id	sid	tid	token	lemma	pos
ejpam-4319	1	1	european	european	PROPN
ejpam-4319	1	2	journal	journal	PROPN
ejpam-4319	1	3	of	of	ADP
ejpam-4319	1	4	pure	pure	ADJ
ejpam-4319	1	5	and	and	CCONJ
ejpam-4319	1	6	applied	apply	VERB
ejpam-4319	1	7	mathematics	mathematic	NOUN
ejpam-4319	1	8	vol	vol	NOUN
ejpam-4319	1	9	.	.	PROPN
ejpam-4319	2	1	15	15	NUM
ejpam-4319	2	2	,	,	PUNCT
ejpam-4319	2	3	no	no	INTJ
ejpam-4319	2	4	.	.	NOUN
ejpam-4319	2	5	2	2	NUM
ejpam-4319	2	6	,	,	PUNCT
ejpam-4319	2	7	2022	2022	NUM
ejpam-4319	2	8	,	,	PUNCT
ejpam-4319	2	9	375	375	NUM
ejpam-4319	2	10	-	-	SYM
ejpam-4319	2	11	389	389	NUM
ejpam-4319	2	12	issn	issn	PROPN
ejpam-4319	2	13	1307	1307	NUM
ejpam-4319	2	14	-	-	SYM
ejpam-4319	2	15	5543	5543	NUM
ejpam-4319	2	16	–	–	PUNCT
ejpam-4319	2	17	ejpam.com	ejpam.com	X
ejpam-4319	2	18	published	publish	VERB
ejpam-4319	2	19	by	by	ADP
ejpam-4319	2	20	new	new	PROPN
ejpam-4319	2	21	york	york	PROPN
ejpam-4319	2	22	business	business	PROPN
ejpam-4319	2	23	global	global	PROPN
ejpam-4319	2	24	origami	origami	NOUN
ejpam-4319	2	25	wrapping	wrap	VERB
ejpam-4319	2	26	with	with	ADP
ejpam-4319	2	27	an	an	DET
ejpam-4319	2	28	equilateral	equilateral	ADJ
ejpam-4319	2	29	triangular	triangular	NOUN
ejpam-4319	2	30	prism	prism	NOUN
ejpam-4319	2	31	attawut	attawut	PROPN
ejpam-4319	2	32	wongpradit1	wongpradit1	PROPN
ejpam-4319	2	33	,	,	PUNCT
ejpam-4319	2	34	prathomjit	prathomjit	PROPN
ejpam-4319	2	35	khachorncharoenkul2,∗	khachorncharoenkul2,∗	PROPN
ejpam-4319	2	36	1	1	NUM
ejpam-4319	2	37	division	division	NOUN
ejpam-4319	2	38	of	of	ADP
ejpam-4319	2	39	mathematics	mathematic	NOUN
ejpam-4319	2	40	and	and	CCONJ
ejpam-4319	2	41	statistics	statistic	NOUN
ejpam-4319	2	42	,	,	PUNCT
ejpam-4319	2	43	faculty	faculty	NOUN
ejpam-4319	2	44	of	of	ADP
ejpam-4319	2	45	science	science	NOUN
ejpam-4319	2	46	and	and	CCONJ
ejpam-4319	2	47	technology	technology	NOUN
ejpam-4319	2	48	,	,	PUNCT
ejpam-4319	2	49	thammasat	thammasat	PROPN
ejpam-4319	2	50	university	university	PROPN
ejpam-4319	2	51	,	,	PUNCT
ejpam-4319	2	52	bangkok	bangkok	PROPN
ejpam-4319	2	53	,	,	PUNCT
ejpam-4319	2	54	10330	10330	NUM
ejpam-4319	2	55	,	,	PUNCT
ejpam-4319	2	56	thailand	thailand	PROPN
ejpam-4319	2	57	2	2	NUM
ejpam-4319	2	58	school	school	NOUN
ejpam-4319	2	59	of	of	ADP
ejpam-4319	2	60	science	science	NOUN
ejpam-4319	2	61	,	,	PUNCT
ejpam-4319	2	62	walailak	walailak	ADJ
ejpam-4319	2	63	university	university	NOUN
ejpam-4319	2	64	,	,	PUNCT
ejpam-4319	2	65	nakhon	nakhon	PROPN
ejpam-4319	2	66	si	si	PROPN
ejpam-4319	2	67	thammarat	thammarat	PROPN
ejpam-4319	2	68	,	,	PUNCT
ejpam-4319	2	69	80160	80160	NUM
ejpam-4319	2	70	,	,	PUNCT
ejpam-4319	2	71	thailand	thailand	PROPN
ejpam-4319	2	72	abstract	abstract	NOUN
ejpam-4319	2	73	.	.	PUNCT
ejpam-4319	3	1	we	we	PRON
ejpam-4319	3	2	study	study	VERB
ejpam-4319	3	3	a	a	DET
ejpam-4319	3	4	geometric	geometric	ADJ
ejpam-4319	3	5	model	model	NOUN
ejpam-4319	3	6	to	to	PART
ejpam-4319	3	7	find	find	VERB
ejpam-4319	3	8	the	the	DET
ejpam-4319	3	9	relationship	relationship	NOUN
ejpam-4319	3	10	of	of	ADP
ejpam-4319	3	11	the	the	DET
ejpam-4319	3	12	surface	surface	NOUN
ejpam-4319	3	13	area	area	NOUN
ejpam-4319	3	14	of	of	ADP
ejpam-4319	3	15	rectangular	rectangular	ADJ
ejpam-4319	3	16	packaging	packaging	NOUN
ejpam-4319	3	17	that	that	PRON
ejpam-4319	3	18	encapsulates	encapsulate	VERB
ejpam-4319	3	19	an	an	DET
ejpam-4319	3	20	equilateral	equilateral	ADJ
ejpam-4319	3	21	triangular	triangular	NOUN
ejpam-4319	3	22	prism	prism	NOUN
ejpam-4319	3	23	in	in	ADP
ejpam-4319	3	24	a	a	DET
ejpam-4319	3	25	thai	thai	ADJ
ejpam-4319	3	26	traditional	traditional	ADJ
ejpam-4319	3	27	tall	tall	ADJ
ejpam-4319	3	28	wrap	wrap	NOUN
ejpam-4319	3	29	pattern	pattern	NOUN
ejpam-4319	3	30	and	and	CCONJ
ejpam-4319	3	31	find	find	VERB
ejpam-4319	3	32	the	the	DET
ejpam-4319	3	33	minimum	minimum	ADJ
ejpam-4319	3	34	area	area	NOUN
ejpam-4319	3	35	of	of	ADP
ejpam-4319	3	36	a	a	DET
ejpam-4319	3	37	rectangular	rectangular	ADJ
ejpam-4319	3	38	wrapping	wrapping	NOUN
ejpam-4319	3	39	paper	paper	NOUN
ejpam-4319	3	40	.	.	PUNCT
ejpam-4319	4	1	2020	2020	NUM
ejpam-4319	4	2	mathematics	mathematic	NOUN
ejpam-4319	4	3	subject	subject	NOUN
ejpam-4319	4	4	classifications	classification	NOUN
ejpam-4319	4	5	:	:	PUNCT
ejpam-4319	4	6	14g22	14g22	NUM
ejpam-4319	4	7	,	,	PUNCT
ejpam-4319	4	8	52b10	52b10	NUM
ejpam-4319	4	9	key	key	ADJ
ejpam-4319	4	10	words	word	NOUN
ejpam-4319	4	11	and	and	CCONJ
ejpam-4319	4	12	phrases	phrase	NOUN
ejpam-4319	4	13	:	:	PUNCT
ejpam-4319	4	14	origami	origami	NOUN
ejpam-4319	4	15	,	,	PUNCT
ejpam-4319	4	16	geometric	geometric	ADJ
ejpam-4319	4	17	model	model	NOUN
ejpam-4319	4	18	,	,	PUNCT
ejpam-4319	4	19	package	package	NOUN
ejpam-4319	4	20	1	1	NUM
ejpam-4319	4	21	.	.	PUNCT
ejpam-4319	5	1	introduction	introduction	NOUN
ejpam-4319	5	2	traditional	traditional	ADJ
ejpam-4319	5	3	food	food	NOUN
ejpam-4319	5	4	packaging	packaging	NOUN
ejpam-4319	5	5	has	have	AUX
ejpam-4319	5	6	been	be	AUX
ejpam-4319	5	7	developed	develop	VERB
ejpam-4319	5	8	into	into	ADP
ejpam-4319	5	9	a	a	DET
ejpam-4319	5	10	practical	practical	ADJ
ejpam-4319	5	11	method	method	NOUN
ejpam-4319	5	12	to	to	PART
ejpam-4319	5	13	protect	protect	VERB
ejpam-4319	5	14	a	a	DET
ejpam-4319	5	15	meal	meal	NOUN
ejpam-4319	5	16	during	during	ADP
ejpam-4319	5	17	both	both	CCONJ
ejpam-4319	5	18	storage	storage	NOUN
ejpam-4319	5	19	and	and	CCONJ
ejpam-4319	5	20	transportation	transportation	NOUN
ejpam-4319	5	21	.	.	PUNCT
ejpam-4319	6	1	due	due	ADP
ejpam-4319	6	2	to	to	ADP
ejpam-4319	6	3	changes	change	NOUN
ejpam-4319	6	4	in	in	ADP
ejpam-4319	6	5	technology	technology	NOUN
ejpam-4319	6	6	and	and	CCONJ
ejpam-4319	6	7	large	large	ADJ
ejpam-4319	6	8	quantities	quantity	NOUN
ejpam-4319	6	9	of	of	ADP
ejpam-4319	6	10	human	human	ADJ
ejpam-4319	6	11	consumption	consumption	NOUN
ejpam-4319	6	12	,	,	PUNCT
ejpam-4319	6	13	containers	container	NOUN
ejpam-4319	6	14	from	from	ADP
ejpam-4319	6	15	natural	natural	ADJ
ejpam-4319	6	16	materials	material	NOUN
ejpam-4319	6	17	are	be	AUX
ejpam-4319	6	18	considered	consider	VERB
ejpam-4319	6	19	non	non	ADJ
ejpam-4319	6	20	practical	practical	ADJ
ejpam-4319	6	21	resources	resource	NOUN
ejpam-4319	6	22	in	in	ADP
ejpam-4319	6	23	modern	modern	ADJ
ejpam-4319	6	24	manufacturing	manufacturing	NOUN
ejpam-4319	6	25	[	[	X
ejpam-4319	6	26	1	1	NUM
ejpam-4319	6	27	,	,	PUNCT
ejpam-4319	6	28	5	5	NUM
ejpam-4319	6	29	]	]	PUNCT
ejpam-4319	6	30	.	.	PUNCT
ejpam-4319	7	1	instead	instead	ADV
ejpam-4319	7	2	of	of	ADP
ejpam-4319	7	3	fading	fade	VERB
ejpam-4319	7	4	from	from	ADP
ejpam-4319	7	5	history	history	NOUN
ejpam-4319	7	6	,	,	PUNCT
ejpam-4319	7	7	local	local	ADJ
ejpam-4319	7	8	wrapping	wrapping	NOUN
ejpam-4319	7	9	knowledge	knowledge	NOUN
ejpam-4319	7	10	is	be	AUX
ejpam-4319	7	11	one	one	NUM
ejpam-4319	7	12	of	of	ADP
ejpam-4319	7	13	the	the	DET
ejpam-4319	7	14	most	most	ADV
ejpam-4319	7	15	widely	widely	ADV
ejpam-4319	7	16	studied	study	VERB
ejpam-4319	7	17	topics	topic	NOUN
ejpam-4319	7	18	due	due	ADJ
ejpam-4319	7	19	to	to	ADP
ejpam-4319	7	20	the	the	DET
ejpam-4319	7	21	beauty	beauty	NOUN
ejpam-4319	7	22	of	of	ADP
ejpam-4319	7	23	its	its	PRON
ejpam-4319	7	24	complex	complex	ADJ
ejpam-4319	7	25	design	design	NOUN
ejpam-4319	7	26	[	[	X
ejpam-4319	7	27	4	4	NUM
ejpam-4319	7	28	,	,	PUNCT
ejpam-4319	7	29	6	6	NUM
ejpam-4319	7	30	,	,	PUNCT
ejpam-4319	7	31	7	7	NUM
ejpam-4319	7	32	]	]	PUNCT
ejpam-4319	7	33	,	,	PUNCT
ejpam-4319	7	34	the	the	DET
ejpam-4319	7	35	convenience	convenience	NOUN
ejpam-4319	7	36	of	of	ADP
ejpam-4319	7	37	the	the	DET
ejpam-4319	7	38	user	user	NOUN
ejpam-4319	7	39	[	[	X
ejpam-4319	7	40	3	3	NUM
ejpam-4319	7	41	]	]	PUNCT
ejpam-4319	7	42	,	,	PUNCT
ejpam-4319	7	43	the	the	DET
ejpam-4319	7	44	efficiency	efficiency	NOUN
ejpam-4319	7	45	of	of	ADP
ejpam-4319	7	46	folding	fold	VERB
ejpam-4319	7	47	techniques	technique	NOUN
ejpam-4319	7	48	[	[	X
ejpam-4319	7	49	5	5	NUM
ejpam-4319	7	50	]	]	PUNCT
ejpam-4319	7	51	,	,	PUNCT
ejpam-4319	7	52	and	and	CCONJ
ejpam-4319	7	53	the	the	DET
ejpam-4319	7	54	eco	eco	NOUN
ejpam-4319	7	55	-	-	PUNCT
ejpam-4319	7	56	friendly	friendly	ADJ
ejpam-4319	7	57	reason	reason	NOUN
ejpam-4319	7	58	[	[	X
ejpam-4319	7	59	2	2	NUM
ejpam-4319	7	60	,	,	PUNCT
ejpam-4319	7	61	5	5	NUM
ejpam-4319	7	62	]	]	PUNCT
ejpam-4319	7	63	.	.	PUNCT
ejpam-4319	8	1	especially	especially	ADV
ejpam-4319	8	2	from	from	ADP
ejpam-4319	8	3	a	a	DET
ejpam-4319	8	4	usage	usage	NOUN
ejpam-4319	8	5	viewpoint	viewpoint	NOUN
ejpam-4319	8	6	,	,	PUNCT
ejpam-4319	8	7	food	food	NOUN
ejpam-4319	8	8	packed	pack	VERB
ejpam-4319	8	9	in	in	ADP
ejpam-4319	8	10	the	the	DET
ejpam-4319	8	11	traditional	traditional	ADJ
ejpam-4319	8	12	pattern	pattern	NOUN
ejpam-4319	8	13	is	be	AUX
ejpam-4319	8	14	tightly	tightly	ADV
ejpam-4319	8	15	sealed	seal	VERB
ejpam-4319	8	16	compared	compare	VERB
ejpam-4319	8	17	to	to	ADP
ejpam-4319	8	18	the	the	DET
ejpam-4319	8	19	quantity	quantity	NOUN
ejpam-4319	8	20	of	of	ADP
ejpam-4319	8	21	the	the	DET
ejpam-4319	8	22	material	material	NOUN
ejpam-4319	8	23	used	use	VERB
ejpam-4319	8	24	.	.	PUNCT
ejpam-4319	9	1	to	to	PART
ejpam-4319	9	2	analyze	analyze	VERB
ejpam-4319	9	3	the	the	DET
ejpam-4319	9	4	relation	relation	NOUN
ejpam-4319	9	5	between	between	ADP
ejpam-4319	9	6	the	the	DET
ejpam-4319	9	7	amount	amount	NOUN
ejpam-4319	9	8	of	of	ADP
ejpam-4319	9	9	material	material	NOUN
ejpam-4319	9	10	and	and	CCONJ
ejpam-4319	9	11	the	the	DET
ejpam-4319	9	12	size	size	NOUN
ejpam-4319	9	13	of	of	ADP
ejpam-4319	9	14	the	the	DET
ejpam-4319	9	15	contained	contain	VERB
ejpam-4319	9	16	goods	good	NOUN
ejpam-4319	9	17	,	,	PUNCT
ejpam-4319	9	18	we	we	PRON
ejpam-4319	9	19	begin	begin	VERB
ejpam-4319	9	20	with	with	ADP
ejpam-4319	9	21	the	the	DET
ejpam-4319	9	22	soongsung	soongsung	PROPN
ejpam-4319	9	23	style	style	NOUN
ejpam-4319	9	24	,	,	PUNCT
ejpam-4319	9	25	a	a	DET
ejpam-4319	9	26	thai	thai	ADJ
ejpam-4319	9	27	tall	tall	ADJ
ejpam-4319	9	28	form	form	NOUN
ejpam-4319	9	29	banana	banana	NOUN
ejpam-4319	9	30	leaf	leaf	NOUN
ejpam-4319	9	31	wrapping	wrapping	NOUN
ejpam-4319	9	32	style	style	NOUN
ejpam-4319	9	33	that	that	PRON
ejpam-4319	9	34	is	be	AUX
ejpam-4319	9	35	still	still	ADV
ejpam-4319	9	36	currently	currently	ADV
ejpam-4319	9	37	utilized	utilize	VERB
ejpam-4319	9	38	in	in	ADP
ejpam-4319	9	39	thai	thai	ADJ
ejpam-4319	9	40	rural	rural	ADJ
ejpam-4319	9	41	areas	area	NOUN
ejpam-4319	9	42	.	.	PUNCT
ejpam-4319	10	1	this	this	DET
ejpam-4319	10	2	paper	paper	NOUN
ejpam-4319	10	3	focuses	focus	VERB
ejpam-4319	10	4	,	,	PUNCT
ejpam-4319	10	5	through	through	ADP
ejpam-4319	10	6	geometric	geometric	ADJ
ejpam-4319	10	7	investigations	investigation	NOUN
ejpam-4319	10	8	,	,	PUNCT
ejpam-4319	10	9	on	on	ADP
ejpam-4319	10	10	the	the	DET
ejpam-4319	10	11	folding	fold	VERB
ejpam-4319	10	12	pattern	pattern	NOUN
ejpam-4319	10	13	of	of	ADP
ejpam-4319	10	14	this	this	DET
ejpam-4319	10	15	tall	tall	ADJ
ejpam-4319	10	16	wrapping	wrapping	NOUN
ejpam-4319	10	17	style	style	NOUN
ejpam-4319	10	18	,	,	PUNCT
ejpam-4319	10	19	which	which	PRON
ejpam-4319	10	20	always	always	ADV
ejpam-4319	10	21	begins	begin	VERB
ejpam-4319	10	22	from	from	ADP
ejpam-4319	10	23	a	a	DET
ejpam-4319	10	24	banana	banana	NOUN
ejpam-4319	10	25	leaf	leaf	NOUN
ejpam-4319	10	26	that	that	PRON
ejpam-4319	10	27	is	be	AUX
ejpam-4319	10	28	cut	cut	VERB
ejpam-4319	10	29	into	into	ADP
ejpam-4319	10	30	a	a	DET
ejpam-4319	10	31	rectangular	rectangular	ADJ
ejpam-4319	10	32	shape	shape	NOUN
ejpam-4319	10	33	to	to	PART
ejpam-4319	10	34	cover	cover	VERB
ejpam-4319	10	35	khanom	khanom	PROPN
ejpam-4319	10	36	saisai	saisai	PROPN
ejpam-4319	10	37	,	,	PUNCT
ejpam-4319	10	38	a	a	DET
ejpam-4319	10	39	coconut	coconut	NOUN
ejpam-4319	10	40	milk	milk	NOUN
ejpam-4319	10	41	custard	custard	NOUN
ejpam-4319	10	42	that	that	PRON
ejpam-4319	10	43	is	be	AUX
ejpam-4319	10	44	steamed	steam	VERB
