sacred	ADJ
ddj-78	548	13	geometry	geometry	NOUN
ddj-78	548	14	and	and	CCONJ
ddj-78	548	15	genetic	genetic	ADJ
ddj-78	548	16	code	code	NOUN
ddj-78	548	17	[	[	X
ddj-78	548	18	3	3	X
ddj-78	548	19	]	]	X
ddj-78	548	20	b.	b.	PROPN
ddj-78	548	21	hopkins	hopkins	PROPN
ddj-78	548	22	.	.	PUNCT
ddj-78	549	1	hamiltonian	hamiltonian	ADJ
ddj-78	549	2	parths	parth	NOUN
ddj-78	549	3	on	on	ADP
ddj-78	549	4	platonic	platonic	ADJ
ddj-78	549	5	graphs	graph	NOUN
ddj-78	549	6	.	.	PUNCT
ddj-78	550	1	ijmms	ijmms	NOUN
ddj-78	550	2	.	.	PUNCT
ddj-78	551	1	http	http	PROPN
ddj-78	551	2	:	:	PUNCT
ddj-78	551	3	//	//	NUM
ddj-78	551	4	www	www	PROPN
ddj-78	551	5	.	.	PROPN
ddj-78	551	6	emis	emis	PROPN
ddj-78	551	7	.	.	PUNCT
ddj-78	552	1	de/	de/	PROPN
ddj-78	553	1	journals/	journals/	NUM
ddj-78	553	2	hoa/	hoa/	NOUN
ddj-78	553	3	ijmms/	ijmms/	NUM
ddj-78	553	4	2004/	2004/	NUM
ddj-78	553	5	29	29	NUM
ddj-78	553	6	-	-	SYM
ddj-78	553	7	321613	321613	NUM
ddj-78	553	8	.	.	PUNCT
ddj-78	554	1	pdf	pdf	NOUN
ddj-78	554	2	,	,	PUNCT
ddj-78	554	3	30:1613–1616	30:1613–1616	NUM
ddj-78	554	4	,	,	PUNCT
ddj-78	554	5	2004	2004	NUM
ddj-78	554	6	.	.	PUNCT
ddj-78	555	1	biology	biology	NOUN
ddj-78	555	2	,	,	PUNCT
ddj-78	555	3	neuroscience	neuroscience	NOUN
ddj-78	555	4	,	,	PUNCT
ddj-78	555	5	and	and	CCONJ
ddj-78	555	6	consciousness	consciousness	NOUN
ddj-78	556	1	[	[	X
ddj-78	556	2	4	4	X
ddj-78	556	3	]	]	X
ddj-78	556	4	amino	amino	NOUN
ddj-78	556	5	acid	acid	NOUN
ddj-78	556	6	.	.	PUNCT
ddj-78	557	1	http://en.wikipedia.org/wiki/amino_acid	http://en.wikipedia.org/wiki/amino_acid	NOUN
ddj-78	557	2	.	.	PUNCT
ddj-78	558	1	[	[	X
ddj-78	558	2	5	5	NUM
ddj-78	558	3	]	]	X
ddj-78	558	4	genetic	genetic	ADJ
ddj-78	558	5	code	code	NOUN
ddj-78	558	6	.	.	PUNCT
ddj-78	559	1	http://en.wikipedia.org/wiki/genetic_code	http://en.wikipedia.org/wiki/genetic_code	INTJ
ddj-78	559	2	.	.	PUNCT
ddj-78	560	1	[	[	X
ddj-78	560	2	6	6	NUM
ddj-78	560	3	]	]	X
ddj-78	560	4	r.	r.	PROPN
ddj-78	560	5	merrick	merrick	PROPN
ddj-78	560	6	.	.	PUNCT
ddj-78	561	1	interference	interference	NOUN
ddj-78	561	2	:	:	PUNCT
ddj-78	561	3	a	a	DET
ddj-78	561	4	grand	grand	ADJ
ddj-78	561	5	scientific	scientific	ADJ
ddj-78	561	6	musical	musical	ADJ
ddj-78	561	7	theory	theory	NOUN
ddj-78	561	8	.	.	PUNCT
ddj-78	562	1	http	http	ADJ
ddj-78	562	2	:	:	PUNCT
ddj-78	562	3	//	//	NUM
ddj-78	562	4	interferencetheory	interferencetheory	NOUN
ddj-78	562	5	.	.	PUNCT
ddj-78	563	1	com/	com/	NOUN
ddj-78	563	2	files/	files/	NUM
ddj-78	563	3	interference	interference	NOUN
ddj-78	563	4	.	.	PUNCT
ddj-78	564	1	pdf	pdf	NOUN
ddj-78	564	2	.	.	PUNCT
ddj-78	565	1	2009	2009	NUM
ddj-78	565	2	.	.	PUNCT
ddj-78	566	1	material	material	NOUN
ddj-78	566	2	related	relate	VERB
ddj-78	566	3	to	to	ADP
ddj-78	566	4	tgd	tgd	PROPN
ddj-78	566	5	[	[	X
ddj-78	566	6	7	7	NUM
ddj-78	566	7	]	]	X
ddj-78	566	8	m.	m.	NOUN
ddj-78	566	9	pitkänen	pitkänen	PROPN
ddj-78	566	10	.	.	PUNCT
ddj-78	567	1	dna	dna	PROPN
ddj-78	567	2	as	as	ADP
ddj-78	567	3	topological	topological	ADJ
ddj-78	567	4	quantum	quantum	ADJ
ddj-78	567	5	computer	computer	NOUN
ddj-78	567	6	.	.	PUNCT
ddj-78	568	1	in	in	ADP
ddj-78	568	2	genes	gene	NOUN
ddj-78	568	3	and	and	CCONJ
ddj-78	568	4	memes	meme	NOUN
ddj-78	568	5	.	.	PUNCT
ddj-78	569	1	onlinebook	onlinebook	NOUN
ddj-78	569	2	.	.	PUNCT
ddj-78	570	1	http	http	ADJ
ddj-78	570	2	:	:	PUNCT
ddj-78	570	3	//tgdtheory.fi	//tgdtheory.fi	ADJ
ddj-78	570	4	/	/	SYM
ddj-78	570	5	public_html	public_html	PROPN
ddj-78	570	6	/	/	SYM
ddj-78	570	7	genememe	genememe	NOUN
ddj-78	570	8	/	/	SYM
ddj-78	570	9	genememe.html#dnatqc	genememe.html#dnatqc	PROPN
ddj-78	570	10	,	,	PUNCT
ddj-78	570	11	2006	2006	NUM
ddj-78	570	12	.	.	PUNCT
ddj-78	571	1	[	[	X
ddj-78	571	2	8	8	NUM
ddj-78	571	3	]	]	X
ddj-78	571	4	m.	m.	NOUN
ddj-78	571	5	pitkänen	pitkänen	NOUN
ddj-78	571	6	.	.	PUNCT
ddj-78	572	1	genes	gene	NOUN
ddj-78	572	2	and	and	CCONJ
ddj-78	572	3	memes	meme	NOUN
ddj-78	572	4	.	.	PUNCT
ddj-78	573	1	in	in	ADP
ddj-78	573	2	genes	gene	NOUN
ddj-78	573	3	and	and	CCONJ
ddj-78	573	4	memes	meme	NOUN
ddj-78	573	5	.	.	PUNCT
ddj-78	574	1	onlinebook	onlinebook	NOUN
ddj-78	574	2	.	.	PUNCT
ddj-78	575	1	http://tgdtheory.fi/public	http://tgdtheory.fi/public	NUM
ddj-78	575	2	_	_	PRON
ddj-78	575	3	html	html	NOUN
ddj-78	575	4	/	/	SYM
ddj-78	575	5	genememe	genememe	NOUN
ddj-78	575	6	/	/	SYM
ddj-78	575	7	genememe.html#genememec	genememe.html#genememec	PROPN
ddj-78	575	8	,	,	PUNCT
ddj-78	575	9	2006	2006	NUM
ddj-78	575	10	.	.	PUNCT
ddj-78	576	1	[	[	X
ddj-78	576	2	9	9	NUM
ddj-78	576	3	]	]	PUNCT
ddj-78	576	4	m.	m.	NOUN
ddj-78	576	5	pitkänen	pitkänen	PROPN
ddj-78	576	6	.	.	PUNCT
ddj-78	576	7	negentropy	negentropy	PROPN
ddj-78	576	8	maximization	maximization	PROPN
ddj-78	576	9	principle	principle	NOUN
ddj-78	576	10	.	.	PUNCT
ddj-78	577	1	in	in	ADP
ddj-78	577	2	tgd	tgd	PROPN
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ddj-78	577	4	theory	theory	NOUN
ddj-78	577	5	of	of	ADP
ddj-78	577	6	consciousness	consciousness	NOUN
ddj-78	577	7	.	.	PUNCT
ddj-78	578	1	onlinebook	onlinebook	PROPN
ddj-78	578	2	.	.	PUNCT
ddj-78	579	1	http://tgdtheory.fi/public_html/tgdconsc/tgdconsc.html#nmpc	http://tgdtheory.fi/public_html/tgdconsc/tgdconsc.html#nmpc	PROPN
ddj-78	579	2	,	,	PUNCT
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ddj-78	579	4	.	.	PUNCT
ddj-78	580	1	[	[	X
ddj-78	580	2	10	10	NUM
ddj-78	580	3	]	]	PUNCT
ddj-78	580	4	m.	m.	NOUN
ddj-78	580	5	pitkänen	pitkänen	PROPN
ddj-78	580	6	.	.	PUNCT
ddj-78	580	7	quantum	quantum	PROPN
ddj-78	580	8	model	model	NOUN
ddj-78	580	9	for	for	ADP
ddj-78	580	10	hearing	hearing	NOUN