ejpam-4319	10	45	in	in	ADP
ejpam-4319	10	46	the	the	DET
ejpam-4319	10	47	form	form	NOUN
ejpam-4319	10	48	of	of	ADP
ejpam-4319	10	49	a	a	DET
ejpam-4319	10	50	triangular	triangular	NOUN
ejpam-4319	10	51	prism	prism	NOUN
ejpam-4319	10	52	,	,	PUNCT
ejpam-4319	10	53	as	as	SCONJ
ejpam-4319	10	54	shown	show	VERB
ejpam-4319	10	55	in	in	ADP
ejpam-4319	10	56	figure	figure	NOUN
ejpam-4319	10	57	1	1	NUM
ejpam-4319	10	58	.	.	PUNCT
ejpam-4319	11	1	in	in	ADP
ejpam-4319	11	2	this	this	DET
ejpam-4319	11	3	paper	paper	NOUN
ejpam-4319	11	4	,	,	PUNCT
ejpam-4319	11	5	an	an	DET
ejpam-4319	11	6	equilateral	equilateral	ADJ
ejpam-4319	11	7	triangular	triangular	NOUN
ejpam-4319	11	8	prism	prism	NOUN
ejpam-4319	11	9	is	be	AUX
ejpam-4319	11	10	used	use	VERB
ejpam-4319	11	11	to	to	PART
ejpam-4319	11	12	represent	represent	VERB
ejpam-4319	11	13	a	a	DET
ejpam-4319	11	14	triangular	triangular	NOUN
ejpam-4319	11	15	prism	prism	NOUN
ejpam-4319	11	16	carried	carry	VERB
ejpam-4319	11	17	in	in	ADP
ejpam-4319	11	18	the	the	DET
ejpam-4319	11	19	package	package	NOUN
ejpam-4319	11	20	to	to	PART
ejpam-4319	11	21	serve	serve	VERB
ejpam-4319	11	22	the	the	DET
ejpam-4319	11	23	convenient	convenient	ADJ
ejpam-4319	11	24	purpose	purpose	NOUN
ejpam-4319	11	25	of	of	ADP
ejpam-4319	11	26	deriving	derive	VERB
ejpam-4319	11	27	a	a	DET
ejpam-4319	11	28	proof	proof	NOUN
ejpam-4319	11	29	.	.	PUNCT
ejpam-4319	12	1	the	the	DET
ejpam-4319	12	2	aim	aim	NOUN
ejpam-4319	12	3	is	be	AUX
ejpam-4319	12	4	to	to	PART
ejpam-4319	12	5	determine	determine	VERB
ejpam-4319	12	6	the	the	DET
ejpam-4319	12	7	optimal	optimal	ADJ
ejpam-4319	12	8	size	size	NOUN
ejpam-4319	12	9	of	of	ADP
ejpam-4319	12	10	the	the	DET
ejpam-4319	12	11	wrapping	wrapping	NOUN
ejpam-4319	12	12	rectangle	rectangle	NOUN
ejpam-4319	12	13	that	that	PRON
ejpam-4319	12	14	varies	vary	VERB
ejpam-4319	12	15	by	by	ADP
ejpam-4319	12	16	the	the	DET
ejpam-4319	12	17	given	give	VERB
ejpam-4319	12	18	size	size	NOUN
ejpam-4319	12	19	of	of	ADP
ejpam-4319	12	20	the	the	DET
ejpam-4319	12	21	equilateral	equilateral	ADJ
ejpam-4319	12	22	triangular	triangular	NOUN
ejpam-4319	12	23	prism	prism	NOUN
ejpam-4319	12	24	contained	contain	VERB
ejpam-4319	12	25	,	,	PUNCT
ejpam-4319	12	26	as	as	SCONJ
ejpam-4319	12	27	shown	show	VERB
ejpam-4319	12	28	in	in	ADP
ejpam-4319	12	29	theorem	theorem	ADJ
ejpam-4319	12	30	1	1	NUM
ejpam-4319	12	31	and	and	CCONJ
ejpam-4319	12	32	theorem	theorem	VERB
ejpam-4319	12	33	2	2	NUM
ejpam-4319	12	34	.	.	PUNCT
ejpam-4319	12	35	∗corresponding	∗corresponde	VERB
ejpam-4319	12	36	author	author	NOUN
ejpam-4319	12	37	.	.	PUNCT
ejpam-4319	13	1	doi	doi	NOUN
ejpam-4319	13	2	:	:	PUNCT
ejpam-4319	13	3	https://doi.org/10.29020/nybg.ejpam.v15i2.4319	https://doi.org/10.29020/nybg.ejpam.v15i2.4319	ADJ
ejpam-4319	13	4	email	email	NOUN
ejpam-4319	13	5	addresses	address	NOUN
ejpam-4319	13	6	:	:	PUNCT
ejpam-4319	13	7	attawutt@tu.ac.th	attawutt@tu.ac.th	NOUN
ejpam-4319	13	8	(	(	PUNCT
ejpam-4319	13	9	a.	a.	NOUN
ejpam-4319	13	10	wongpradit	wongpradit	NOUN
ejpam-4319	13	11	)	)	PUNCT
ejpam-4319	13	12	,	,	PUNCT
ejpam-4319	13	13	prathomjit@gmail.com	prathomjit@gmail.com	X
ejpam-4319	13	14	(	(	PUNCT
ejpam-4319	13	15	p.	p.	NOUN
ejpam-4319	13	16	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	13	17	)	)	PUNCT
ejpam-4319	13	18	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4319	14	1	375	375	NUM
ejpam-4319	15	1	©	©	ADP
ejpam-4319	15	2	2022	2022	NUM
ejpam-4319	15	3	ejpam	ejpam	VERB
ejpam-4319	15	4	all	all	DET
ejpam-4319	15	5	rights	right	NOUN
ejpam-4319	15	6	reserved	reserve	VERB
ejpam-4319	15	7	.	.	PUNCT
ejpam-4319	16	1	a.	a.	NOUN
ejpam-4319	16	2	wongpradit	wongpradit	PROPN
ejpam-4319	16	3	,	,	PUNCT
ejpam-4319	16	4	p.	p.	NOUN
ejpam-4319	16	5	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	16	6	/	/	SYM
ejpam-4319	16	7	eur	eur	PROPN
ejpam-4319	16	8	.	.	PUNCT
ejpam-4319	17	1	j.	j.	PROPN
ejpam-4319	17	2	pure	pure	PROPN
ejpam-4319	17	3	appl	appl	PROPN
ejpam-4319	17	4	.	.	PROPN
ejpam-4319	17	5	math	math	PROPN
ejpam-4319	17	6	,	,	PUNCT
ejpam-4319	17	7	15	15	NUM
ejpam-4319	17	8	(	(	PUNCT
ejpam-4319	17	9	2	2	NUM
ejpam-4319	17	10	)	)	PUNCT
ejpam-4319	17	11	(	(	PUNCT
ejpam-4319	17	12	2022	2022	NUM
ejpam-4319	17	13	)	)	PUNCT
ejpam-4319	17	14	,	,	PUNCT
ejpam-4319	17	15	375	375	NUM
ejpam-4319	17	16	-	-	SYM
ejpam-4319	17	17	389	389	NUM
ejpam-4319	17	18	376	376	NUM
ejpam-4319	17	19	figure	figure	NOUN
ejpam-4319	17	20	1	1	NUM
ejpam-4319	17	21	:	:	PUNCT
ejpam-4319	17	22	khanom	khanom	PROPN
ejpam-4319	17	23	saisai	saisai	PROPN
ejpam-4319	17	24	.	.	PUNCT
ejpam-4319	18	1	left	leave	VERB
ejpam-4319	18	2	figure	figure	NOUN
ejpam-4319	18	3	:	:	PUNCT
ejpam-4319	18	4	https://shorturl.at/elvyv	https://shorturl.at/elvyv	NUM
ejpam-4319	19	1	right	right	ADJ
ejpam-4319	19	2	figure	figure	NOUN
ejpam-4319	19	3	:	:	PUNCT
ejpam-4319	19	4	https://shorturl.at/gwap7	https://shorturl.at/gwap7	PROPN
ejpam-4319	19	5	2	2	NUM
ejpam-4319	19	6	.	.	X
ejpam-4319	20	1	thai	thai	PROPN
ejpam-4319	20	2	traditional	traditional	ADJ
ejpam-4319	20	3	tall	tall	ADJ
ejpam-4319	20	4	wrapping	wrapping	NOUN
ejpam-4319	20	5	pattern	pattern	NOUN
ejpam-4319	20	6	let	let	VERB
ejpam-4319	20	7	a1a2a3a4	a1a2a3a4	PROPN
ejpam-4319	20	8	be	be	AUX
ejpam-4319	20	9	a	a	DET
ejpam-4319	20	10	rectangular	rectangular	ADJ
ejpam-4319	20	11	wrapping	wrapping	NOUN
ejpam-4319	20	12	paper	paper	NOUN
ejpam-4319	20	13	with	with	ADP
ejpam-4319	20	14	|a1a4|	|a1a4|	PROPN
ejpam-4319	20	15	>	>	X
ejpam-4319	20	16	|a1a2|	|a1a2|	PROPN
ejpam-4319	20	17	.	.	PUNCT
ejpam-4319	21	1	let	let	VERB
ejpam-4319	21	2	b1b2b3b4b5b6	b1b2b3b4b5b6	PRON
ejpam-4319	21	3	be	be	AUX
ejpam-4319	21	4	an	an	DET
ejpam-4319	21	5	equilateral	equilateral	ADJ
ejpam-4319	21	6	triangular	triangular	NOUN
ejpam-4319	21	7	prism	prism	NOUN
ejpam-4319	21	8	such	such	ADJ
ejpam-4319	21	9	that	that	SCONJ
ejpam-4319	21	10	each	each	DET
ejpam-4319	21	11	cross	cross	ADJ
ejpam-4319	21	12	-	-	ADJ
ejpam-4319	21	13	section	section	ADJ
ejpam-4319	21	14	b1b2b6	b1b2b6	NOUN
ejpam-4319	21	15	and	and	CCONJ
ejpam-4319	21	16	b3b4b5	b3b4b5	NOUN
ejpam-4319	21	17	is	be	AUX
ejpam-4319	21	18	an	an	DET
ejpam-4319	21	19	equilateral	equilateral	ADJ
ejpam-4319	21	20	triangle	triangle	NOUN
ejpam-4319	21	21	;	;	PUNCT
ejpam-4319	21	22	see	see	VERB
ejpam-4319	21	23	figure	figure	NOUN
ejpam-4319	21	24	2	2	NUM
ejpam-4319	21	25	.	.	PUNCT
ejpam-4319	21	26	figure	figure	NOUN
ejpam-4319	21	27	2	2	NUM
ejpam-4319	21	28	:	:	PUNCT
ejpam-4319	21	29	size	size	NOUN
ejpam-4319	21	30	of	of	ADP
ejpam-4319	21	31	a	a	DET
ejpam-4319	21	32	prism	prism	NOUN
ejpam-4319	21	33	and	and	CCONJ
ejpam-4319	21	34	a	a	DET
ejpam-4319	21	35	wrapping	wrapping	NOUN
ejpam-4319	21	36	paper	paper	NOUN
ejpam-4319	21	37	.	.	PUNCT
ejpam-4319	22	1	let	let	VERB
ejpam-4319	22	2	b′	b′	NOUN
ejpam-4319	22	3	1	1	NUM
ejpam-4319	22	4	,	,	PUNCT
ejpam-4319	22	5	b	b	NOUN
ejpam-4319	22	6	′	′	NOUN
ejpam-4319	22	7	2	2	NUM
ejpam-4319	22	8	,	,	PUNCT
ejpam-4319	22	9	b	b	NOUN
ejpam-4319	22	10	′	′	NOUN
ejpam-4319	22	11	3	3	NUM
ejpam-4319	22	12	and	and	CCONJ
ejpam-4319	22	13	b′	b′	NUM
ejpam-4319	22	14	4	4	NUM
ejpam-4319	22	15	be	be	AUX
ejpam-4319	22	16	interior	interior	ADJ
ejpam-4319	22	17	points	point	NOUN
ejpam-4319	22	18	of	of	ADP
ejpam-4319	22	19	a1a2a3a4	a1a2a3a4	PROPN
ejpam-4319	22	20	such	such	DET
ejpam-4319	22	21	that	that	DET
ejpam-4319	22	22	b′	b′	NUM
ejpam-4319	22	23	ib	ib	NOUN
ejpam-4319	22	24	′	′	NUM
ejpam-4319	22	25	j	j	PROPN
ejpam-4319	22	26	is	be	AUX
ejpam-4319	22	27	parallel	parallel	ADJ
ejpam-4319	22	28	to	to	PART
ejpam-4319	22	29	aiaj	aiaj	VERB
ejpam-4319	22	30	for	for	ADP
ejpam-4319	22	31	every	every	DET
ejpam-4319	22	32	i	i	PROPN
ejpam-4319	22	33	,	,	PUNCT
ejpam-4319	22	34	j	j	PROPN
ejpam-4319	22	35	,	,	PUNCT
ejpam-4319	22	36	where	where	SCONJ
ejpam-4319	22	37	aiaj	aiaj	PROPN
ejpam-4319	22	38	is	be	AUX
ejpam-4319	22	39	a	a	DET
ejpam-4319	22	40	perimeter	perimeter	NOUN
ejpam-4319	22	41	of	of	ADP
ejpam-4319	22	42	a1a2a3a4	a1a2a3a4	PROPN
ejpam-4319	22	43	.	.	PUNCT
ejpam-4319	23	1	in	in	ADP
ejpam-4319	23	2	addition	addition	NOUN
ejpam-4319	23	3	,	,	PUNCT
ejpam-4319	23	4	the	the	DET
ejpam-4319	23	5	intersection	intersection	NOUN
ejpam-4319	23	6	point	point	NOUN
ejpam-4319	23	7	of	of	ADP
ejpam-4319	23	8	b′	b′	NUM
ejpam-4319	23	9	1b	1b	NUM
ejpam-4319	23	10	′	′	NUM
ejpam-4319	23	11	3	3	NUM
ejpam-4319	23	12	and	and	CCONJ
ejpam-4319	23	13	b′	b′	NUM
ejpam-4319	23	14	2b	2b	NUM
ejpam-4319	23	15	′	′	NUM
ejpam-4319	23	16	4	4	NUM
ejpam-4319	23	17	and	and	CCONJ
ejpam-4319	23	18	the	the	DET
ejpam-4319	23	19	intersection	intersection	NOUN
ejpam-4319	23	20	point	point	NOUN
ejpam-4319	23	21	of	of	ADP
ejpam-4319	23	22	a1a3	a1a3	PUNCT
ejpam-4319	23	23	and	and	CCONJ
ejpam-4319	23	24	a2a4	a2a4	AUX
ejpam-4319	23	25	coincide	coincide	NOUN
ejpam-4319	23	26	(	(	PUNCT
ejpam-4319	23	27	see	see	VERB
ejpam-4319	23	28	figure	figure	NOUN
ejpam-4319	23	29	3	3	NUM
ejpam-4319	23	30	)	)	PUNCT
ejpam-4319	23	31	.	.	PUNCT
ejpam-4319	24	1	we	we	PRON
ejpam-4319	24	2	will	will	AUX
ejpam-4319	24	3	define	define	VERB
ejpam-4319	24	4	an	an	DET
ejpam-4319	24	5	origami	origami	NOUN
ejpam-4319	24	6	pattern	pattern	NOUN
ejpam-4319	24	7	of	of	ADP
ejpam-4319	24	8	a1a2a3a4	a1a2a3a4	PROPN
ejpam-4319	24	9	that	that	PRON
ejpam-4319	24	10	encapsulates	encapsulate	VERB
ejpam-4319	24	11	the	the	DET
ejpam-4319	24	12	prism	prism	NOUN
ejpam-4319	24	13	b1b2b3b4b5b6	b1b2b3b4b5b6	PRON
ejpam-4319	24	14	where	where	SCONJ
ejpam-4319	24	15	the	the	DET
ejpam-4319	24	16	points	point	NOUN
ejpam-4319	24	17	bi	bi	NOUN
ejpam-4319	24	18	and	and	CCONJ
ejpam-4319	24	19	b′	b′	NOUN
ejpam-4319	24	20	i	i	PRON
ejpam-4319	24	21	coincide	coincide	VERB
ejpam-4319	24	22	for	for	ADP
ejpam-4319	24	23	any	any	DET
ejpam-4319	24	24	i	i	NOUN
ejpam-4319	24	25	=	=	NOUN
ejpam-4319	24	26	1	1	NUM
ejpam-4319	24	27	,	,	PUNCT
ejpam-4319	24	28	2	2	NUM
ejpam-4319	24	29	,	,	PUNCT
ejpam-4319	24	30	3	3	NUM
ejpam-4319	24	31	,	,	PUNCT
ejpam-4319	24	32	4	4	NUM
ejpam-4319	24	33	.	.	X
ejpam-4319	24	34	step	step	NOUN
ejpam-4319	24	35	1	1	NUM
ejpam-4319	24	36	:	:	PUNCT
ejpam-4319	24	37	construct	construct	VERB
ejpam-4319	24	38	b′	b′	NUM
ejpam-4319	24	39	5	5	NUM
ejpam-4319	24	40	,	,	PUNCT
ejpam-4319	24	41	b	b	NOUN
ejpam-4319	24	42	′	′	NOUN
ejpam-4319	24	43	6	6	NUM
ejpam-4319	24	44	,	,	PUNCT
ejpam-4319	24	45	ci	ci	PROPN
ejpam-4319	24	46	and	and	CCONJ
ejpam-4319	24	47	c	c	PROPN
ejpam-4319	24	48	′	′	NUM
ejpam-4319	24	49	i.	i.	NOUN
ejpam-4319	25	1	the	the	DET
ejpam-4319	25	2	paper	paper	NOUN
ejpam-4319	25	3	is	be	AUX
ejpam-4319	25	4	folded	fold	VERB
ejpam-4319	25	5	upon	upon	SCONJ
ejpam-4319	25	6	the	the	DET
ejpam-4319	25	7	equilateral	equilateral	ADJ
ejpam-4319	25	8	triangle	triangle	NOUN
ejpam-4319	25	9	face	face	NOUN
ejpam-4319	25	10	of	of	ADP
ejpam-4319	25	11	a	a	DET
ejpam-4319	25	12	prism	prism	NOUN
ejpam-4319	25	13	along	along	ADP
ejpam-4319	25	14	b′	b′	NUM
ejpam-4319	25	15	3b	3b	NOUN
ejpam-4319	25	16	′	′	NOUN
ejpam-4319	25	17	4	4	NUM
ejpam-4319	25	18	and	and	CCONJ
ejpam-4319	25	19	b′	b′	NUM
ejpam-4319	25	20	1b	1b	NUM
ejpam-4319	25	21	′	′	NUM
ejpam-4319	26	1	2	2	X
ejpam-4319	26	2	.	.	PUNCT
ejpam-4319	26	3	let	let	VERB
ejpam-4319	26	4	b′	b′	NUM
ejpam-4319	26	5	5	5	NUM
ejpam-4319	26	6	and	and	CCONJ
ejpam-4319	26	7	b′	b′	NUM
ejpam-4319	26	8	6	6	NUM
ejpam-4319	26	9	be	be	AUX
ejpam-4319	26	10	the	the	DET
ejpam-4319	26	11	points	point	NOUN
ejpam-4319	26	12	on	on	ADP
ejpam-4319	26	13	the	the	DET
ejpam-4319	26	14	wrapping	wrapping	NOUN
ejpam-4319	26	15	paper	paper	NOUN
ejpam-4319	26	16	where	where	SCONJ
ejpam-4319	26	17	b′	b′	ADJ
ejpam-4319	26	18	5	5	NUM
ejpam-4319	26	19	and	and	CCONJ
ejpam-4319	26	20	b5	b5	PROPN
ejpam-4319	26	21	coincide	coincide	NOUN
ejpam-4319	26	22	and	and	CCONJ
ejpam-4319	26	23	where	where	SCONJ
ejpam-4319	26	24	b′	b′	NUM
ejpam-4319	26	25	6	6	NUM
ejpam-4319	26	26	and	and	CCONJ
ejpam-4319	26	27	b6	b6	NOUN
ejpam-4319	26	28	coincide	coincide	NOUN
ejpam-4319	26	29	,	,	PUNCT
ejpam-4319	26	30	see	see	VERB
ejpam-4319	26	31	figure	figure	NOUN
ejpam-4319	26	32	4	4	NUM
ejpam-4319	26	33	.	.	PUNCT
ejpam-4319	27	1	let	let	VERB
ejpam-4319	27	2	k	k	PRON
ejpam-4319	27	3	be	be	AUX
ejpam-4319	27	4	the	the	DET
ejpam-4319	27	5	length	length	NOUN
ejpam-4319	27	6	of	of	ADP
ejpam-4319	27	7	lateral	lateral	ADJ
ejpam-4319	27	8	edge	edge	NOUN
ejpam-4319	27	9	b1b4	b1b4	NOUN
ejpam-4319	27	10	,	,	PUNCT
ejpam-4319	27	11	l	l	NOUN
ejpam-4319	27	12	be	be	VERB
ejpam-4319	27	13	the	the	DET
ejpam-4319	27	14	length	length	NOUN
ejpam-4319	27	15	of	of	ADP
ejpam-4319	27	16	prism	prism	NOUN
ejpam-4319	27	17	edge	edge	NOUN
ejpam-4319	27	18	b1b6	b1b6	NOUN
ejpam-4319	27	19	,	,	PUNCT
ejpam-4319	27	20	k	k	X
ejpam-4319	27	21	be	be	VERB
ejpam-4319	27	22	the	the	DET
ejpam-4319	27	23	length	length	NOUN
ejpam-4319	27	24	of	of	ADP
ejpam-4319	27	25	paper	paper	NOUN
ejpam-4319	27	26	edge	edge	NOUN
ejpam-4319	27	27	a1a4	a1a4	PROPN
ejpam-4319	27	28	,	,	PUNCT
ejpam-4319	27	29	a.	a.	NOUN
ejpam-4319	27	30	wongpradit	wongpradit	NOUN
ejpam-4319	27	31	,	,	PUNCT
ejpam-4319	27	32	p.	p.	NOUN
ejpam-4319	27	33	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	27	34	/	/	SYM
ejpam-4319	27	35	eur	eur	PROPN
ejpam-4319	27	36	.	.	PUNCT
ejpam-4319	28	1	j.	j.	PROPN
ejpam-4319	28	2	pure	pure	PROPN
ejpam-4319	28	3	appl	appl	PROPN
ejpam-4319	28	4	.	.	PROPN
ejpam-4319	28	5	math	math	PROPN
ejpam-4319	28	6	,	,	PUNCT
ejpam-4319	28	7	15	15	NUM
ejpam-4319	28	8	(	(	PUNCT
ejpam-4319	28	9	2	2	NUM
ejpam-4319	28	10	)	)	PUNCT
ejpam-4319	28	11	(	(	PUNCT
ejpam-4319	28	12	2022	2022	NUM
ejpam-4319	28	13	)	)	PUNCT
ejpam-4319	28	14	,	,	PUNCT
ejpam-4319	28	15	375	375	NUM
ejpam-4319	28	16	-	-	SYM
ejpam-4319	28	17	389	389	NUM
ejpam-4319	28	18	377	377	NUM
ejpam-4319	28	19	figure	figure	NOUN
ejpam-4319	28	20	3	3	NUM
ejpam-4319	28	21	:	:	PUNCT
ejpam-4319	28	22	the	the	DET
ejpam-4319	28	23	positions	position	NOUN
ejpam-4319	28	24	that	that	PRON
ejpam-4319	28	25	create	create	VERB
ejpam-4319	28	26	the	the	DET
ejpam-4319	28	27	prism	prism	NOUN
ejpam-4319	28	28	on	on	ADP
ejpam-4319	28	29	the	the	DET
ejpam-4319	28	30	wrapping	wrapping	NOUN
ejpam-4319	28	31	paper	paper	NOUN
ejpam-4319	28	32	.	.	PUNCT
ejpam-4319	29	1	figure	figure	VERB
ejpam-4319	29	2	4	4	NUM
ejpam-4319	29	3	:	:	PUNCT
ejpam-4319	29	4	step	step	NOUN
ejpam-4319	29	5	1	1	NUM
ejpam-4319	29	6	.	.	PUNCT
ejpam-4319	30	1	l	l	NOUN
ejpam-4319	30	2	be	be	AUX
ejpam-4319	30	3	the	the	DET
ejpam-4319	30	4	length	length	NOUN
ejpam-4319	30	5	of	of	ADP
ejpam-4319	30	6	paper	paper	NOUN
ejpam-4319	30	7	edge	edge	NOUN
ejpam-4319	30	8	a1a2	a1a2	PROPN
ejpam-4319	30	9	,	,	PUNCT
ejpam-4319	30	10	s	s	AUX
ejpam-4319	30	11	be	be	AUX
ejpam-4319	30	12	the	the	DET
ejpam-4319	30	13	distance	distance	NOUN
ejpam-4319	30	14	between	between	ADP
ejpam-4319	30	15	the	the	DET
ejpam-4319	30	16	paper	paper	NOUN
ejpam-4319	30	17	edge	edge	NOUN
ejpam-4319	30	18	a1a2	a1a2	PUNCT
ejpam-4319	30	19	and	and	CCONJ
ejpam-4319	30	20	the	the	DET
ejpam-4319	30	21	point	point	NOUN
ejpam-4319	30	22	b′	b′	NUM
ejpam-4319	30	23	6	6	NUM
ejpam-4319	30	24	,	,	PUNCT
ejpam-4319	30	25	and	and	CCONJ
ejpam-4319	30	26	t	t	PROPN
ejpam-4319	30	27	be	be	AUX
ejpam-4319	30	28	the	the	DET
ejpam-4319	30	29	distance	distance	NOUN
ejpam-4319	30	30	between	between	ADP
ejpam-4319	30	31	the	the	DET
ejpam-4319	30	32	paper	paper	NOUN
ejpam-4319	30	33	edge	edge	NOUN
ejpam-4319	30	34	a1a4	a1a4	PROPN
ejpam-4319	30	35	and	and	CCONJ
ejpam-4319	30	36	the	the	DET
ejpam-4319	30	37	lateral	lateral	ADJ
ejpam-4319	30	38	edge	edge	NOUN
ejpam-4319	30	39	b1b4	b1b4	NOUN
ejpam-4319	30	40	.	.	NOUN
ejpam-4319	30	41	for	for	ADP
ejpam-4319	30	42	clarity	clarity	NOUN
ejpam-4319	30	43	,	,	PUNCT
ejpam-4319	30	44	see	see	VERB
ejpam-4319	30	45	figure	figure	NOUN
ejpam-4319	30	46	5	5	NUM
ejpam-4319	30	47	.	.	PUNCT
ejpam-4319	30	48	figure	figure	VERB
ejpam-4319	30	49	5	5	NUM
ejpam-4319	30	50	:	:	PUNCT
ejpam-4319	30	51	variable	variable	ADJ
ejpam-4319	30	52	positions	position	NOUN
ejpam-4319	30	53	.	.	PUNCT
ejpam-4319	31	1	from	from	ADP
ejpam-4319	31	2	the	the	DET
ejpam-4319	31	3	symmetrical	symmetrical	ADJ
ejpam-4319	31	4	wrapping	wrapping	NOUN
ejpam-4319	31	5	of	of	ADP
ejpam-4319	31	6	an	an	DET
ejpam-4319	31	7	equilateral	equilateral	ADJ
ejpam-4319	31	8	triangular	triangular	NOUN
ejpam-4319	31	9	prism	prism	NOUN
ejpam-4319	31	10	,	,	PUNCT
ejpam-4319	31	11	we	we	PRON
ejpam-4319	31	12	obtain	obtain	VERB
ejpam-4319	31	13	k	k	NOUN
ejpam-4319	31	14	=	=	PUNCT
ejpam-4319	31	15	|b1b4|	|b1b4|	NOUN
ejpam-4319	31	16	=	=	SYM
ejpam-4319	31	17	|b2b3|	|b2b3|	NOUN
ejpam-4319	31	18	and	and	CCONJ
ejpam-4319	31	19	l	l	NOUN
ejpam-4319	31	20	=	=	SYM
ejpam-4319	31	21	|b1b2|	|b1b2|	ADJ
ejpam-4319	31	22	=	=	SYM
ejpam-4319	31	23	|b3b4|	|b3b4|	NOUN
ejpam-4319	31	24	=	=	SYM
ejpam-4319	31	25	|b1b6|	|b1b6|	NOUN
ejpam-4319	31	26	=	=	PUNCT
ejpam-4319	31	27	|b2b6|	|b2b6|	NOUN
ejpam-4319	31	28	=	=	SYM
ejpam-4319	31	29	|b3b5|	|b3b5|	X
ejpam-4319	31	30	=	=	X
ejpam-4319	31	31	|b4b5|	|b4b5|	PROPN
ejpam-4319	31	32	.	.	PUNCT
ejpam-4319	32	1	from	from	ADP
ejpam-4319	32	2	the	the	DET
ejpam-4319	32	3	origami	origami	NOUN
ejpam-4319	32	4	pattern	pattern	NOUN
ejpam-4319	32	5	,	,	PUNCT
ejpam-4319	32	6	we	we	PRON
ejpam-4319	32	7	obtain	obtain	VERB
ejpam-4319	32	8	that	that	PRON
ejpam-4319	32	9	s	s	VERB
ejpam-4319	32	10	is	be	AUX
ejpam-4319	32	11	equal	equal	ADJ
ejpam-4319	32	12	to	to	ADP
ejpam-4319	32	13	the	the	DET
ejpam-4319	32	14	distance	distance	NOUN
ejpam-4319	32	15	between	between	ADP
ejpam-4319	32	16	the	the	DET
ejpam-4319	32	17	paper	paper	NOUN
ejpam-4319	32	18	edge	edge	NOUN
ejpam-4319	32	19	a3a4	a3a4	PROPN
ejpam-4319	32	20	and	and	CCONJ
ejpam-4319	32	21	the	the	DET
ejpam-4319	32	22	point	point	NOUN
ejpam-4319	32	23	b′	b′	NUM
ejpam-4319	32	24	5	5	NUM
ejpam-4319	32	25	and	and	CCONJ
ejpam-4319	32	26	t	t	PROPN
ejpam-4319	32	27	is	be	AUX
ejpam-4319	32	28	equal	equal	ADJ
ejpam-4319	32	29	to	to	ADP
ejpam-4319	32	30	the	the	DET
ejpam-4319	32	31	distance	distance	NOUN
ejpam-4319	32	32	between	between	ADP
ejpam-4319	32	33	the	the	DET
ejpam-4319	32	34	paper	paper	NOUN
ejpam-4319	32	35	edge	edge	NOUN
ejpam-4319	33	1	a2a3	a2a3	PROPN
ejpam-4319	33	2	and	and	CCONJ
ejpam-4319	33	3	a.	a.	NOUN
ejpam-4319	33	4	wongpradit	wongpradit	NOUN
ejpam-4319	33	5	,	,	PUNCT
ejpam-4319	33	6	p.	p.	NOUN
ejpam-4319	33	7	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	33	8	/	/	SYM
ejpam-4319	33	9	eur	eur	PROPN
ejpam-4319	33	10	.	.	PUNCT
ejpam-4319	34	1	j.	j.	PROPN
ejpam-4319	34	2	pure	pure	PROPN
ejpam-4319	34	3	appl	appl	PROPN
ejpam-4319	34	4	.	.	PROPN
ejpam-4319	34	5	math	math	PROPN
ejpam-4319	34	6	,	,	PUNCT
ejpam-4319	34	7	15	15	NUM
ejpam-4319	34	8	(	(	PUNCT
ejpam-4319	34	9	2	2	NUM
ejpam-4319	34	10	)	)	PUNCT
ejpam-4319	34	11	(	(	PUNCT
ejpam-4319	34	12	2022	2022	NUM
ejpam-4319	34	13	)	)	PUNCT
ejpam-4319	34	14	,	,	PUNCT
ejpam-4319	34	15	375	375	NUM
ejpam-4319	34	16	-	-	SYM
ejpam-4319	34	17	389	389	NUM
ejpam-4319	34	18	378	378	NUM
ejpam-4319	34	19	the	the	DET
ejpam-4319	34	20	lateral	lateral	ADJ
ejpam-4319	34	21	edge	edge	NOUN
ejpam-4319	34	22	b2b3	b2b3	NOUN
ejpam-4319	34	23	.	.	PUNCT
ejpam-4319	35	1	let	let	VERB
ejpam-4319	35	2	c1	c1	PROPN
ejpam-4319	35	3	be	be	AUX
ejpam-4319	35	4	a	a	DET
ejpam-4319	35	5	point	point	NOUN
ejpam-4319	35	6	on	on	ADP
ejpam-4319	35	7	the	the	DET
ejpam-4319	35	8	line	line	NOUN
ejpam-4319	35	9	b1b6	b1b6	NOUN
ejpam-4319	35	10	,	,	PUNCT
ejpam-4319	35	11	which	which	PRON
ejpam-4319	35	12	is	be	AUX
ejpam-4319	35	13	t	t	PROPN
ejpam-4319	35	14	units	unit	NOUN
ejpam-4319	35	15	away	away	ADV
ejpam-4319	35	16	from	from	ADP
ejpam-4319	35	17	b1	b1	NOUN
ejpam-4319	35	18	.	.	PUNCT
ejpam-4319	36	1	let	let	VERB
ejpam-4319	36	2	c2	c2	PROPN
ejpam-4319	36	3	be	be	AUX
ejpam-4319	36	4	on	on	ADP
ejpam-4319	36	5	line	line	NOUN
ejpam-4319	36	6	b2b6	b2b6	PROPN
ejpam-4319	36	7	,	,	PUNCT
ejpam-4319	36	8	t	t	PROPN
ejpam-4319	36	9	units	unit	NOUN
ejpam-4319	36	10	away	away	ADV
ejpam-4319	36	11	from	from	ADP
ejpam-4319	36	12	b2	b2	NOUN
ejpam-4319	36	13	.	.	PUNCT
ejpam-4319	37	1	points	point	NOUN
ejpam-4319	37	2	c3	c3	PROPN
ejpam-4319	37	3	and	and	CCONJ
ejpam-4319	37	4	c4	c4	NOUN
ejpam-4319	37	5	follow	follow	VERB
ejpam-4319	37	6	a	a	DET
ejpam-4319	37	7	similar	similar	ADJ
ejpam-4319	37	8	pattern	pattern	NOUN
ejpam-4319	37	9	.	.	PUNCT
ejpam-4319	38	1	in	in	ADP
ejpam-4319	38	2	addition	addition	NOUN
ejpam-4319	38	3	,	,	PUNCT
ejpam-4319	38	4	let	let	VERB
ejpam-4319	38	5	c	c	NOUN
ejpam-4319	38	6	′	′	VERB
ejpam-4319	39	1	i	i	PRON
ejpam-4319	39	2	be	be	VERB
ejpam-4319	39	3	the	the	DET
ejpam-4319	39	4	point	point	NOUN
ejpam-4319	39	5	on	on	ADP
ejpam-4319	39	6	the	the	DET
ejpam-4319	39	7	edge	edge	NOUN
ejpam-4319	39	8	of	of	ADP
ejpam-4319	39	9	paper	paper	NOUN
ejpam-4319	39	10	a1a2a3a4	a1a2a3a4	PROPN
ejpam-4319	39	11	,	,	PUNCT
ejpam-4319	39	12	where	where	SCONJ
ejpam-4319	39	13	we	we	PRON
ejpam-4319	39	14	fold	fold	VERB
ejpam-4319	39	15	c	c	NOUN
ejpam-4319	39	16	′	′	NUM
ejpam-4319	40	1	i	i	PRON
ejpam-4319	40	2	onto	onto	ADP
ejpam-4319	40	3	ci	ci	NOUN
ejpam-4319	40	4	along	along	ADP
ejpam-4319	40	5	lateral	lateral	ADJ
ejpam-4319	40	6	edges	edge	NOUN
ejpam-4319	40	7	for	for	ADP
ejpam-4319	40	8	each	each	DET
ejpam-4319	40	9	i	i	NOUN
ejpam-4319	40	10	=	=	NOUN
ejpam-4319	40	11	1	1	NUM
ejpam-4319	40	12	,	,	PUNCT
ejpam-4319	40	13	2	2	NUM
ejpam-4319	40	14	,	,	PUNCT
ejpam-4319	40	15	3	3	NUM
ejpam-4319	40	16	,	,	PUNCT
ejpam-4319	40	17	4	4	NUM
ejpam-4319	40	18	;	;	PUNCT
ejpam-4319	40	19	see	see	VERB
ejpam-4319	40	20	figure	figure	NOUN
ejpam-4319	40	21	6	6	NUM
ejpam-4319	40	22	.	.	PUNCT
ejpam-4319	41	1	figure	figure	VERB
ejpam-4319	41	2	6	6	NUM
ejpam-4319	41	3	:	:	PUNCT
ejpam-4319	41	4	position	position	NOUN
ejpam-4319	41	5	of	of	ADP
ejpam-4319	41	6	points	point	NOUN
ejpam-4319	41	7	ci	ci	NOUN
ejpam-4319	41	8	and	and	CCONJ
ejpam-4319	41	9	c′	c′	NOUN
ejpam-4319	41	10	i.	i.	NOUN
ejpam-4319	41	11	step	step	NOUN
ejpam-4319	41	12	2	2	NUM
ejpam-4319	41	13	:	:	PUNCT
ejpam-4319	41	14	construct	construct	VERB
ejpam-4319	41	15	c	c	NOUN
ejpam-4319	41	16	′′	′′	PROPN
ejpam-4319	41	17	i	i	PRON
ejpam-4319	41	18	.	.	PUNCT
ejpam-4319	42	1	fold	fold	VERB
ejpam-4319	42	2	the	the	DET
ejpam-4319	42	3	paper	paper	NOUN
ejpam-4319	42	4	upon	upon	SCONJ
ejpam-4319	42	5	the	the	DET
ejpam-4319	42	6	prism	prism	NOUN
ejpam-4319	42	7	along	along	ADP
ejpam-4319	42	8	the	the	DET
ejpam-4319	42	9	lines	line	NOUN
ejpam-4319	42	10	b′	b′	NUM
ejpam-4319	42	11	1b	1b	NUM
ejpam-4319	42	12	′	′	NUM
ejpam-4319	42	13	4	4	NUM
ejpam-4319	42	14	and	and	CCONJ
ejpam-4319	42	15	b′	b′	NUM
ejpam-4319	42	16	2b	2b	NUM
ejpam-4319	42	17	′	′	NUM
ejpam-4319	42	18	3	3	NUM
ejpam-4319	42	19	such	such	ADJ
ejpam-4319	42	20	that	that	SCONJ
ejpam-4319	42	21	each	each	DET
ejpam-4319	42	22	point	point	NOUN
ejpam-4319	42	23	c	c	NOUN
ejpam-4319	43	1	′	′	NOUN
ejpam-4319	44	1	i	i	PRON
ejpam-4319	44	2	on	on	ADP
ejpam-4319	44	3	paper	paper	NOUN
ejpam-4319	44	4	and	and	CCONJ
ejpam-4319	44	5	each	each	DET
ejpam-4319	44	6	point	point	NOUN
ejpam-4319	44	7	ci	ci	NOUN
ejpam-4319	44	8	on	on	ADP
ejpam-4319	44	9	the	the	DET
ejpam-4319	44	10	lateral	lateral	ADJ
ejpam-4319	44	11	face	face	NOUN
ejpam-4319	44	12	of	of	ADP
ejpam-4319	44	13	the	the	DET
ejpam-4319	44	14	prism	prism	NOUN
ejpam-4319	44	15	coincide	coincide	NOUN
ejpam-4319	44	16	,	,	PUNCT
ejpam-4319	44	17	as	as	SCONJ
ejpam-4319	44	18	shown	show	VERB
ejpam-4319	44	19	in	in	ADP
ejpam-4319	44	20	figure	figure	NOUN
ejpam-4319	44	21	7	7	NUM
ejpam-4319	44	22	.	.	PUNCT
ejpam-4319	44	23	figure	figure	VERB
ejpam-4319	44	24	7	7	NUM
ejpam-4319	44	25	:	:	PUNCT
ejpam-4319	44	26	step	step	NOUN
ejpam-4319	44	27	2	2	NUM
ejpam-4319	44	28	.	.	PUNCT
ejpam-4319	45	1	now	now	ADV
ejpam-4319	45	2	,	,	PUNCT