ddj-78	580	11	.	.	PUNCT
ddj-78	581	1	in	in	ADP
ddj-78	581	2	tgd	tgd	PROPN
ddj-78	581	3	and	and	CCONJ
ddj-78	581	4	eeg	eeg	PROPN
ddj-78	581	5	.	.	PROPN
ddj-78	581	6	onlinebook	onlinebook	PROPN
ddj-78	581	7	.	.	PUNCT
ddj-78	582	1	http://tgdtheory	http://tgdtheory	NOUN
ddj-78	582	2	.	.	PUNCT
ddj-78	583	1	fi	fi	NOUN
ddj-78	583	2	/	/	SYM
ddj-78	583	3	public_html//tgdeeg	public_html//tgdeeg	ADJ
ddj-78	583	4	/	/	SYM
ddj-78	583	5	tgdeeg	tgdeeg	NOUN
ddj-78	583	6	/	/	SYM
ddj-78	583	7	tgdeeg.html#hearing	tgdeeg.html#hearing	NOUN
ddj-78	583	8	,	,	PUNCT
ddj-78	583	9	2006	2006	NUM
ddj-78	583	10	.	.	PUNCT
ddj-78	584	1	isbn	isbn	ADJ
ddj-78	584	2	:	:	PUNCT
ddj-78	584	3	2159	2159	NUM
ddj-78	584	4	-	-	PUNCT
ddj-78	584	5	046x	046x	NOUN
ddj-78	584	6	dna	dna	NOUN
ddj-78	584	7	decipher	decipher	PROPN
ddj-78	584	8	journal	journal	PROPN
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ddj-78	584	11	by	by	ADP
ddj-78	584	12	quantumdream	quantumdream	PROPN
ddj-78	584	13	,	,	PUNCT
ddj-78	584	14	inc	inc	PROPN
ddj-78	584	15	.	.	PROPN
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ddj-78	584	17	http://www.emis.de/journals/hoa/ijmms/2004/29-321613.pdf	http://www.emis.de/journals/hoa/ijmms/2004/29-321613.pdf	PROPN
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ddj-78	584	19	http://en.wikipedia.org/wiki/genetic_code	http://en.wikipedia.org/wiki/genetic_code	PROPN
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ddj-78	584	22	http://tgdtheory.fi/public_html/genememe/genememe.html#dnatqc	http://tgdtheory.fi/public_html/genememe/genememe.html#dnatqc	PROPN
ddj-78	584	23	http://tgdtheory.fi/public_html/genememe/genememe.html#dnatqc	http://tgdtheory.fi/public_html/genememe/genememe.html#dnatqc	VERB
ddj-78	584	24	http://tgdtheory.fi/public_html/genememe/genememe.html#genememec	http://tgdtheory.fi/public_html/genememe/genememe.html#genememec	PROPN
ddj-78	584	25	http://tgdtheory.fi/public_html/genememe/genememe.html#genememec	http://tgdtheory.fi/public_html/genememe/genememe.html#genememec	PROPN
ddj-78	584	26	http://tgdtheory.fi/public_html/tgdconsc/tgdconsc.html#nmpc	http://tgdtheory.fi/public_html/tgdconsc/tgdconsc.html#nmpc	PROPN
ddj-78	584	27	http://tgdtheory.fi/public_html//tgdeeg/tgdeeg/tgdeeg.html#hearing	http://tgdtheory.fi/public_html//tgdeeg/tgdeeg/tgdeeg.html#heare	VERB
ddj-78	584	28	http://tgdtheory.fi/public_html//tgdeeg/tgdeeg/tgdeeg.html#hearing	http://tgdtheory.fi/public_html//tgdeeg/tgdeeg/tgdeeg.html#heare	VERB
ddj-78	584	29	introduction	introduction	NOUN
ddj-78	584	30	could	could	AUX
ddj-78	584	31	pythagoras	pythagoras	PROPN
ddj-78	584	32	have	have	VERB
ddj-78	584	33	something	something	PRON
ddj-78	584	34	to	to	PART
ddj-78	584	35	give	give	VERB
ddj-78	584	36	for	for	ADP
ddj-78	584	37	the	the	DET
ddj-78	584	38	modern	modern	ADJ