ejpam-4319	45	3	we	we	PRON
ejpam-4319	45	4	consider	consider	VERB
ejpam-4319	45	5	both	both	DET
ejpam-4319	45	6	equilateral	equilateral	ADJ
ejpam-4319	45	7	triangle	triangle	NOUN
ejpam-4319	45	8	faces	face	NOUN
ejpam-4319	45	9	.	.	PUNCT
ejpam-4319	46	1	the	the	DET
ejpam-4319	46	2	paper	paper	NOUN
ejpam-4319	46	3	is	be	AUX
ejpam-4319	46	4	folded	fold	VERB
ejpam-4319	46	5	upon	upon	SCONJ
ejpam-4319	46	6	the	the	DET
ejpam-4319	46	7	prism	prism	NOUN
ejpam-4319	46	8	along	along	ADP
ejpam-4319	46	9	the	the	DET
ejpam-4319	46	10	lines	line	NOUN
ejpam-4319	46	11	b′	b′	NUM
ejpam-4319	46	12	1b	1b	NUM
ejpam-4319	46	13	′	′	NUM
ejpam-4319	46	14	2	2	NUM
ejpam-4319	46	15	and	and	CCONJ
ejpam-4319	46	16	b′	b′	NUM
ejpam-4319	46	17	3b	3b	NOUN
ejpam-4319	46	18	′	′	NUM
ejpam-4319	46	19	4	4	X
ejpam-4319	46	20	.	.	PUNCT
ejpam-4319	47	1	let	let	VERB
ejpam-4319	47	2	c	c	X
ejpam-4319	47	3	′′	′′	PROPN
ejpam-4319	47	4	1	1	NUM
ejpam-4319	47	5	be	be	AUX
ejpam-4319	47	6	the	the	DET
ejpam-4319	47	7	point	point	NOUN
ejpam-4319	47	8	on	on	ADP
ejpam-4319	47	9	line	line	NOUN
ejpam-4319	47	10	b′	b′	NUM
ejpam-4319	47	11	1b	1b	NUM
ejpam-4319	47	12	′	′	NUM
ejpam-4319	47	13	6	6	NUM
ejpam-4319	47	14	that	that	DET
ejpam-4319	47	15	coincide	coincide	NOUN
ejpam-4319	47	16	with	with	ADP
ejpam-4319	47	17	c	c	NOUN
ejpam-4319	47	18	′′	′′	PROPN
ejpam-4319	47	19	1	1	NUM
ejpam-4319	47	20	and	and	CCONJ
ejpam-4319	47	21	c	c	NOUN
ejpam-4319	47	22	′	′	NUM
ejpam-4319	47	23	1	1	NUM
ejpam-4319	47	24	.	.	PUNCT
ejpam-4319	48	1	a	a	DET
ejpam-4319	48	2	similar	similar	ADJ
ejpam-4319	48	3	assumption	assumption	NOUN
ejpam-4319	48	4	is	be	AUX
ejpam-4319	48	5	made	make	VERB
ejpam-4319	48	6	for	for	ADP
ejpam-4319	48	7	points	point	NOUN
ejpam-4319	48	8	c	c	X
ejpam-4319	49	1	′′	′′	NOUN
ejpam-4319	49	2	2	2	NUM
ejpam-4319	49	3	,	,	PUNCT
ejpam-4319	49	4	c	c	X
ejpam-4319	49	5	′′	′′	PROPN
ejpam-4319	49	6	3	3	NUM
ejpam-4319	49	7	,	,	PUNCT
ejpam-4319	49	8	c	c	PROPN
ejpam-4319	49	9	′′	′′	PROPN
ejpam-4319	49	10	4	4	NUM
ejpam-4319	49	11	;	;	PUNCT
ejpam-4319	49	12	see	see	VERB
ejpam-4319	49	13	figure	figure	NOUN
ejpam-4319	49	14	8	8	NUM
ejpam-4319	49	15	.	.	PUNCT
ejpam-4319	50	1	step	step	NOUN
ejpam-4319	50	2	3	3	NUM
ejpam-4319	50	3	:	:	PUNCT
ejpam-4319	50	4	construct	construct	VERB
ejpam-4319	50	5	ei	ei	PROPN
ejpam-4319	50	6	,	,	PUNCT
ejpam-4319	50	7	e	e	NOUN
ejpam-4319	50	8	′	′	NUM
ejpam-4319	50	9	i	i	PRON
ejpam-4319	50	10	and	and	CCONJ
ejpam-4319	50	11	di	di	NOUN
ejpam-4319	50	12	.	.	PROPN
ejpam-4319	51	1	from	from	ADP
ejpam-4319	51	2	figure	figure	NOUN
ejpam-4319	51	3	8	8	NUM
ejpam-4319	51	4	,	,	PUNCT
ejpam-4319	51	5	let	let	VERB
ejpam-4319	51	6	the	the	DET
ejpam-4319	51	7	point	point	NOUN
ejpam-4319	51	8	e1	e1	PROPN
ejpam-4319	51	9	be	be	AUX
ejpam-4319	51	10	located	locate	VERB
ejpam-4319	51	11	on	on	ADP
ejpam-4319	51	12	the	the	DET
ejpam-4319	51	13	lateral	lateral	ADJ
ejpam-4319	51	14	face	face	NOUN
ejpam-4319	51	15	of	of	ADP
ejpam-4319	51	16	the	the	DET
ejpam-4319	51	17	prism	prism	NOUN
ejpam-4319	51	18	,	,	PUNCT
ejpam-4319	51	19	on	on	ADP
ejpam-4319	51	20	the	the	DET
ejpam-4319	51	21	line	line	NOUN
ejpam-4319	51	22	c1c4	c1c4	NOUN
ejpam-4319	51	23	at	at	ADP
ejpam-4319	51	24	√	√	NUM
ejpam-4319	51	25	3	3	NUM
ejpam-4319	51	26	t	t	NOUN
ejpam-4319	51	27	units	unit	NOUN
ejpam-4319	51	28	away	away	ADV
ejpam-4319	51	29	from	from	ADP
ejpam-4319	51	30	c1	c1	PROPN
ejpam-4319	51	31	.	.	PUNCT
ejpam-4319	52	1	a	a	DET
ejpam-4319	52	2	similar	similar	ADJ
ejpam-4319	52	3	assumption	assumption	NOUN
ejpam-4319	52	4	is	be	AUX
ejpam-4319	52	5	made	make	VERB
ejpam-4319	52	6	for	for	ADP
ejpam-4319	52	7	points	point	NOUN
ejpam-4319	52	8	e2	e2	PROPN
ejpam-4319	52	9	,	,	PUNCT
ejpam-4319	52	10	e3	e3	NOUN
ejpam-4319	52	11	,	,	PUNCT
ejpam-4319	52	12	e4	e4	PROPN
ejpam-4319	52	13	.	.	PUNCT
ejpam-4319	53	1	next	next	ADV
ejpam-4319	53	2	,	,	PUNCT
ejpam-4319	53	3	let	let	VERB
ejpam-4319	53	4	e′	e′	PROPN
ejpam-4319	53	5	1	1	NUM
ejpam-4319	53	6	be	be	AUX
ejpam-4319	53	7	the	the	DET
ejpam-4319	53	8	point	point	NOUN
ejpam-4319	53	9	on	on	ADP
ejpam-4319	53	10	the	the	DET
ejpam-4319	53	11	edge	edge	NOUN
ejpam-4319	53	12	of	of	ADP
ejpam-4319	53	13	the	the	DET
ejpam-4319	53	14	paper	paper	NOUN
ejpam-4319	53	15	a1c	a1c	PROPN
ejpam-4319	53	16	′	′	ADP
ejpam-4319	53	17	1	1	NUM
ejpam-4319	53	18	such	such	ADJ
ejpam-4319	53	19	that	that	SCONJ
ejpam-4319	53	20	the	the	DET
ejpam-4319	53	21	distance	distance	NOUN
ejpam-4319	53	22	between	between	ADP
ejpam-4319	53	23	e′	e′	PROPN
ejpam-4319	53	24	1	1	NUM
ejpam-4319	53	25	and	and	CCONJ
ejpam-4319	53	26	c	c	NOUN
ejpam-4319	53	27	′	′	NOUN
ejpam-4319	53	28	1	1	NUM
ejpam-4319	53	29	is	be	AUX
ejpam-4319	53	30	√	√	NUM
ejpam-4319	53	31	3	3	NUM
ejpam-4319	53	32	t	t	NOUN
ejpam-4319	53	33	units	unit	NOUN
ejpam-4319	53	34	.	.	PUNCT
ejpam-4319	54	1	a	a	DET
ejpam-4319	54	2	similar	similar	ADJ
ejpam-4319	54	3	assumption	assumption	NOUN
ejpam-4319	54	4	is	be	AUX
ejpam-4319	54	5	made	make	VERB
ejpam-4319	54	6	for	for	ADP
ejpam-4319	54	7	points	point	NOUN
ejpam-4319	54	8	e′	e′	PROPN
ejpam-4319	54	9	2	2	NUM
ejpam-4319	54	10	,	,	PUNCT
ejpam-4319	54	11	e	e	NOUN
ejpam-4319	54	12	′	′	NOUN
ejpam-4319	54	13	3	3	NUM
ejpam-4319	54	14	,	,	PUNCT
ejpam-4319	54	15	e	e	NOUN
ejpam-4319	54	16	′	′	NOUN
ejpam-4319	54	17	4	4	NUM
ejpam-4319	54	18	;	;	PUNCT
ejpam-4319	54	19	see	see	VERB
ejpam-4319	54	20	figure	figure	NOUN
ejpam-4319	54	21	9	9	NUM
ejpam-4319	54	22	.	.	PUNCT
ejpam-4319	55	1	next	next	ADV
ejpam-4319	55	2	,	,	PUNCT
ejpam-4319	55	3	from	from	ADP
ejpam-4319	55	4	figure	figure	NOUN
ejpam-4319	55	5	8	8	NUM
ejpam-4319	55	6	,	,	PUNCT
ejpam-4319	55	7	e′	e′	PUNCT
ejpam-4319	55	8	i	i	PRON
ejpam-4319	55	9	is	be	AUX
ejpam-4319	55	10	folded	fold	VERB
ejpam-4319	55	11	to	to	PART
ejpam-4319	55	12	ei	ei	VERB
ejpam-4319	56	1	so	so	SCONJ
ejpam-4319	56	2	that	that	SCONJ
ejpam-4319	56	3	b′	b′	NOUN
ejpam-4319	56	4	ic	ic	NOUN
ejpam-4319	56	5	′	′	NUM
ejpam-4319	57	1	i	i	PRON
ejpam-4319	57	2	is	be	AUX
ejpam-4319	57	3	creased	creased	ADJ
ejpam-4319	57	4	,	,	PUNCT
ejpam-4319	57	5	and	and	CCONJ
ejpam-4319	57	6	we	we	PRON
ejpam-4319	57	7	see	see	VERB
ejpam-4319	57	8	that	that	DET
ejpam-4319	57	9	ei	ei	NOUN
ejpam-4319	57	10	and	and	CCONJ
ejpam-4319	57	11	e′	e′	NOUN
ejpam-4319	57	12	i	i	PRON
ejpam-4319	57	13	coincide	coincide	VERB
ejpam-4319	57	14	for	for	ADP
ejpam-4319	57	15	any	any	DET
ejpam-4319	57	16	i	i	NOUN
ejpam-4319	57	17	=	=	NOUN
ejpam-4319	57	18	1	1	NUM
ejpam-4319	57	19	,	,	PUNCT
ejpam-4319	57	20	2	2	NUM
ejpam-4319	57	21	,	,	PUNCT
ejpam-4319	57	22	3	3	NUM
ejpam-4319	57	23	,	,	PUNCT
ejpam-4319	57	24	4	4	NUM
ejpam-4319	57	25	,	,	PUNCT
ejpam-4319	57	26	which	which	PRON
ejpam-4319	57	27	indicates	indicate	VERB
ejpam-4319	57	28	a	a	DET
ejpam-4319	57	29	completed	complete	VERB
ejpam-4319	57	30	folding	folding	NOUN
ejpam-4319	57	31	.	.	PUNCT
ejpam-4319	58	1	moreover	moreover	ADV
ejpam-4319	58	2	,	,	PUNCT
ejpam-4319	58	3	the	the	DET
ejpam-4319	58	4	intersection	intersection	NOUN
ejpam-4319	58	5	point	point	NOUN
ejpam-4319	58	6	of	of	ADP
ejpam-4319	58	7	the	the	DET
ejpam-4319	58	8	paper	paper	NOUN
ejpam-4319	58	9	edge	edge	NOUN
ejpam-4319	58	10	and	and	CCONJ
ejpam-4319	58	11	the	the	DET
ejpam-4319	58	12	lateral	lateral	ADJ
ejpam-4319	58	13	edge	edge	NOUN
ejpam-4319	58	14	b5b6	b5b6	PRON
ejpam-4319	58	15	is	be	AUX
ejpam-4319	58	16	called	call	VERB
ejpam-4319	58	17	point	point	NOUN
ejpam-4319	58	18	di	di	NOUN
ejpam-4319	58	19	,	,	PUNCT
ejpam-4319	58	20	where	where	SCONJ
ejpam-4319	58	21	a.	a.	NOUN
ejpam-4319	58	22	wongpradit	wongpradit	NOUN
ejpam-4319	58	23	,	,	PUNCT
ejpam-4319	58	24	p.	p.	NOUN
ejpam-4319	58	25	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	58	26	/	/	SYM
ejpam-4319	58	27	eur	eur	PROPN
ejpam-4319	58	28	.	.	PUNCT
ejpam-4319	59	1	j.	j.	PROPN
ejpam-4319	59	2	pure	pure	PROPN
ejpam-4319	59	3	appl	appl	PROPN
ejpam-4319	59	4	.	.	PROPN
ejpam-4319	59	5	math	math	PROPN
ejpam-4319	59	6	,	,	PUNCT
ejpam-4319	59	7	15	15	NUM
ejpam-4319	59	8	(	(	PUNCT
ejpam-4319	59	9	2	2	NUM
ejpam-4319	59	10	)	)	PUNCT
ejpam-4319	59	11	(	(	PUNCT
ejpam-4319	59	12	2022	2022	NUM
ejpam-4319	59	13	)	)	PUNCT
ejpam-4319	59	14	,	,	PUNCT
ejpam-4319	59	15	375	375	NUM
ejpam-4319	59	16	-	-	SYM
ejpam-4319	59	17	389	389	NUM
ejpam-4319	59	18	379	379	NUM
ejpam-4319	59	19	figure	figure	NOUN
ejpam-4319	59	20	8	8	NUM
ejpam-4319	59	21	:	:	PUNCT
ejpam-4319	59	22	position	position	NOUN
ejpam-4319	59	23	of	of	ADP
ejpam-4319	59	24	point	point	NOUN
ejpam-4319	59	25	c′′	c′′	NOUN
ejpam-4319	59	26	i	i	PRON
ejpam-4319	59	27	.	.	PUNCT
ejpam-4319	60	1	figure	figure	VERB
ejpam-4319	60	2	9	9	NUM
ejpam-4319	60	3	:	:	PUNCT
ejpam-4319	60	4	position	position	NOUN
ejpam-4319	60	5	of	of	ADP
ejpam-4319	60	6	points	point	NOUN
ejpam-4319	60	7	ei	ei	NOUN
ejpam-4319	60	8	and	and	CCONJ
ejpam-4319	60	9	e′	e′	PROPN
ejpam-4319	60	10	i.	i.	PROPN
ejpam-4319	60	11	di	di	PROPN
ejpam-4319	60	12	corresponds	correspond	VERB
ejpam-4319	60	13	to	to	ADP
ejpam-4319	60	14	the	the	DET
ejpam-4319	60	15	point	point	NOUN
ejpam-4319	60	16	ai	ai	VERB
ejpam-4319	60	17	for	for	ADP
ejpam-4319	60	18	each	each	DET
ejpam-4319	60	19	i	i	NOUN
ejpam-4319	60	20	=	=	NOUN
ejpam-4319	60	21	1	1	NUM
ejpam-4319	60	22	,	,	PUNCT
ejpam-4319	60	23	2	2	NUM
ejpam-4319	60	24	,	,	PUNCT
ejpam-4319	60	25	3	3	NUM
ejpam-4319	60	26	,	,	PUNCT
ejpam-4319	60	27	4	4	NUM
ejpam-4319	60	28	,	,	PUNCT
ejpam-4319	60	29	as	as	SCONJ
ejpam-4319	60	30	shown	show	VERB
ejpam-4319	60	31	in	in	ADP
ejpam-4319	60	32	figure	figure	NOUN
ejpam-4319	60	33	10	10	NUM
ejpam-4319	60	34	.	.	PUNCT
ejpam-4319	61	1	figure	figure	NOUN
ejpam-4319	61	2	10	10	NUM
ejpam-4319	61	3	:	:	PUNCT
ejpam-4319	61	4	completed	complete	VERB
ejpam-4319	61	5	folding	folding	NOUN
ejpam-4319	61	6	.	.	PUNCT
ejpam-4319	62	1	by	by	ADP
ejpam-4319	62	2	observing	observe	VERB
ejpam-4319	62	3	figure	figure	NOUN
ejpam-4319	62	4	10	10	NUM
ejpam-4319	62	5	,	,	PUNCT
ejpam-4319	62	6	which	which	PRON
ejpam-4319	62	7	shows	show	VERB
ejpam-4319	62	8	a	a	DET
ejpam-4319	62	9	completed	complete	VERB
ejpam-4319	62	10	folding	folding	NOUN
ejpam-4319	62	11	,	,	PUNCT
ejpam-4319	62	12	we	we	PRON
ejpam-4319	62	13	can	can	AUX
ejpam-4319	62	14	see	see	VERB
ejpam-4319	62	15	that	that	SCONJ
ejpam-4319	62	16	the	the	DET
ejpam-4319	62	17	format	format	NOUN
ejpam-4319	62	18	of	of	ADP
ejpam-4319	62	19	the	the	DET
ejpam-4319	62	20	results	result	NOUN
ejpam-4319	62	21	obtained	obtain	VERB
ejpam-4319	62	22	by	by	ADP
ejpam-4319	62	23	wrapping	wrap	VERB
ejpam-4319	62	24	according	accord	VERB
ejpam-4319	62	25	to	to	ADP
ejpam-4319	62	26	the	the	DET
ejpam-4319	62	27	above	above	ADJ
ejpam-4319	62	28	procedure	procedure	NOUN
ejpam-4319	62	29	will	will	AUX
ejpam-4319	62	30	differ	differ	VERB
ejpam-4319	62	31	depending	depend	VERB
ejpam-4319	62	32	on	on	ADP
ejpam-4319	62	33	the	the	DET
ejpam-4319	62	34	size	size	NOUN
ejpam-4319	62	35	of	of	ADP
ejpam-4319	62	36	the	the	DET
ejpam-4319	62	37	inner	inner	ADJ
ejpam-4319	62	38	prism	prism	NOUN
ejpam-4319	62	39	and	and	CCONJ
ejpam-4319	62	40	the	the	DET
ejpam-4319	62	41	size	size	NOUN
ejpam-4319	62	42	of	of	ADP
ejpam-4319	62	43	the	the	DET
ejpam-4319	62	44	wrapper	wrapper	NOUN
ejpam-4319	62	45	.	.	PUNCT
ejpam-4319	63	1	examples	example	NOUN
ejpam-4319	63	2	of	of	ADP
ejpam-4319	63	3	results	result	NOUN
ejpam-4319	63	4	obtained	obtain	VERB
ejpam-4319	63	5	from	from	ADP
ejpam-4319	63	6	wrapping	wrap	VERB
ejpam-4319	63	7	different	different	ADJ
ejpam-4319	63	8	sizes	size	NOUN
ejpam-4319	63	9	are	be	AUX
ejpam-4319	63	10	shown	show	VERB
ejpam-4319	63	11	in	in	ADP
ejpam-4319	63	12	table	table	NOUN
ejpam-4319	63	13	1	1	NUM
ejpam-4319	63	14	.	.	PUNCT
ejpam-4319	64	1	for	for	ADP
ejpam-4319	64	2	the	the	DET
ejpam-4319	64	3	next	next	ADJ
ejpam-4319	64	4	section	section	NOUN
ejpam-4319	64	5	,	,	PUNCT
ejpam-4319	64	6	we	we	PRON
ejpam-4319	64	7	will	will	AUX
ejpam-4319	64	8	consider	consider	VERB
ejpam-4319	64	9	a	a	DET
ejpam-4319	64	10	wrapping	wrapping	NOUN
ejpam-4319	64	11	pattern	pattern	NOUN
ejpam-4319	64	12	that	that	PRON
ejpam-4319	64	13	does	do	AUX
ejpam-4319	64	14	not	not	PART
ejpam-4319	64	15	contain	contain	VERB
ejpam-4319	64	16	a	a	DET
ejpam-4319	64	17	gap	gap	NOUN
ejpam-4319	64	18	between	between	ADP
ejpam-4319	64	19	the	the	DET
ejpam-4319	64	20	inner	inner	ADJ
ejpam-4319	64	21	prism	prism	NOUN
ejpam-4319	64	22	and	and	CCONJ
ejpam-4319	64	23	the	the	DET
ejpam-4319	64	24	wrapping	wrapping	NOUN
ejpam-4319	64	25	paper	paper	NOUN
ejpam-4319	64	26	and	and	CCONJ
ejpam-4319	64	27	find	find	VERB
ejpam-4319	64	28	the	the	DET
ejpam-4319	64	29	minimum	minimum	ADJ
ejpam-4319	64	30	area	area	NOUN
ejpam-4319	64	31	of	of	ADP
ejpam-4319	64	32	a	a	DET
ejpam-4319	64	33	rectangular	rectangular	ADJ
ejpam-4319	64	34	wrapping	wrapping	NOUN
ejpam-4319	64	35	paper	paper	NOUN
ejpam-4319	64	36	,	,	PUNCT
ejpam-4319	64	37	that	that	ADV
ejpam-4319	64	38	is	is	ADV
ejpam-4319	64	39	,	,	PUNCT
ejpam-4319	64	40	find	find	VERB
ejpam-4319	64	41	the	the	DET
ejpam-4319	64	42	value	value	NOUN
ejpam-4319	64	43	of	of	ADP
ejpam-4319	64	44	k	k	PROPN
ejpam-4319	64	45	×	×	PROPN
ejpam-4319	64	46	l	l	NOUN
ejpam-4319	64	47	in	in	ADP
ejpam-4319	64	48	terms	term	NOUN
ejpam-4319	64	49	of	of	ADP
ejpam-4319	64	50	k	k	PROPN
ejpam-4319	64	51	and	and	CCONJ
ejpam-4319	64	52	l.	l.	PROPN
ejpam-4319	64	53	a.	a.	PROPN
ejpam-4319	64	54	wongpradit	wongpradit	PROPN
ejpam-4319	64	55	,	,	PUNCT
ejpam-4319	64	56	p.	p.	NOUN
ejpam-4319	64	57	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	64	58	/	/	SYM
ejpam-4319	64	59	eur	eur	PROPN
ejpam-4319	64	60	.	.	PUNCT
ejpam-4319	65	1	j.	j.	PROPN
ejpam-4319	65	2	pure	pure	PROPN
ejpam-4319	65	3	appl	appl	PROPN
ejpam-4319	65	4	.	.	PROPN
ejpam-4319	65	5	math	math	PROPN
ejpam-4319	65	6	,	,	PUNCT
ejpam-4319	65	7	15	15	NUM
ejpam-4319	65	8	(	(	PUNCT
ejpam-4319	65	9	2	2	NUM
ejpam-4319	65	10	)	)	PUNCT
ejpam-4319	65	11	(	(	PUNCT
ejpam-4319	65	12	2022	2022	NUM
ejpam-4319	65	13	)	)	PUNCT
ejpam-4319	65	14	,	,	PUNCT
ejpam-4319	65	15	375	375	NUM
ejpam-4319	65	16	-	-	SYM
ejpam-4319	65	17	389	389	NUM
ejpam-4319	65	18	380	380	NUM
ejpam-4319	65	19	table	table	NOUN
ejpam-4319	65	20	1	1	NUM
ejpam-4319	65	21	:	:	PUNCT
ejpam-4319	65	22	results	result	NOUN
ejpam-4319	65	23	obtained	obtain	VERB
ejpam-4319	65	24	from	from	ADP
ejpam-4319	65	25	wrapping	wrap	VERB
ejpam-4319	65	26	different	different	ADJ
ejpam-4319	65	27	sizes	size	NOUN
ejpam-4319	65	28	.	.	PUNCT
ejpam-4319	66	1	case	case	NOUN
ejpam-4319	66	2	k	k	PROPN
ejpam-4319	66	3	l	l	PUNCT
ejpam-4319	66	4	k	k	X
ejpam-4319	66	5	l	l	NOUN
ejpam-4319	66	6	result	result	VERB
ejpam-4319	66	7	1	1	NUM
ejpam-4319	66	8	13.9	13.9	NUM
ejpam-4319	66	9	6.5	6.5	NUM
ejpam-4319	66	10	√	√	NUM
ejpam-4319	66	11	3(3.5	3(3.5	NUM
ejpam-4319	66	12	)	)	PUNCT
ejpam-4319	66	13	3.5	3.5	NUM
ejpam-4319	66	14	2	2	NUM
ejpam-4319	66	15	13.95	13.95	NUM
ejpam-4319	66	16	7.5	7.5	NUM
ejpam-4319	66	17	7	7	NUM
ejpam-4319	66	18	3.5	3.5	NUM
ejpam-4319	66	19	3	3	NUM
ejpam-4319	66	20	21.12	21.12	NUM
ejpam-4319	66	21	10.5	10.5	NUM
ejpam-4319	66	22	10	10	NUM
ejpam-4319	66	23	3.5	3.5	NUM
ejpam-4319	66	24	4	4	NUM
ejpam-4319	66	25	21.06	21.06	NUM
ejpam-4319	66	26	8.5	8.5	NUM
ejpam-4319	66	27	7	7	NUM
ejpam-4319	66	28	3.5	3.5	NUM
ejpam-4319	66	29	5	5	NUM
ejpam-4319	66	30	15.6	15.6	NUM
ejpam-4319	66	31	10.5	10.5	NUM
ejpam-4319	66	32	3.5	3.5	NUM
ejpam-4319	66	33	3.5	3.5	NUM
ejpam-4319	66	34	6	6	NUM
ejpam-4319	66	35	22	22	NUM
ejpam-4319	66	36	6.5	6.5	NUM
ejpam-4319	66	37	10	10	NUM
ejpam-4319	66	38	3.5	3.5	NUM
ejpam-4319	66	39	7	7	NUM
ejpam-4319	66	40	16.06	16.06	NUM
ejpam-4319	66	41	10.5	10.5	NUM
ejpam-4319	66	42	10	10	NUM
ejpam-4319	66	43	3.5	3.5	NUM
ejpam-4319	66	44	8	8	NUM
ejpam-4319	66	45	21.24	21.24	NUM
ejpam-4319	66	46	10.5	10.5	NUM
ejpam-4319	66	47	10	10	NUM
ejpam-4319	66	48	3.5	3.5	NUM
ejpam-4319	66	49	a.	a.	NOUN
ejpam-4319	66	50	wongpradit	wongpradit	NOUN
ejpam-4319	66	51	,	,	PUNCT
ejpam-4319	66	52	p.	p.	NOUN
ejpam-4319	66	53	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	66	54	/	/	SYM
ejpam-4319	66	55	eur	eur	PROPN
ejpam-4319	66	56	.	.	PUNCT
ejpam-4319	67	1	j.	j.	PROPN
ejpam-4319	67	2	pure	pure	PROPN
ejpam-4319	67	3	appl	appl	PROPN
ejpam-4319	67	4	.	.	PROPN
ejpam-4319	67	5	math	math	PROPN
ejpam-4319	67	6	,	,	PUNCT
ejpam-4319	67	7	15	15	NUM
ejpam-4319	67	8	(	(	PUNCT
ejpam-4319	67	9	2	2	NUM
ejpam-4319	67	10	)	)	PUNCT
ejpam-4319	67	11	(	(	PUNCT
ejpam-4319	67	12	2022	2022	NUM
ejpam-4319	67	13	)	)	PUNCT
ejpam-4319	67	14	,	,	PUNCT
ejpam-4319	67	15	375	375	NUM
ejpam-4319	67	16	-	-	SYM
ejpam-4319	67	17	389	389	NUM
ejpam-4319	67	18	381	381	NUM
ejpam-4319	67	19	3	3	NUM
ejpam-4319	67	20	.	.	PUNCT
ejpam-4319	68	1	encased	encased	ADJ
ejpam-4319	68	2	wrapping	wrap	VERB
ejpam-4319	68	3	an	an	DET
ejpam-4319	68	4	encased	encased	ADJ
ejpam-4319	68	5	wrapping	wrapping	NOUN
ejpam-4319	68	6	is	be	AUX
ejpam-4319	68	7	a	a	DET
ejpam-4319	68	8	gapless	gapless	NOUN
ejpam-4319	68	9	wrapping	wrapping	NOUN
ejpam-4319	68	10	that	that	PRON
ejpam-4319	68	11	makes	make	VERB
ejpam-4319	68	12	the	the	DET
ejpam-4319	68	13	contours	contours	NOUN
ejpam-4319	68	14	inside	inside	ADP
ejpam-4319	68	15	invisible	invisible	ADJ
ejpam-4319	68	16	,	,	PUNCT
ejpam-4319	68	17	that	that	ADV
ejpam-4319	68	18	is	is	ADV
ejpam-4319	68	19	,	,	PUNCT
ejpam-4319	68	20	all	all	DET
ejpam-4319	68	21	results	result	NOUN
ejpam-4319	68	22	of	of	ADP
ejpam-4319	68	23	folding	fold	VERB
ejpam-4319	68	24	the	the	DET
ejpam-4319	68	25	paper	paper	NOUN
ejpam-4319	68	26	for	for	ADP
ejpam-4319	68	27	wrapping	wrapping	NOUN
ejpam-4319	68	28	that	that	PRON
ejpam-4319	68	29	can	can	AUX
ejpam-4319	68	30	completely	completely	ADV
ejpam-4319	68	31	encapsulate	encapsulate	VERB
ejpam-4319	68	32	the	the	DET
ejpam-4319	68	33	prism	prism	NOUN
ejpam-4319	68	34	.	.	PUNCT
ejpam-4319	69	1	the	the	DET
ejpam-4319	69	2	above	above	ADJ
ejpam-4319	69	3	definition	definition	NOUN
ejpam-4319	69	4	of	of	ADP
ejpam-4319	69	5	wrapping	wrapping	NOUN
ejpam-4319	69	6	is	be	AUX
ejpam-4319	69	7	used	use	VERB
ejpam-4319	69	8	to	to	PART
ejpam-4319	69	9	describe	describe	VERB
ejpam-4319	69	10	a	a	DET
ejpam-4319	69	11	wrapping	wrapping	NOUN
ejpam-4319	69	12	that	that	PRON
ejpam-4319	69	13	can	can	AUX
ejpam-4319	69	14	completely	completely	ADV
ejpam-4319	69	15	encapsulate	encapsulate	VERB
ejpam-4319	69	16	the	the	DET
ejpam-4319	69	17	prism	prism	NOUN
ejpam-4319	69	18	.	.	PUNCT
ejpam-4319	70	1	however	however	ADV
ejpam-4319	70	2	,	,	PUNCT
ejpam-4319	70	3	it	it	PRON
ejpam-4319	70	4	still	still	ADV
ejpam-4319	70	5	can	can	AUX
ejpam-4319	70	6	not	not	PART
ejpam-4319	70	7	represent	represent	VERB
ejpam-4319	70	8	a	a	DET
ejpam-4319	70	9	practical	practical	ADJ
ejpam-4319	70	10	wrapping	wrapping	NOUN
ejpam-4319	70	11	style	style	NOUN
ejpam-4319	70	12	due	due	ADP
ejpam-4319	70	13	to	to	ADP
ejpam-4319	70	14	its	its	PRON
ejpam-4319	70	15	pattern	pattern	NOUN
ejpam-4319	70	16	.	.	PUNCT
ejpam-4319	71	1	in	in	ADP
ejpam-4319	71	2	some	some	DET
ejpam-4319	71	3	theoretical	theoretical	ADJ
ejpam-4319	71	4	cover	cover	NOUN
ejpam-4319	71	5	patterns	pattern	NOUN
ejpam-4319	71	6	,	,	PUNCT
ejpam-4319	71	7	when	when	SCONJ
ejpam-4319	71	8	used	use	VERB
ejpam-4319	71	9	as	as	ADP
ejpam-4319	71	10	a	a	DET
ejpam-4319	71	11	prototype	prototype	NOUN
ejpam-4319	71	12	of	of	ADP
ejpam-4319	71	13	the	the	DET
ejpam-4319	71	14	actual	actual	ADJ
ejpam-4319	71	15	wrapping	wrapping	NOUN
ejpam-4319	71	16	,	,	PUNCT
ejpam-4319	71	17	it	it	PRON
ejpam-4319	71	18	was	be	AUX
ejpam-4319	71	19	found	find	VERB
ejpam-4319	71	20	that	that	SCONJ
ejpam-4319	71	21	there	there	PRON
ejpam-4319	71	22	is	be	VERB
ejpam-4319	71	23	not	not	PART
ejpam-4319	71	24	enough	enough	ADJ
ejpam-4319	71	25	cover	cover	NOUN
ejpam-4319	71	26	paper	paper	NOUN
ejpam-4319	71	27	to	to	PART
ejpam-4319	71	28	move	move	VERB
ejpam-4319	71	29	the	the	DET
ejpam-4319	71	30	position	position	NOUN
ejpam-4319	71	31	of	of	ADP
ejpam-4319	71	32	the	the	DET
ejpam-4319	71	33	package	package	NOUN
ejpam-4319	71	34	at	at	ADV
ejpam-4319	71	35	all	all	ADV
ejpam-4319	71	36	because	because	SCONJ
ejpam-4319	71	37	the	the	DET
ejpam-4319	71	38	inner	inner	ADJ
ejpam-4319	71	39	object	object	NOUN
ejpam-4319	71	40	and	and	CCONJ
ejpam-4319	71	41	the	the	DET
ejpam-4319	71	42	wrapping	wrapping	NOUN
ejpam-4319	71	43	paper	paper	NOUN
ejpam-4319	71	44	are	be	AUX
ejpam-4319	71	45	not	not	PART
ejpam-4319	71	46	held	hold	VERB
ejpam-4319	71	47	together	together	ADV
ejpam-4319	71	48	by	by	ADP
ejpam-4319	71	49	any	any	DET
ejpam-4319	71	50	force	force	NOUN
ejpam-4319	71	51	as	as	SCONJ
ejpam-4319	71	52	shown	show	VERB
ejpam-4319	71	53	in	in	ADP
ejpam-4319	71	54	figure	figure	NOUN
ejpam-4319	71	55	11	11	NUM
ejpam-4319	71	56	.	.	PUNCT
ejpam-4319	72	1	hence	hence	ADV
ejpam-4319	72	2	,	,	PUNCT
ejpam-4319	72	3	we	we	PRON
ejpam-4319	72	4	need	need	VERB
ejpam-4319	72	5	to	to	PART
ejpam-4319	72	6	consider	consider	VERB
ejpam-4319	72	7	a	a	DET
ejpam-4319	72	8	wrapping	wrapping	NOUN
ejpam-4319	72	9	pattern	pattern	NOUN
ejpam-4319	72	10	that	that	PRON
ejpam-4319	72	11	has	have	VERB
ejpam-4319	72	12	enough	enough	ADJ
ejpam-4319	72	13	overlap	overlap	NOUN
ejpam-4319	72	14	for	for	ADP
ejpam-4319	72	15	the	the	DET
ejpam-4319	72	16	purpose	purpose	NOUN
ejpam-4319	72	17	of	of	ADP
ejpam-4319	72	18	package	package	NOUN
ejpam-4319	72	19	wrapping	wrapping	NOUN
ejpam-4319	72	20	,	,	PUNCT
ejpam-4319	72	21	as	as	SCONJ
ejpam-4319	72	22	shown	show	VERB
ejpam-4319	72	23	in	in	ADP
ejpam-4319	72	24	figure	figure	NOUN
ejpam-4319	72	25	12	12	NUM
ejpam-4319	72	26	.	.	PUNCT
ejpam-4319	73	1	figure	figure	VERB
ejpam-4319	73	2	11	11	NUM
ejpam-4319	73	3	:	:	PUNCT
ejpam-4319	73	4	wrapping	wrap	VERB
ejpam-4319	73	5	that	that	PRON
ejpam-4319	73	6	is	be	AUX
ejpam-4319	73	7	not	not	PART
ejpam-4319	73	8	practical	practical	ADJ
ejpam-4319	73	9	as	as	ADP
ejpam-4319	73	10	packaging	packaging	NOUN
ejpam-4319	73	11	.	.	PUNCT
ejpam-4319	74	1	figure	figure	NOUN
ejpam-4319	74	2	12	12	NUM
ejpam-4319	74	3	:	:	PUNCT
ejpam-4319	74	4	wrapping	wrapping	NOUN
ejpam-4319	74	5	that	that	PRON
ejpam-4319	74	6	can	can	AUX
ejpam-4319	74	7	be	be	AUX
ejpam-4319	74	8	used	use	VERB
ejpam-4319	74	9	as	as	ADP
ejpam-4319	74	10	packaging	packaging	NOUN
ejpam-4319	74	11	.	.	PUNCT
ejpam-4319	75	1	therefore	therefore	ADV
ejpam-4319	75	2	,	,	PUNCT
ejpam-4319	75	3	we	we	PRON
ejpam-4319	75	4	develop	develop	VERB
ejpam-4319	75	5	terms	term	NOUN
ejpam-4319	75	6	of	of	ADP
ejpam-4319	75	7	coverage	coverage	NOUN
ejpam-4319	75	8	that	that	PRON
ejpam-4319	75	9	are	be	AUX
ejpam-4319	75	10	practical	practical	ADJ
ejpam-4319	75	11	as	as	ADP
ejpam-4319	75	12	packaging	packaging	NOUN
ejpam-4319	75	13	.	.	PUNCT
ejpam-4319	76	1	we	we	PRON
ejpam-4319	76	2	will	will	AUX
ejpam-4319	76	3	begin	begin	VERB
ejpam-4319	76	4	by	by	ADP
ejpam-4319	76	5	considering	consider	VERB
ejpam-4319	76	6	the	the	DET
ejpam-4319	76	7	boundary	boundary	NOUN
ejpam-4319	76	8	of	of	ADP
ejpam-4319	76	9	the	the	DET
ejpam-4319	76	10	paper	paper	NOUN
ejpam-4319	76	11	relative	relative	ADJ
ejpam-4319	76	12	to	to	ADP
ejpam-4319	76	13	the	the	DET
ejpam-4319	76	14	size	size	NOUN
ejpam-4319	76	15	of	of	ADP
ejpam-4319	76	16	an	an	DET
ejpam-4319	76	17	equilateral	equilateral	ADJ
ejpam-4319	76	18	cross	cross	ADJ
ejpam-4319	76	19	-	-	ADJ
ejpam-4319	76	20	section	section	ADJ
ejpam-4319	76	21	prism	prism	NOUN
ejpam-4319	76	22	.	.	PUNCT
ejpam-4319	77	1	we	we	PRON
ejpam-4319	77	2	begin	begin	VERB
ejpam-4319	77	3	from	from	ADP
ejpam-4319	77	4	the	the	DET
ejpam-4319	77	5	smallest	small	ADJ
ejpam-4319	77	6	size	size	NOUN
ejpam-4319	77	7	of	of	ADP
ejpam-4319	77	8	paper	paper	NOUN
ejpam-4319	77	9	in	in	ADP
ejpam-4319	77	10	which	which	PRON
ejpam-4319	77	11	the	the	DET
ejpam-4319	77	12	wrap	wrap	NOUN
ejpam-4319	77	13	will	will	AUX