ddj-78	584	39	musicology	musicology	NOUN
ddj-78	584	40	?	?	PUNCT
ddj-78	585	1	pythagoras	pythagoras	PROPN
ddj-78	585	2	and	and	CCONJ
ddj-78	585	3	transition	transition	NOUN
ddj-78	585	4	from	from	ADP
ddj-78	585	5	rational	rational	ADJ
ddj-78	585	6	numbers	number	NOUN
ddj-78	585	7	to	to	ADP
ddj-78	585	8	algebraic	algebraic	ADJ
ddj-78	585	9	numbers	number	NOUN
ddj-78	585	10	pythagoras	pythagora	NOUN
ddj-78	585	11	and	and	CCONJ
ddj-78	585	12	music	music	NOUN
ddj-78	585	13	music	music	NOUN
ddj-78	585	14	and	and	CCONJ
ddj-78	585	15	platonic	platonic	ADJ
ddj-78	585	16	solids	solid	NOUN
ddj-78	585	17	numbers	number	NOUN
ddj-78	585	18	of	of	ADP
ddj-78	585	19	different	different	ADJ
ddj-78	585	20	triangles	triangle	NOUN
ddj-78	585	21	as	as	ADP
ddj-78	585	22	characterizers	characterizer	NOUN
ddj-78	585	23	of	of	ADP
ddj-78	585	24	harmony	harmony	NOUN
ddj-78	585	25	additional	additional	ADJ
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ddj-78	585	27	invariants	invariant	NOUN
ddj-78	585	28	characterizing	characterize	VERB
ddj-78	585	29	the	the	DET
ddj-78	585	30	notion	notion	NOUN
ddj-78	585	31	of	of	ADP
ddj-78	585	32	harmony	harmony	NOUN
ddj-78	585	33	distribution	distribution	NOUN
ddj-78	585	34	of	of	ADP
ddj-78	585	35	different	different	ADJ
ddj-78	585	36	types	type	NOUN
ddj-78	585	37	of	of	ADP
ddj-78	585	38	edges	edge	NOUN
ddj-78	585	39	would	would	AUX
ddj-78	585	40	you	you	PRON
ddj-78	585	41	come	come	VERB
ddj-78	585	42	to	to	ADP
ddj-78	585	43	icosadisco	icosadisco	PROPN
ddj-78	585	44	with	with	ADP
ddj-78	585	45	me	i	PRON
ddj-78	585	46	?	?	PUNCT
ddj-78	586	1	connection	connection	NOUN
ddj-78	586	2	between	between	ADP
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ddj-78	586	5	biology	biology	NOUN
ddj-78	586	6	?	?	PUNCT
ddj-78	587	1	could	could	AUX
ddj-78	587	2	amino	amino	NOUN
ddj-78	587	3	-	-	PUNCT
ddj-78	587	4	acids	acid	NOUN
ddj-78	587	5	correspond	correspond	NOUN
ddj-78	587	6	to	to	ADP
ddj-78	587	7	3	3	NUM
ddj-78	587	8	-	-	NOUN
ddj-78	587	9	chords	chord	NOUN
ddj-78	587	10	of	of	ADP
ddj-78	587	11	icosahedral	icosahedral	ADJ
ddj-78	587	12	harmony	harmony	NOUN
ddj-78	587	13	?	?	PUNCT
ddj-78	588	1	can	can	AUX
ddj-78	588	2	one	one	PRON
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ddj-78	588	4	genetic	genetic	ADJ
ddj-78	588	5	code	code	NOUN
ddj-78	588	6	?	?	PUNCT
ddj-78	589	1	does	do	VERB
ddj-78	589	2	the	the	DET
ddj-78	589	3	understanding	understanding	NOUN
ddj-78	589	4	of	of	ADP
ddj-78	589	5	stopping	stop	VERB
ddj-78	589	6	codons	codon	NOUN
ddj-78	589	7	and	and	CCONJ
ddj-78	589	8	21st	21st	ADJ
ddj-78	589	9	and	and	CCONJ
ddj-78	589	10	22nd	22nd	NOUN
ddj-78	589	11	amino	amino	ADJ
ddj-78	589	12	-	-	PUNCT
ddj-78	589	13	acids	acid	NOUN
ddj-78	589	14	require	require	VERB
ddj-78	589	15	fusion	fusion	NOUN