ejpam-4319	77	14	occur	occur	VERB
ejpam-4319	77	15	.	.	PUNCT
ejpam-4319	78	1	from	from	ADP
ejpam-4319	78	2	the	the	DET
ejpam-4319	78	3	tall	tall	ADJ
ejpam-4319	78	4	wrapping	wrapping	NOUN
ejpam-4319	78	5	described	describe	VERB
ejpam-4319	78	6	in	in	ADP
ejpam-4319	78	7	section	section	NOUN
ejpam-4319	78	8	2	2	NUM
ejpam-4319	78	9	,	,	PUNCT
ejpam-4319	78	10	the	the	DET
ejpam-4319	78	11	tall	tall	ADJ
ejpam-4319	78	12	,	,	PUNCT
ejpam-4319	78	13	encased	encased	ADJ
ejpam-4319	78	14	wrapping	wrapping	NOUN
ejpam-4319	78	15	by	by	ADP
ejpam-4319	78	16	rectangular	rectangular	ADJ
ejpam-4319	78	17	paper	paper	NOUN
ejpam-4319	78	18	in	in	ADP
ejpam-4319	78	19	tall	tall	ADJ
ejpam-4319	78	20	wrapping	wrapping	NOUN
ejpam-4319	78	21	is	be	AUX
ejpam-4319	78	22	achieved	achieve	VERB
ejpam-4319	78	23	by	by	ADP
ejpam-4319	78	24	increasing	increase	VERB
ejpam-4319	78	25	the	the	DET
ejpam-4319	78	26	paper	paper	NOUN
ejpam-4319	78	27	size	size	NOUN
ejpam-4319	78	28	from	from	ADP
ejpam-4319	78	29	the	the	DET
ejpam-4319	78	30	projection	projection	NOUN
ejpam-4319	78	31	of	of	ADP
ejpam-4319	78	32	an	an	DET
ejpam-4319	78	33	equilateral	equilateral	ADJ
ejpam-4319	78	34	cross	cross	ADJ
ejpam-4319	78	35	-	-	ADJ
ejpam-4319	78	36	section	section	ADJ
ejpam-4319	78	37	prism	prism	NOUN
ejpam-4319	78	38	shape	shape	NOUN
ejpam-4319	78	39	,	,	PUNCT
ejpam-4319	78	40	as	as	SCONJ
ejpam-4319	78	41	shown	show	VERB
ejpam-4319	78	42	in	in	ADP
ejpam-4319	78	43	figure	figure	NOUN
ejpam-4319	78	44	13	13	NUM
ejpam-4319	78	45	.	.	PUNCT
ejpam-4319	79	1	the	the	DET
ejpam-4319	79	2	distance	distance	NOUN
ejpam-4319	79	3	beyond	beyond	ADP
ejpam-4319	79	4	the	the	DET
ejpam-4319	79	5	projection	projection	NOUN
ejpam-4319	79	6	of	of	ADP
ejpam-4319	79	7	the	the	DET
ejpam-4319	79	8	prism	prism	NOUN
ejpam-4319	79	9	is	be	AUX
ejpam-4319	79	10	called	call	VERB
ejpam-4319	79	11	the	the	DET
ejpam-4319	79	12	distance	distance	NOUN
ejpam-4319	79	13	between	between	ADP
ejpam-4319	79	14	the	the	DET
ejpam-4319	79	15	edges	edge	NOUN
ejpam-4319	79	16	of	of	ADP
ejpam-4319	79	17	the	the	DET
ejpam-4319	79	18	paper	paper	NOUN
ejpam-4319	79	19	a1a2	a1a2	ADP
ejpam-4319	79	20	and	and	CCONJ
ejpam-4319	79	21	a.	a.	NOUN
ejpam-4319	79	22	wongpradit	wongpradit	NOUN
ejpam-4319	79	23	,	,	PUNCT
ejpam-4319	79	24	p.	p.	NOUN
ejpam-4319	79	25	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	79	26	/	/	SYM
ejpam-4319	79	27	eur	eur	PROPN
ejpam-4319	79	28	.	.	PUNCT
ejpam-4319	80	1	j.	j.	PROPN
ejpam-4319	80	2	pure	pure	PROPN
ejpam-4319	80	3	appl	appl	PROPN
ejpam-4319	80	4	.	.	PROPN
ejpam-4319	80	5	math	math	PROPN
ejpam-4319	80	6	,	,	PUNCT
ejpam-4319	80	7	15	15	NUM
ejpam-4319	80	8	(	(	PUNCT
ejpam-4319	80	9	2	2	NUM
ejpam-4319	80	10	)	)	PUNCT
ejpam-4319	80	11	(	(	PUNCT
ejpam-4319	80	12	2022	2022	NUM
ejpam-4319	80	13	)	)	PUNCT
ejpam-4319	80	14	,	,	PUNCT
ejpam-4319	80	15	375	375	NUM
ejpam-4319	80	16	-	-	SYM
ejpam-4319	80	17	389	389	NUM
ejpam-4319	80	18	382	382	NUM
ejpam-4319	80	19	the	the	DET
ejpam-4319	80	20	point	point	NOUN
ejpam-4319	80	21	b′	b′	NUM
ejpam-4319	80	22	6	6	NUM
ejpam-4319	80	23	,	,	PUNCT
ejpam-4319	80	24	denoted	denote	VERB
ejpam-4319	80	25	by	by	ADP
ejpam-4319	80	26	s.	s.	PROPN
ejpam-4319	80	27	the	the	DET
ejpam-4319	80	28	distance	distance	NOUN
ejpam-4319	80	29	between	between	ADP
ejpam-4319	80	30	the	the	DET
ejpam-4319	80	31	edges	edge	NOUN
ejpam-4319	80	32	of	of	ADP
ejpam-4319	80	33	paper	paper	NOUN
ejpam-4319	80	34	a1a4	a1a4	PROPN
ejpam-4319	80	35	and	and	CCONJ
ejpam-4319	80	36	the	the	DET
ejpam-4319	80	37	lateral	lateral	ADJ
ejpam-4319	80	38	edge	edge	NOUN
ejpam-4319	80	39	of	of	ADP
ejpam-4319	80	40	prism	prism	NOUN
ejpam-4319	80	41	b1b4	b1b4	INTJ
ejpam-4319	80	42	is	be	AUX
ejpam-4319	80	43	denoted	denote	VERB
ejpam-4319	80	44	by	by	ADP
ejpam-4319	80	45	t	t	PROPN
ejpam-4319	80	46	,	,	PUNCT
ejpam-4319	80	47	as	as	SCONJ
ejpam-4319	80	48	shown	show	VERB
ejpam-4319	80	49	in	in	ADP
ejpam-4319	80	50	figure	figure	NOUN
ejpam-4319	80	51	14	14	NUM
ejpam-4319	80	52	.	.	PUNCT
ejpam-4319	81	1	figure	figure	VERB
ejpam-4319	81	2	13	13	NUM
ejpam-4319	81	3	:	:	PUNCT
ejpam-4319	81	4	projection	projection	NOUN
ejpam-4319	81	5	of	of	ADP
ejpam-4319	81	6	the	the	DET
ejpam-4319	81	7	prism	prism	NOUN
ejpam-4319	81	8	.	.	PUNCT
ejpam-4319	82	1	figure	figure	VERB
ejpam-4319	82	2	14	14	NUM
ejpam-4319	82	3	:	:	PUNCT
ejpam-4319	82	4	the	the	DET
ejpam-4319	82	5	distance	distance	NOUN
ejpam-4319	82	6	between	between	ADP
ejpam-4319	82	7	the	the	DET
ejpam-4319	82	8	edge	edge	NOUN
ejpam-4319	82	9	of	of	ADP
ejpam-4319	82	10	the	the	DET
ejpam-4319	82	11	paper	paper	NOUN
ejpam-4319	82	12	and	and	CCONJ
ejpam-4319	82	13	the	the	DET
ejpam-4319	82	14	prism	prism	NOUN
ejpam-4319	82	15	.	.	PUNCT
ejpam-4319	83	1	by	by	ADP
ejpam-4319	83	2	the	the	DET
ejpam-4319	83	3	definitions	definition	NOUN
ejpam-4319	83	4	of	of	ADP
ejpam-4319	83	5	s	s	NOUN
ejpam-4319	83	6	and	and	CCONJ
ejpam-4319	83	7	t	t	PROPN
ejpam-4319	83	8	,	,	PUNCT
ejpam-4319	83	9	we	we	PRON
ejpam-4319	83	10	obtain	obtain	VERB
ejpam-4319	83	11	the	the	DET
ejpam-4319	83	12	relationship	relationship	NOUN
ejpam-4319	83	13	of	of	ADP
ejpam-4319	83	14	the	the	DET
ejpam-4319	83	15	variables	variable	NOUN
ejpam-4319	83	16	given	give	VERB
ejpam-4319	83	17	above	above	ADV
ejpam-4319	83	18	as	as	SCONJ
ejpam-4319	83	19	follows	follow	VERB
ejpam-4319	83	20	:	:	PUNCT
ejpam-4319	83	21	s	s	X
ejpam-4319	83	22	=	=	PUNCT
ejpam-4319	83	23	k	k	PROPN
ejpam-4319	83	24	−	−	PROPN
ejpam-4319	84	1	k	k	INTJ
ejpam-4319	85	1	−	−	PROPN
ejpam-4319	85	2	√	√	NUM
ejpam-4319	85	3	3l	3l	NUM
ejpam-4319	85	4	2	2	NUM
ejpam-4319	85	5	and	and	CCONJ
ejpam-4319	85	6	t	t	NOUN
ejpam-4319	85	7	=	=	SYM
ejpam-4319	85	8	l−	l−	NOUN
ejpam-4319	85	9	l	l	NOUN
ejpam-4319	85	10	2	2	NUM
ejpam-4319	85	11	.	.	PUNCT
ejpam-4319	86	1	consider	consider	VERB
ejpam-4319	86	2	the	the	DET
ejpam-4319	86	3	smallest	small	ADJ
ejpam-4319	86	4	rectangular	rectangular	ADJ
ejpam-4319	86	5	paper	paper	NOUN
ejpam-4319	86	6	that	that	PRON
ejpam-4319	86	7	contains	contain	VERB
ejpam-4319	86	8	the	the	DET
ejpam-4319	86	9	unfolded	unfolded	ADJ
ejpam-4319	86	10	prism	prism	NOUN
ejpam-4319	86	11	.	.	PUNCT
ejpam-4319	87	1	the	the	DET
ejpam-4319	87	2	rectangle	rectangle	NOUN
ejpam-4319	87	3	has	have	VERB
ejpam-4319	87	4	the	the	DET
ejpam-4319	87	5	values	value	NOUN
ejpam-4319	87	6	k	k	X
ejpam-4319	88	1	=	=	PUNCT
ejpam-4319	88	2	k	k	PROPN
ejpam-4319	89	1	+	+	CCONJ
ejpam-4319	89	2	√	√	VERB
ejpam-4319	89	3	3l	3l	NUM
ejpam-4319	89	4	and	and	CCONJ
ejpam-4319	89	5	l	l	NOUN
ejpam-4319	89	6	=	=	SYM
ejpam-4319	89	7	3l	3l	NUM
ejpam-4319	89	8	,	,	PUNCT
ejpam-4319	89	9	as	as	SCONJ
ejpam-4319	89	10	shown	show	VERB
ejpam-4319	89	11	in	in	ADP
ejpam-4319	89	12	figure	figure	NOUN
ejpam-4319	89	13	15	15	NUM
ejpam-4319	89	14	.	.	PUNCT
ejpam-4319	90	1	however	however	ADV
ejpam-4319	90	2	,	,	PUNCT
ejpam-4319	90	3	this	this	PRON
ejpam-4319	90	4	is	be	AUX
ejpam-4319	90	5	not	not	PART
ejpam-4319	90	6	considered	consider	VERB
ejpam-4319	90	7	a	a	DET
ejpam-4319	90	8	size	size	NOUN
ejpam-4319	90	9	of	of	ADP
ejpam-4319	90	10	paper	paper	NOUN
ejpam-4319	90	11	that	that	PRON
ejpam-4319	90	12	can	can	AUX
ejpam-4319	90	13	be	be	AUX
ejpam-4319	90	14	wrapped	wrap	VERB
ejpam-4319	90	15	in	in	ADP
ejpam-4319	90	16	a	a	DET
ejpam-4319	90	17	tall	tall	ADJ
ejpam-4319	90	18	wrapping	wrapping	NOUN
ejpam-4319	90	19	to	to	PART
ejpam-4319	90	20	cover	cover	VERB
ejpam-4319	90	21	a	a	DET
ejpam-4319	90	22	prism	prism	NOUN
ejpam-4319	90	23	because	because	SCONJ
ejpam-4319	90	24	when	when	SCONJ
ejpam-4319	90	25	folding	fold	VERB
ejpam-4319	90	26	the	the	DET
ejpam-4319	90	27	paper	paper	NOUN
ejpam-4319	90	28	in	in	ADP
ejpam-4319	90	29	a	a	DET
ejpam-4319	90	30	tall	tall	ADJ
ejpam-4319	90	31	wrapping	wrapping	NOUN
ejpam-4319	90	32	form	form	NOUN
ejpam-4319	90	33	,	,	PUNCT
ejpam-4319	90	34	there	there	PRON
ejpam-4319	90	35	is	be	VERB
ejpam-4319	90	36	still	still	ADV
ejpam-4319	90	37	a	a	DET
ejpam-4319	90	38	gap	gap	NOUN
ejpam-4319	90	39	to	to	PART
ejpam-4319	90	40	see	see	VERB
ejpam-4319	90	41	the	the	DET
ejpam-4319	90	42	prism	prism	NOUN
ejpam-4319	90	43	.	.	PUNCT
ejpam-4319	91	1	in	in	ADP
ejpam-4319	91	2	terms	term	NOUN
ejpam-4319	91	3	of	of	ADP
ejpam-4319	91	4	s	s	NOUN
ejpam-4319	91	5	and	and	CCONJ
ejpam-4319	91	6	t	t	PROPN
ejpam-4319	91	7	,	,	PUNCT
ejpam-4319	91	8	the	the	DET
ejpam-4319	91	9	size	size	NOUN
ejpam-4319	91	10	of	of	ADP
ejpam-4319	91	11	the	the	DET
ejpam-4319	91	12	above	above	ADJ
ejpam-4319	91	13	paper	paper	NOUN
ejpam-4319	91	14	gives	give	VERB
ejpam-4319	91	15	s	s	NOUN
ejpam-4319	91	16	=	=	SYM
ejpam-4319	91	17	0	0	NUM
ejpam-4319	91	18	and	and	CCONJ
ejpam-4319	91	19	t	t	X
ejpam-4319	91	20	=	=	SYM
ejpam-4319	91	21	0	0	X
ejpam-4319	91	22	.	.	PUNCT
ejpam-4319	92	1	hence	hence	ADV
ejpam-4319	92	2	,	,	PUNCT
ejpam-4319	92	3	the	the	DET
ejpam-4319	92	4	first	first	ADJ
ejpam-4319	92	5	condition	condition	NOUN
ejpam-4319	92	6	of	of	ADP
ejpam-4319	92	7	the	the	DET
ejpam-4319	92	8	required	require	VERB
ejpam-4319	92	9	paper	paper	NOUN
ejpam-4319	92	10	size	size	NOUN
ejpam-4319	92	11	has	have	AUX
ejpam-4319	92	12	appeared	appear	VERB
ejpam-4319	92	13	;	;	PUNCT
ejpam-4319	92	14	that	that	PRON
ejpam-4319	92	15	is	be	AUX
ejpam-4319	92	16	,	,	PUNCT
ejpam-4319	92	17	s	s	PART
ejpam-4319	92	18	and	and	CCONJ
ejpam-4319	92	19	t	t	PROPN
ejpam-4319	92	20	must	must	AUX
ejpam-4319	92	21	both	both	PRON
ejpam-4319	92	22	be	be	AUX
ejpam-4319	92	23	greater	great	ADJ
ejpam-4319	92	24	than	than	ADP
ejpam-4319	92	25	zero	zero	NUM
ejpam-4319	92	26	.	.	PUNCT
ejpam-4319	93	1	the	the	DET
ejpam-4319	93	2	remainder	remainder	NOUN
ejpam-4319	93	3	of	of	ADP
ejpam-4319	93	4	this	this	DET
ejpam-4319	93	5	section	section	NOUN
ejpam-4319	93	6	is	be	AUX
ejpam-4319	93	7	devoted	devote	VERB
ejpam-4319	93	8	to	to	ADP
ejpam-4319	93	9	finding	find	VERB
ejpam-4319	93	10	the	the	DET
ejpam-4319	93	11	values	value	NOUN
ejpam-4319	93	12	of	of	ADP
ejpam-4319	93	13	s	s	PRON
ejpam-4319	93	14	and	and	CCONJ
ejpam-4319	93	15	t	t	PROPN
ejpam-4319	93	16	that	that	PRON
ejpam-4319	93	17	will	will	AUX
ejpam-4319	93	18	cause	cause	VERB
ejpam-4319	93	19	wrapping	wrapping	NOUN
ejpam-4319	93	20	that	that	PRON
ejpam-4319	93	21	can	can	AUX
ejpam-4319	93	22	be	be	AUX
ejpam-4319	93	23	folded	fold	VERB
ejpam-4319	93	24	as	as	ADP
ejpam-4319	93	25	a	a	DET
ejpam-4319	93	26	tall	tall	ADJ
ejpam-4319	93	27	,	,	PUNCT
ejpam-4319	93	28	encased	encased	ADJ
ejpam-4319	93	29	wrapping	wrapping	NOUN
ejpam-4319	93	30	to	to	PART
ejpam-4319	93	31	lead	lead	VERB
ejpam-4319	93	32	to	to	ADP
ejpam-4319	93	33	the	the	DET
ejpam-4319	93	34	main	main	ADJ
ejpam-4319	93	35	results	result	NOUN
ejpam-4319	93	36	.	.	PUNCT
ejpam-4319	94	1	if	if	SCONJ
ejpam-4319	94	2	a	a	DET
ejpam-4319	94	3	rectangular	rectangular	ADJ
ejpam-4319	94	4	paper	paper	NOUN
ejpam-4319	94	5	has	have	VERB
ejpam-4319	94	6	t	t	X
ejpam-4319	94	7	>	>	X
ejpam-4319	94	8	l	l	PROPN
ejpam-4319	94	9	,	,	PUNCT
ejpam-4319	94	10	then	then	ADV
ejpam-4319	94	11	the	the	DET
ejpam-4319	94	12	result	result	NOUN
ejpam-4319	94	13	of	of	ADP
ejpam-4319	94	14	wrapping	wrapping	NOUN
ejpam-4319	94	15	is	be	AUX
ejpam-4319	94	16	an	an	DET
ejpam-4319	94	17	overlap	overlap	NOUN
ejpam-4319	94	18	of	of	ADP
ejpam-4319	94	19	the	the	DET
ejpam-4319	94	20	paper	paper	NOUN
ejpam-4319	94	21	in	in	ADP
ejpam-4319	94	22	the	the	DET
ejpam-4319	94	23	area	area	NOUN
ejpam-4319	94	24	above	above	ADP
ejpam-4319	94	25	the	the	DET
ejpam-4319	94	26	lateral	lateral	ADJ
ejpam-4319	94	27	edge	edge	NOUN
ejpam-4319	94	28	b5b6	b5b6	NOUN
ejpam-4319	94	29	,	,	PUNCT
ejpam-4319	94	30	as	as	SCONJ
ejpam-4319	94	31	shown	show	VERB
ejpam-4319	94	32	in	in	ADP
ejpam-4319	94	33	figure	figure	NOUN
ejpam-4319	94	34	16	16	NUM
ejpam-4319	94	35	.	.	PUNCT
ejpam-4319	95	1	thus	thus	ADV
ejpam-4319	95	2	,	,	PUNCT
ejpam-4319	95	3	the	the	DET
ejpam-4319	95	4	boundary	boundary	NOUN
ejpam-4319	95	5	of	of	ADP
ejpam-4319	95	6	possible	possible	ADJ
ejpam-4319	95	7	t	t	NOUN
ejpam-4319	95	8	that	that	PRON
ejpam-4319	95	9	prevents	prevent	VERB
ejpam-4319	95	10	excess	excess	ADJ
ejpam-4319	95	11	paper	paper	NOUN
ejpam-4319	95	12	after	after	ADP
ejpam-4319	95	13	wrapping	wrap	VERB
ejpam-4319	95	14	is	be	AUX
ejpam-4319	95	15	t	t	PRON
ejpam-4319	95	16	∈	∈	PROPN
ejpam-4319	95	17	(	(	PUNCT
ejpam-4319	95	18	0	0	NUM
ejpam-4319	95	19	,	,	PUNCT
ejpam-4319	95	20	l	l	NOUN
ejpam-4319	95	21	]	]	X
ejpam-4319	95	22	.	.	PUNCT
ejpam-4319	96	1	however	however	ADV
ejpam-4319	96	2	,	,	PUNCT
ejpam-4319	96	3	an	an	DET
ejpam-4319	96	4	equilateral	equilateral	ADJ
ejpam-4319	96	5	triangular	triangular	NOUN
ejpam-4319	96	6	prism	prism	NOUN
ejpam-4319	96	7	that	that	PRON
ejpam-4319	96	8	has	have	VERB
ejpam-4319	96	9	a	a	DET
ejpam-4319	96	10	side	side	NOUN
ejpam-4319	96	11	length	length	NOUN
ejpam-4319	96	12	of	of	ADP
ejpam-4319	96	13	l	l	NOUN
ejpam-4319	96	14	units	unit	NOUN
ejpam-4319	96	15	and	and	CCONJ
ejpam-4319	96	16	a	a	DET
ejpam-4319	96	17	height	height	NOUN
ejpam-4319	96	18	of	of	ADP
ejpam-4319	96	19	k	k	PROPN
ejpam-4319	96	20	units	unit	NOUN
ejpam-4319	96	21	where	where	SCONJ
ejpam-4319	96	22	k	k	PROPN
ejpam-4319	96	23	and	and	CCONJ
ejpam-4319	96	24	l	l	NOUN
ejpam-4319	96	25	a.	a.	NOUN
ejpam-4319	96	26	wongpradit	wongpradit	NOUN
ejpam-4319	96	27	,	,	PUNCT
ejpam-4319	96	28	p.	p.	NOUN
ejpam-4319	96	29	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	96	30	/	/	SYM
ejpam-4319	96	31	eur	eur	PROPN
ejpam-4319	96	32	.	.	PUNCT
ejpam-4319	97	1	j.	j.	PROPN
ejpam-4319	97	2	pure	pure	PROPN
ejpam-4319	97	3	appl	appl	PROPN
ejpam-4319	97	4	.	.	PROPN
ejpam-4319	97	5	math	math	PROPN
ejpam-4319	97	6	,	,	PUNCT
ejpam-4319	97	7	15	15	NUM
ejpam-4319	97	8	(	(	PUNCT
ejpam-4319	97	9	2	2	NUM
ejpam-4319	97	10	)	)	PUNCT
ejpam-4319	97	11	(	(	PUNCT
ejpam-4319	97	12	2022	2022	NUM
ejpam-4319	97	13	)	)	PUNCT
ejpam-4319	97	14	,	,	PUNCT
ejpam-4319	97	15	375	375	NUM
ejpam-4319	97	16	-	-	SYM
ejpam-4319	97	17	389	389	NUM
ejpam-4319	97	18	383	383	NUM
ejpam-4319	97	19	figure	figure	NOUN
ejpam-4319	97	20	15	15	NUM
ejpam-4319	97	21	:	:	PUNCT
ejpam-4319	97	22	the	the	DET
ejpam-4319	97	23	unfolded	unfolded	ADJ
ejpam-4319	97	24	prism	prism	NOUN
ejpam-4319	97	25	.	.	PUNCT
ejpam-4319	98	1	figure	figure	VERB
ejpam-4319	98	2	16	16	NUM
ejpam-4319	98	3	:	:	PUNCT
ejpam-4319	98	4	a	a	DET
ejpam-4319	98	5	wrapping	wrapping	NOUN
ejpam-4319	98	6	to	to	PART
ejpam-4319	98	7	cover	cover	VERB
ejpam-4319	98	8	a	a	DET
ejpam-4319	98	9	prism	prism	NOUN
ejpam-4319	98	10	when	when	SCONJ
ejpam-4319	98	11	t	t	PROPN
ejpam-4319	98	12	>	>	X
ejpam-4319	98	13	l.	l.	PROPN
ejpam-4319	98	14	are	be	AUX
ejpam-4319	98	15	any	any	DET
ejpam-4319	98	16	positive	positive	ADJ
ejpam-4319	98	17	real	real	ADJ
ejpam-4319	98	18	numbers	number	NOUN
ejpam-4319	98	19	can	can	AUX
ejpam-4319	98	20	not	not	PART
ejpam-4319	98	21	be	be	AUX
ejpam-4319	98	22	used	use	VERB
ejpam-4319	98	23	as	as	ADP
ejpam-4319	98	24	a	a	DET
ejpam-4319	98	25	tall	tall	ADJ
ejpam-4319	98	26	wrap	wrap	NOUN
ejpam-4319	98	27	at	at	ADV
ejpam-4319	98	28	all	all	ADV
ejpam-4319	98	29	k	k	PROPN
ejpam-4319	98	30	and	and	CCONJ
ejpam-4319	98	31	l	l	NOUN
ejpam-4319	98	32	values	value	NOUN
ejpam-4319	98	33	.	.	PUNCT
ejpam-4319	99	1	from	from	ADP
ejpam-4319	99	2	figure	figure	NOUN
ejpam-4319	99	3	16	16	NUM
ejpam-4319	99	4	,	,	PUNCT
ejpam-4319	99	5	we	we	PRON
ejpam-4319	99	6	begin	begin	VERB
ejpam-4319	99	7	to	to	PART
ejpam-4319	99	8	consider	consider	VERB
ejpam-4319	99	9	ways	way	NOUN
ejpam-4319	99	10	in	in	ADP
ejpam-4319	99	11	which	which	PRON
ejpam-4319	99	12	coverage	coverage	NOUN
ejpam-4319	99	13	can	can	AUX
ejpam-4319	99	14	be	be	AUX
ejpam-4319	99	15	achieved	achieve	VERB
ejpam-4319	99	16	.	.	PUNCT
ejpam-4319	100	1	if	if	SCONJ
ejpam-4319	100	2	a	a	DET
ejpam-4319	100	3	rectangular	rectangular	ADJ
ejpam-4319	100	4	paper	paper	NOUN
ejpam-4319	100	5	has	have	VERB
ejpam-4319	100	6	t	t	NOUN
ejpam-4319	100	7	=	=	SYM
ejpam-4319	100	8	l	l	NOUN
ejpam-4319	100	9	to	to	PART
ejpam-4319	100	10	wrap	wrap	VERB
ejpam-4319	100	11	a	a	DET
ejpam-4319	100	12	prism	prism	NOUN
ejpam-4319	100	13	in	in	ADP
ejpam-4319	100	14	a	a	DET
ejpam-4319	100	15	tall	tall	ADJ
ejpam-4319	100	16	wrapping	wrapping	NOUN
ejpam-4319	100	17	,	,	PUNCT
ejpam-4319	100	18	then	then	ADV
ejpam-4319	100	19	such	such	ADJ
ejpam-4319	100	20	wrapping	wrapping	NOUN
ejpam-4319	100	21	is	be	AUX
ejpam-4319	100	22	not	not	PART
ejpam-4319	100	23	considered	consider	VERB
ejpam-4319	100	24	as	as	ADP
ejpam-4319	100	25	a	a	DET
ejpam-4319	100	26	tall	tall	ADJ
ejpam-4319	100	27	wrap	wrap	NOUN
ejpam-4319	100	28	that	that	PRON
ejpam-4319	100	29	can	can	AUX
ejpam-4319	100	30	be	be	AUX
ejpam-4319	100	31	used	use	VERB
ejpam-4319	100	32	as	as	ADP
ejpam-4319	100	33	packaging	packaging	NOUN
ejpam-4319	100	34	because	because	SCONJ
ejpam-4319	100	35	when	when	SCONJ
ejpam-4319	100	36	wrapped	wrap	VERB
ejpam-4319	100	37	according	accord	VERB
ejpam-4319	100	38	to	to	ADP
ejpam-4319	100	39	the	the	DET
ejpam-4319	100	40	steps	step	NOUN
ejpam-4319	100	41	given	give	VERB
ejpam-4319	100	42	above	above	ADV
ejpam-4319	100	43	,	,	PUNCT
ejpam-4319	100	44	points	point	NOUN
ejpam-4319	100	45	a1	a1	NOUN
ejpam-4319	100	46	and	and	CCONJ
ejpam-4319	100	47	a4	a4	NOUN
ejpam-4319	100	48	do	do	AUX
ejpam-4319	100	49	not	not	PART
ejpam-4319	100	50	overlap	overlap	VERB
ejpam-4319	100	51	.	.	PUNCT
ejpam-4319	101	1	it	it	PRON
ejpam-4319	101	2	is	be	AUX
ejpam-4319	101	3	incapable	incapable	ADJ
ejpam-4319	101	4	of	of	ADP
ejpam-4319	101	5	functioning	function	VERB
ejpam-4319	101	6	as	as	ADP
ejpam-4319	101	7	packaging	packaging	NOUN
ejpam-4319	101	8	because	because	SCONJ
ejpam-4319	101	9	even	even	ADV
ejpam-4319	101	10	though	though	SCONJ
ejpam-4319	101	11	there	there	PRON
ejpam-4319	101	12	is	be	VERB
ejpam-4319	101	13	no	no	DET
ejpam-4319	101	14	gap	gap	NOUN
ejpam-4319	101	15	to	to	PART
ejpam-4319	101	16	be	be	AUX
ejpam-4319	101	17	seen	see	VERB
ejpam-4319	101	18	inside	inside	ADV
ejpam-4319	101	19	when	when	SCONJ
ejpam-4319	101	20	wrapped	wrap	VERB
ejpam-4319	101	21	successfully	successfully	ADV
ejpam-4319	101	22	,	,	PUNCT
ejpam-4319	101	23	moving	move	VERB
ejpam-4319	101	24	such	such	ADJ
ejpam-4319	101	25	packages	package	NOUN
ejpam-4319	101	26	may	may	AUX
ejpam-4319	101	27	form	form	VERB
ejpam-4319	101	28	gaps	gap	NOUN
ejpam-4319	101	29	.	.	PUNCT
ejpam-4319	102	1	paper	paper	NOUN
ejpam-4319	102	2	convergence	convergence	NOUN
ejpam-4319	102	3	is	be	AUX
ejpam-4319	102	4	really	really	ADV
ejpam-4319	102	5	a	a	DET
ejpam-4319	102	6	fit	fit	ADJ
ejpam-4319	102	7	convergence	convergence	NOUN
ejpam-4319	102	8	.	.	PUNCT
ejpam-4319	103	1	there	there	PRON
ejpam-4319	103	2	is	be	VERB
ejpam-4319	103	3	no	no	DET
ejpam-4319	103	4	surface	surface	NOUN
ejpam-4319	103	5	to	to	PART
ejpam-4319	103	6	hold	hold	VERB
ejpam-4319	103	7	all	all	DET
ejpam-4319	103	8	the	the	DET
ejpam-4319	103	9	packages	package	NOUN
ejpam-4319	103	10	together	together	ADV
ejpam-4319	103	11	.	.	PUNCT
ejpam-4319	104	1	from	from	ADP
ejpam-4319	104	2	the	the	DET
ejpam-4319	104	3	reasons	reason	NOUN
ejpam-4319	104	4	mentioned	mention	VERB
ejpam-4319	104	5	above	above	ADV
ejpam-4319	104	6	,	,	PUNCT
ejpam-4319	104	7	we	we	PRON
ejpam-4319	104	8	will	will	AUX
ejpam-4319	104	9	find	find	VERB
ejpam-4319	104	10	the	the	DET
ejpam-4319	104	11	relationship	relationship	NOUN
ejpam-4319	104	12	between	between	ADP
ejpam-4319	104	13	the	the	DET
ejpam-4319	104	14	values	value	NOUN
ejpam-4319	104	15	of	of	ADP
ejpam-4319	104	16	k	k	PROPN
ejpam-4319	104	17	,	,	PUNCT
ejpam-4319	104	18	l	l	PROPN
ejpam-4319	104	19	,	,	PUNCT
ejpam-4319	104	20	s	s	PART
ejpam-4319	104	21	and	and	CCONJ
ejpam-4319	104	22	t.	t.	NOUN
ejpam-4319	104	23	we	we	PRON
ejpam-4319	104	24	begin	begin	VERB
ejpam-4319	104	25	by	by	ADP
ejpam-4319	104	26	considering	consider	VERB
ejpam-4319	104	27	the	the	DET
ejpam-4319	104	28	reasons	reason	NOUN
ejpam-4319	104	29	for	for	ADP
ejpam-4319	104	30	practical	practical	ADJ
ejpam-4319	104	31	encapsulation	encapsulation	NOUN
ejpam-4319	104	32	as	as	ADP
ejpam-4319	104	33	packaging	packaging	NOUN
ejpam-4319	104	34	,	,	PUNCT
ejpam-4319	104	35	as	as	SCONJ
ejpam-4319	104	36	shown	show	VERB
ejpam-4319	104	37	in	in	ADP
ejpam-4319	104	38	figure	figure	NOUN
ejpam-4319	104	39	17	17	NUM
ejpam-4319	104	40	.	.	PUNCT
ejpam-4319	105	1	case	case	NOUN
ejpam-4319	105	2	t	t	NOUN
ejpam-4319	105	3	=	=	PUNCT
ejpam-4319	105	4	l.	l.	NOUN
ejpam-4319	105	5	we	we	PRON
ejpam-4319	105	6	find	find	VERB
ejpam-4319	105	7	that	that	SCONJ
ejpam-4319	105	8	the	the	DET
ejpam-4319	105	9	only	only	ADJ
ejpam-4319	105	10	reason	reason	NOUN
ejpam-4319	105	11	this	this	DET
ejpam-4319	105	12	wrapping	wrapping	NOUN
ejpam-4319	105	13	is	be	AUX
ejpam-4319	105	14	not	not	PART
ejpam-4319	105	15	an	an	DET
ejpam-4319	105	16	encased	encased	ADJ
ejpam-4319	105	17	wrapping	wrapping	NOUN
ejpam-4319	105	18	for	for	ADP
ejpam-4319	105	19	packaging	packaging	NOUN
ejpam-4319	105	20	is	be	AUX
ejpam-4319	105	21	the	the	DET
ejpam-4319	105	22	gap	gap	NOUN
ejpam-4319	105	23	between	between	ADP
ejpam-4319	105	24	a1	a1	NOUN
ejpam-4319	105	25	and	and	CCONJ
ejpam-4319	105	26	a4	a4	NOUN
ejpam-4319	105	27	after	after	SCONJ
ejpam-4319	105	28	folding	folding	NOUN
ejpam-4319	105	29	is	be	AUX
ejpam-4319	105	30	completed	complete	VERB
ejpam-4319	105	31	.	.	PUNCT
ejpam-4319	106	1	there	there	PRON
ejpam-4319	106	2	is	be	VERB
ejpam-4319	106	3	a	a	DET
ejpam-4319	106	4	chance	chance	NOUN
ejpam-4319	106	5	that	that	SCONJ
ejpam-4319	106	6	a	a	DET
ejpam-4319	106	7	gap	gap	NOUN
ejpam-4319	106	8	will	will	AUX
ejpam-4319	106	9	form	form	VERB
ejpam-4319	106	10	on	on	ADP
ejpam-4319	106	11	the	the	DET
ejpam-4319	106	12	lateral	lateral	ADJ
ejpam-4319	106	13	edge	edge	NOUN
ejpam-4319	106	14	of	of	ADP
ejpam-4319	106	15	the	the	DET
ejpam-4319	106	16	prism	prism	NOUN
ejpam-4319	106	17	,	,	PUNCT
ejpam-4319	106	18	although	although	SCONJ
ejpam-4319	106	19	the	the	DET
ejpam-4319	106	20	lengths	length	NOUN
ejpam-4319	106	21	of	of	ADP
ejpam-4319	106	22	the	the	DET
ejpam-4319	106	23	papers	paper	NOUN
ejpam-4319	106	24	meet	meet	VERB
ejpam-4319	106	25	exactly	exactly	ADV
ejpam-4319	106	26	,	,	PUNCT
ejpam-4319	106	27	as	as	SCONJ
ejpam-4319	106	28	shown	show	VERB
ejpam-4319	106	29	in	in	ADP
ejpam-4319	106	30	figure	figure	NOUN
ejpam-4319	106	31	17	17	NUM
ejpam-4319	106	32	.	.	PUNCT
ejpam-4319	107	1	consequently	consequently	ADV
ejpam-4319	107	2	,	,	PUNCT
ejpam-4319	107	3	we	we	PRON
ejpam-4319	107	4	calculate	calculate	VERB
ejpam-4319	107	5	the	the	DET
ejpam-4319	107	6	k	k	NOUN
ejpam-4319	107	7	-	-	NOUN
ejpam-4319	107	8	value	value	NOUN
ejpam-4319	107	9	of	of	ADP
ejpam-4319	107	10	the	the	DET
ejpam-4319	107	11	paper	paper	NOUN
ejpam-4319	107	12	so	so	SCONJ
ejpam-4319	107	13	that	that	SCONJ
ejpam-4319	107	14	there	there	PRON
ejpam-4319	107	15	is	be	VERB
ejpam-4319	107	16	no	no	DET
ejpam-4319	107	17	gap	gap	NOUN
ejpam-4319	107	18	between	between	ADP
ejpam-4319	107	19	points	point	NOUN
ejpam-4319	107	20	a1	a1	NOUN
ejpam-4319	107	21	and	and	CCONJ
ejpam-4319	107	22	a4	a4	NOUN
ejpam-4319	107	23	after	after	ADP
ejpam-4319	107	24	folding	fold	VERB
ejpam-4319	107	25	.	.	PUNCT
ejpam-4319	108	1	a.	a.	NOUN
ejpam-4319	108	2	wongpradit	wongpradit	NOUN
ejpam-4319	108	3	,	,	PUNCT
ejpam-4319	108	4	p.	p.	NOUN
ejpam-4319	108	5	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	108	6	/	/	SYM
ejpam-4319	108	7	eur	eur	PROPN
ejpam-4319	108	8	.	.	PUNCT
ejpam-4319	109	1	j.	j.	PROPN
ejpam-4319	109	2	pure	pure	PROPN
ejpam-4319	109	3	appl	appl	PROPN
ejpam-4319	109	4	.	.	PROPN
ejpam-4319	109	5	math	math	PROPN
ejpam-4319	109	6	,	,	PUNCT
ejpam-4319	109	7	15	15	NUM
ejpam-4319	109	8	(	(	PUNCT
ejpam-4319	109	9	2	2	NUM
ejpam-4319	109	10	)	)	PUNCT