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ddj-78	589	17	tetrahedral	tetrahedral	ADJ
ddj-78	589	18	and	and	CCONJ
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ddj-78	589	20	codes	code	NOUN
ddj-78	589	21	?	?	PUNCT
ddj-78	590	1	attachment	attachment	NOUN
ddj-78	590	2	of	of	ADP
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ddj-78	590	4	to	to	PART
ddj-78	590	5	icosahedron	icosahedron	VERB
ddj-78	590	6	as	as	ADP
ddj-78	590	7	extension	extension	NOUN
ddj-78	590	8	of	of	ADP
ddj-78	590	9	isosahedral	isosahedral	ADJ
ddj-78	590	10	code	code	NOUN
ddj-78	590	11	how	how	SCONJ
ddj-78	590	12	the	the	DET
ddj-78	590	13	icosahedral	icosahedral	ADJ
ddj-78	590	14	hamiltonian	hamiltonian	ADJ
ddj-78	590	15	cycle	cycle	NOUN
ddj-78	590	16	is	be	AUX
ddj-78	590	17	modified	modify	VERB
ddj-78	590	18	?	?	PUNCT
ddj-78	591	1	direct	direct	ADJ
ddj-78	591	2	construction	construction	NOUN
ddj-78	591	3	of	of	ADP
ddj-78	591	4	hamiltonian	hamiltonian	ADJ
ddj-78	591	5	cycle	cycle	NOUN
ddj-78	591	6	corresponding	correspond	VERB
ddj-78	591	7	to	to	ADP
ddj-78	591	8	bioharmony	bioharmony	NOUN
ddj-78	591	9	stopping	stop	VERB
ddj-78	591	10	codons	codon	NOUN
ddj-78	591	11	and	and	CCONJ
ddj-78	591	12	music	music	NOUN
ddj-78	591	13	geometric	geometric	ADJ
ddj-78	591	14	description	description	NOUN
ddj-78	591	15	of	of	ADP
ddj-78	591	16	dna	dna	NOUN
ddj-78	591	17	-	-	PUNCT
ddj-78	591	18	amino	amino	ADJ
ddj-78	591	19	-	-	PUNCT
ddj-78	591	20	acid	acid	NOUN
ddj-78	591	21	correspondence	correspondence	NOUN
ddj-78	591	22	how	how	SCONJ
ddj-78	591	23	could	could	AUX
ddj-78	591	24	one	one	PRON
ddj-78	591	25	construct	construct	VERB
ddj-78	591	26	the	the	DET
ddj-78	591	27	hamiltonian	hamiltonian	ADJ
ddj-78	591	28	cycles	cycle	NOUN
ddj-78	591	29	on	on	ADP
ddj-78	591	30	icosahedron	icosahedron	NUM
ddj-78	591	31	with	with	ADP
ddj-78	591	32	a	a	DET
ddj-78	591	33	minimal	minimal	ADJ
ddj-78	591	34	computational	computational	ADJ
ddj-78	591	35	work	work	NOUN
ddj-78	591	36	?	?	PUNCT
ddj-78	592	1	other	other	ADJ
ddj-78	592	2	ideas	idea	NOUN
ddj-78	592	3	p	p	NOUN
ddj-78	592	4	-	-	PUNCT
ddj-78	592	5	adic	adic	NOUN
ddj-78	592	6	length	length	NOUN
ddj-78	592	7	scale	scale	NOUN
ddj-78	592	8	hypothesis	hypothesis	NOUN
ddj-78	592	9	and	and	CCONJ
ddj-78	592	10	music	music	NOUN
ddj-78	592	11	eeg	eeg	NOUN
ddj-78	592	12	and	and	CCONJ
ddj-78	592	13	music	music	NOUN
ddj-78	592	14	standing	stand	VERB
ddj-78	592	15	waves	wave	NOUN
ddj-78	592	16	and	and	CCONJ
ddj-78	592	17	music	music	NOUN
ddj-78	592	18	emotions	emotion	NOUN
ddj-78	592	19	and	and	CCONJ
ddj-78	592	20	4	4	NUM
ddj-78	592	21	-	-	PUNCT
ddj-78	592	22	d	d	NOUN
ddj-78	592	23	character	character	NOUN
ddj-78	592	24	of	of	ADP
ddj-78	592	25	music	music	NOUN
ddj-78	592	26	experience	experience	NOUN