ejpam-4319	109	11	(	(	PUNCT
ejpam-4319	109	12	2022	2022	NUM
ejpam-4319	109	13	)	)	PUNCT
ejpam-4319	109	14	,	,	PUNCT
ejpam-4319	109	15	375	375	NUM
ejpam-4319	109	16	-	-	SYM
ejpam-4319	109	17	389	389	NUM
ejpam-4319	109	18	384	384	NUM
ejpam-4319	109	19	figure	figure	NOUN
ejpam-4319	109	20	17	17	NUM
ejpam-4319	109	21	:	:	PUNCT
ejpam-4319	109	22	a	a	DET
ejpam-4319	109	23	tall	tall	ADJ
ejpam-4319	109	24	,	,	PUNCT
ejpam-4319	109	25	encased	encased	ADJ
ejpam-4319	109	26	wrapping	wrapping	NOUN
ejpam-4319	109	27	that	that	PRON
ejpam-4319	109	28	is	be	AUX
ejpam-4319	109	29	not	not	PART
ejpam-4319	109	30	as	as	ADP
ejpam-4319	109	31	packaging	packaging	NOUN
ejpam-4319	109	32	.	.	PUNCT
ejpam-4319	110	1	lemma	lemma	PROPN
ejpam-4319	110	2	1	1	X
ejpam-4319	110	3	.	.	PUNCT
ejpam-4319	111	1	let	let	VERB
ejpam-4319	111	2	b1b2b3b4b5b6	b1b2b3b4b5b6	PRON
ejpam-4319	111	3	be	be	AUX
ejpam-4319	111	4	an	an	DET
ejpam-4319	111	5	equilateral	equilateral	ADJ
ejpam-4319	111	6	triangular	triangular	NOUN
ejpam-4319	111	7	prism	prism	NOUN
ejpam-4319	111	8	such	such	ADJ
ejpam-4319	111	9	that	that	SCONJ
ejpam-4319	111	10	the	the	DET
ejpam-4319	111	11	crosssection	crosssection	NOUN
ejpam-4319	111	12	has	have	VERB
ejpam-4319	111	13	height	height	NOUN
ejpam-4319	111	14	k	k	PROPN
ejpam-4319	111	15	units	unit	NOUN
ejpam-4319	111	16	and	and	CCONJ
ejpam-4319	111	17	side	side	ADJ
ejpam-4319	111	18	length	length	NOUN
ejpam-4319	111	19	l	l	NOUN
ejpam-4319	111	20	units	unit	NOUN
ejpam-4319	111	21	and	and	CCONJ
ejpam-4319	111	22	a1a2a3a4	a1a2a3a4	PROPN
ejpam-4319	111	23	be	be	VERB
ejpam-4319	111	24	a	a	DET
ejpam-4319	111	25	rectangular	rectangular	ADJ
ejpam-4319	111	26	wrapping	wrapping	NOUN
ejpam-4319	111	27	paper	paper	NOUN
ejpam-4319	111	28	with	with	ADP
ejpam-4319	111	29	width	width	ADJ
ejpam-4319	111	30	l	l	NOUN
ejpam-4319	111	31	units	unit	NOUN
ejpam-4319	111	32	and	and	CCONJ
ejpam-4319	111	33	length	length	NOUN
ejpam-4319	111	34	k	k	PROPN
ejpam-4319	111	35	units	unit	NOUN
ejpam-4319	111	36	such	such	ADJ
ejpam-4319	111	37	that	that	SCONJ
ejpam-4319	111	38	l	l	PROPN
ejpam-4319	111	39	≥	≥	NUM
ejpam-4319	111	40	3l	3l	NUM
ejpam-4319	111	41	.	.	PUNCT
ejpam-4319	112	1	if	if	SCONJ
ejpam-4319	112	2	k	k	PROPN
ejpam-4319	112	3	≥	≥	X
ejpam-4319	112	4	3k	3k	X
ejpam-4319	112	5	2	2	NUM
ejpam-4319	112	6	+	+	CCONJ
ejpam-4319	112	7	√	√	VERB
ejpam-4319	112	8	3l	3l	NUM
ejpam-4319	112	9	and	and	CCONJ
ejpam-4319	112	10	k	k	PROPN
ejpam-4319	112	11	≤	≤	ADV
ejpam-4319	112	12	2	2	NUM
ejpam-4319	112	13	√	√	NUM
ejpam-4319	112	14	3l	3l	NUM
ejpam-4319	112	15	,	,	PUNCT
ejpam-4319	112	16	then	then	ADV
ejpam-4319	112	17	this	this	DET
ejpam-4319	112	18	wrapping	wrapping	NOUN
ejpam-4319	112	19	is	be	AUX
ejpam-4319	112	20	a	a	DET
ejpam-4319	112	21	tall	tall	ADJ
ejpam-4319	112	22	,	,	PUNCT
ejpam-4319	112	23	encased	encased	ADJ
ejpam-4319	112	24	wrapping	wrapping	NOUN
ejpam-4319	112	25	that	that	PRON
ejpam-4319	112	26	can	can	AUX
ejpam-4319	112	27	be	be	AUX
ejpam-4319	112	28	used	use	VERB
ejpam-4319	112	29	as	as	ADP
ejpam-4319	112	30	packaging	packaging	NOUN
ejpam-4319	112	31	.	.	PUNCT
ejpam-4319	113	1	proof	proof	NOUN
ejpam-4319	113	2	.	.	PUNCT
ejpam-4319	114	1	since	since	SCONJ
ejpam-4319	114	2	l	l	PROPN
ejpam-4319	114	3	≥	≥	X
ejpam-4319	114	4	3l	3l	NUM
ejpam-4319	114	5	and	and	CCONJ
ejpam-4319	114	6	the	the	DET
ejpam-4319	114	7	definition	definition	NOUN
ejpam-4319	114	8	of	of	ADP
ejpam-4319	114	9	t	t	NOUN
ejpam-4319	114	10	=	=	SYM
ejpam-4319	114	11	l−l	l−l	PROPN
ejpam-4319	114	12	2	2	NUM
ejpam-4319	114	13	,	,	PUNCT
ejpam-4319	114	14	we	we	PRON
ejpam-4319	114	15	obtain	obtain	VERB
ejpam-4319	114	16	t	t	PROPN
ejpam-4319	114	17	≥	≥	NOUN
ejpam-4319	114	18	3l−l	3l−l	NUM
ejpam-4319	114	19	2	2	NUM
ejpam-4319	114	20	=	=	SYM
ejpam-4319	114	21	l.	l.	NOUN
ejpam-4319	114	22	to	to	PART
ejpam-4319	114	23	find	find	VERB
ejpam-4319	114	24	the	the	DET
ejpam-4319	114	25	smallest	small	ADJ
ejpam-4319	114	26	paper	paper	NOUN
ejpam-4319	114	27	size	size	NOUN
ejpam-4319	114	28	that	that	PRON
ejpam-4319	114	29	allows	allow	VERB
ejpam-4319	114	30	for	for	ADP
ejpam-4319	114	31	tall	tall	ADJ
ejpam-4319	114	32	,	,	PUNCT
ejpam-4319	114	33	encased	encased	ADJ
ejpam-4319	114	34	wrapping	wrapping	NOUN
ejpam-4319	114	35	that	that	PRON
ejpam-4319	114	36	can	can	AUX
ejpam-4319	114	37	be	be	AUX
ejpam-4319	114	38	used	use	VERB
ejpam-4319	114	39	as	as	ADP
ejpam-4319	114	40	packaging	packaging	NOUN
ejpam-4319	114	41	,	,	PUNCT
ejpam-4319	114	42	we	we	PRON
ejpam-4319	114	43	determine	determine	VERB
ejpam-4319	114	44	the	the	DET
ejpam-4319	114	45	case	case	NOUN
ejpam-4319	114	46	where	where	SCONJ
ejpam-4319	114	47	t	t	PROPN
ejpam-4319	114	48	=	=	SYM
ejpam-4319	114	49	l.	l.	PROPN
ejpam-4319	114	50	from	from	ADP
ejpam-4319	114	51	figure	figure	NOUN
ejpam-4319	114	52	18	18	NUM
ejpam-4319	114	53	,	,	PUNCT
ejpam-4319	114	54	an	an	DET
ejpam-4319	114	55	unfolded	unfolded	ADJ
ejpam-4319	114	56	paper	paper	NOUN
ejpam-4319	114	57	obtained	obtain	VERB
ejpam-4319	114	58	by	by	ADP
ejpam-4319	114	59	wrapping	wrap	VERB
ejpam-4319	114	60	the	the	DET
ejpam-4319	114	61	prism	prism	NOUN
ejpam-4319	114	62	,	,	PUNCT
ejpam-4319	114	63	we	we	PRON
ejpam-4319	114	64	know	know	VERB
ejpam-4319	114	65	that	that	SCONJ
ejpam-4319	114	66	the	the	DET
ejpam-4319	114	67	three	three	NUM
ejpam-4319	114	68	angles	angle	NOUN
ejpam-4319	114	69	of	of	ADP
ejpam-4319	114	70	the	the	DET
ejpam-4319	114	71	cross	cross	ADJ
ejpam-4319	114	72	-	-	ADJ
ejpam-4319	114	73	sections	section	NOUN
ejpam-4319	114	74	b′	b′	NOUN
ejpam-4319	114	75	1b	1b	NUM
ejpam-4319	114	76	′	′	NUM
ejpam-4319	114	77	2b	2b	NUM
ejpam-4319	114	78	′	′	NUM
ejpam-4319	114	79	6	6	NUM
ejpam-4319	114	80	on	on	ADP
ejpam-4319	114	81	the	the	DET
ejpam-4319	114	82	equilateral	equilateral	ADJ
ejpam-4319	114	83	triangular	triangular	NOUN
ejpam-4319	114	84	prism	prism	NOUN
ejpam-4319	114	85	are	be	AUX
ejpam-4319	114	86	each	each	PRON
ejpam-4319	114	87	60	60	NUM
ejpam-4319	114	88	degrees	degree	NOUN
ejpam-4319	114	89	.	.	PUNCT
ejpam-4319	115	1	it	it	PRON
ejpam-4319	115	2	forces	force	VERB
ejpam-4319	115	3	∠b′	∠b′	X
ejpam-4319	115	4	1b	1b	NUM
ejpam-4319	115	5	′	′	NUM
ejpam-4319	115	6	2b	2b	NUM
ejpam-4319	115	7	′	′	NUM
ejpam-4319	115	8	6	6	NUM
ejpam-4319	115	9	=	=	SYM
ejpam-4319	115	10	∠b′	∠b′	NOUN
ejpam-4319	115	11	2b	2b	NUM
ejpam-4319	115	12	′	′	NUM
ejpam-4319	115	13	6b	6b	NOUN
ejpam-4319	115	14	′	′	NOUN
ejpam-4319	115	15	1	1	NUM
ejpam-4319	115	16	=	=	SYM
ejpam-4319	115	17	∠b′	∠b′	X
ejpam-4319	115	18	6b	6b	NUM
ejpam-4319	115	19	′	′	NUM
ejpam-4319	115	20	1b	1b	NUM
ejpam-4319	115	21	′	′	NUM
ejpam-4319	115	22	2	2	NUM
ejpam-4319	115	23	=	=	SYM
ejpam-4319	115	24	60	60	NUM
ejpam-4319	115	25	.	.	PUNCT
ejpam-4319	116	1	since	since	SCONJ
ejpam-4319	116	2	|b′	|b′	NOUN
ejpam-4319	116	3	1b	1b	NUM
ejpam-4319	117	1	′	′	NUM
ejpam-4319	117	2	2|	2|	NUM
ejpam-4319	118	1	=	=	SYM
ejpam-4319	118	2	|b′	|b′	VERB
ejpam-4319	118	3	1b	1b	NUM
ejpam-4319	118	4	′	′	NUM
ejpam-4319	119	1	6|	6|	NUM
ejpam-4319	120	1	=	=	SYM
ejpam-4319	120	2	|b′	|b′	NOUN
ejpam-4319	120	3	2b	2b	NUM
ejpam-4319	120	4	′	′	NUM
ejpam-4319	120	5	6|	6|	NUM
ejpam-4319	121	1	=	=	SYM
ejpam-4319	121	2	l	l	NOUN
ejpam-4319	121	3	,	,	PUNCT
ejpam-4319	121	4	we	we	PRON
ejpam-4319	121	5	have	have	VERB
ejpam-4319	121	6	sin	sin	NOUN
ejpam-4319	121	7	60	60	NUM
ejpam-4319	121	8	=	=	SYM
ejpam-4319	121	9	sin(∠b′	sin(∠b′	PROPN
ejpam-4319	121	10	6b	6b	NOUN
ejpam-4319	121	11	′	′	NUM
ejpam-4319	121	12	1b	1b	NUM
ejpam-4319	122	1	′	′	NUM
ejpam-4319	122	2	2	2	NUM
ejpam-4319	122	3	)	)	PUNCT
ejpam-4319	122	4	=	=	SYM
ejpam-4319	122	5	|b′	|b′	NOUN
ejpam-4319	122	6	6x|	6x|	NUM
ejpam-4319	122	7	l	l	NOUN
ejpam-4319	122	8	and	and	CCONJ
ejpam-4319	122	9	then	then	ADV
ejpam-4319	122	10	|b′	|b′	VERB
ejpam-4319	122	11	6x|	6x|	NUM
ejpam-4319	122	12	=	=	SYM
ejpam-4319	122	13	√	√	PROPN
ejpam-4319	122	14	3l	3l	NUM
ejpam-4319	122	15	2	2	NUM
ejpam-4319	122	16	.	.	PUNCT
ejpam-4319	123	1	consider	consider	VERB
ejpam-4319	123	2	that	that	SCONJ
ejpam-4319	123	3	creases	crease	VERB
ejpam-4319	123	4	,	,	PUNCT
ejpam-4319	123	5	4a1b	4a1b	NOUN
ejpam-4319	123	6	′	′	NUM
ejpam-4319	123	7	1b	1b	NUM
ejpam-4319	123	8	′	′	NUM
ejpam-4319	123	9	6	6	NUM
ejpam-4319	123	10	and	and	CCONJ
ejpam-4319	123	11	4a1b	4a1b	NOUN
ejpam-4319	124	1	′	′	NUM
ejpam-4319	124	2	1c	1c	NOUN
ejpam-4319	124	3	′	′	NOUN
ejpam-4319	124	4	1	1	NUM
ejpam-4319	124	5	can	can	AUX
ejpam-4319	124	6	be	be	AUX
ejpam-4319	124	7	folded	fold	VERB
ejpam-4319	124	8	together	together	ADV
ejpam-4319	124	9	so	so	SCONJ
ejpam-4319	124	10	that	that	SCONJ
ejpam-4319	124	11	each	each	DET
ejpam-4319	124	12	point	point	NOUN
ejpam-4319	124	13	can	can	AUX
ejpam-4319	124	14	be	be	AUX
ejpam-4319	124	15	made	make	VERB
ejpam-4319	124	16	coincident	coincident	ADJ
ejpam-4319	124	17	with	with	ADP
ejpam-4319	124	18	another	another	DET
ejpam-4319	124	19	point	point	NOUN
ejpam-4319	124	20	.	.	PUNCT
ejpam-4319	125	1	it	it	PRON
ejpam-4319	125	2	follows	follow	VERB
ejpam-4319	125	3	that	that	SCONJ
ejpam-4319	125	4	the	the	DET
ejpam-4319	125	5	two	two	NUM
ejpam-4319	125	6	triangles	triangle	NOUN
ejpam-4319	125	7	are	be	AUX
ejpam-4319	125	8	equal	equal	ADJ
ejpam-4319	125	9	in	in	ADP
ejpam-4319	125	10	all	all	DET
ejpam-4319	125	11	respects	respect	NOUN
ejpam-4319	125	12	and	and	CCONJ
ejpam-4319	125	13	∠b′	∠b′	X
ejpam-4319	125	14	1b	1b	NUM
ejpam-4319	125	15	′	′	NUM
ejpam-4319	125	16	6a1	6a1	NUM
ejpam-4319	125	17	=	=	SYM
ejpam-4319	125	18	90	90	NUM
ejpam-4319	125	19	figure	figure	NOUN
ejpam-4319	125	20	18	18	NUM
ejpam-4319	125	21	:	:	PUNCT
ejpam-4319	125	22	an	an	DET
ejpam-4319	125	23	unfolded	unfolded	ADJ
ejpam-4319	125	24	paper	paper	NOUN
ejpam-4319	125	25	obtained	obtain	VERB
ejpam-4319	125	26	by	by	ADP
ejpam-4319	125	27	wrapping	wrap	VERB
ejpam-4319	125	28	the	the	DET
ejpam-4319	125	29	prism	prism	NOUN
ejpam-4319	125	30	in	in	ADP
ejpam-4319	125	31	case	case	NOUN
ejpam-4319	125	32	t	t	NOUN
ejpam-4319	125	33	=	=	SYM
ejpam-4319	125	34	l.	l.	PROPN
ejpam-4319	125	35	since	since	SCONJ
ejpam-4319	125	36	∠xb′	∠xb′	NUM
ejpam-4319	125	37	6b	6b	NOUN
ejpam-4319	125	38	′	′	NOUN
ejpam-4319	125	39	1	1	NUM
ejpam-4319	125	40	=	=	SYM
ejpam-4319	125	41	30	30	NUM
ejpam-4319	125	42	,	,	PUNCT
ejpam-4319	125	43	we	we	PRON
ejpam-4319	125	44	have	have	AUX
ejpam-4319	125	45	∠y	∠y	VERB
ejpam-4319	125	46	b′	b′	NUM
ejpam-4319	125	47	6a1	6a1	NUM
ejpam-4319	125	48	=	=	SYM
ejpam-4319	125	49	180−	180−	NUM
ejpam-4319	125	50	∠xb′	∠xb′	PROPN
ejpam-4319	125	51	6b	6b	NOUN
ejpam-4319	125	52	′	′	NOUN
ejpam-4319	125	53	1	1	NUM
ejpam-4319	125	54	−	−	NOUN
ejpam-4319	125	55	∠b′	∠b′	PUNCT
ejpam-4319	125	56	1b	1b	NUM
ejpam-4319	125	57	′	′	NUM
ejpam-4319	126	1	6a1	6a1	NUM
ejpam-4319	126	2	=	=	SYM
ejpam-4319	126	3	180−	180−	NUM
ejpam-4319	126	4	30−	30−	NOUN
ejpam-4319	126	5	90	90	NUM
ejpam-4319	126	6	=	=	SYM
ejpam-4319	126	7	60	60	NUM
ejpam-4319	126	8	.	.	PUNCT
ejpam-4319	127	1	in	in	ADP
ejpam-4319	127	2	addition	addition	NOUN
ejpam-4319	127	3	,	,	PUNCT
ejpam-4319	127	4	we	we	PRON
ejpam-4319	127	5	know	know	VERB
ejpam-4319	127	6	|y	|y	NOUN
ejpam-4319	127	7	b′	b′	NOUN
ejpam-4319	127	8	6|	6|	NUM
ejpam-4319	128	1	=	=	SYM
ejpam-4319	128	2	s	s	NOUN
ejpam-4319	128	3	,	,	PUNCT
ejpam-4319	128	4	which	which	PRON
ejpam-4319	128	5	implies	imply	VERB
ejpam-4319	128	6	for	for	ADP
ejpam-4319	128	7	4y	4y	PROPN
ejpam-4319	128	8	b′	b′	NUM
ejpam-4319	128	9	6a1	6a1	NUM
ejpam-4319	128	10	that	that	SCONJ
ejpam-4319	128	11	cos(∠y	cos(∠y	VERB
ejpam-4319	128	12	b′	b′	NUM
ejpam-4319	128	13	6a1	6a1	NUM
ejpam-4319	128	14	)	)	PUNCT
ejpam-4319	129	1	=	=	PRON
ejpam-4319	129	2	|y	|y	ADJ
ejpam-4319	129	3	b′	b′	NUM
ejpam-4319	129	4	6|	6|	NUM
ejpam-4319	129	5	|b′	|b′	NOUN
ejpam-4319	129	6	6a1|	6a1|	NOUN
ejpam-4319	129	7	.	.	PUNCT
ejpam-4319	130	1	thus	thus	ADV
ejpam-4319	130	2	,	,	PUNCT
ejpam-4319	130	3	|b′	|b′	NOUN
ejpam-4319	130	4	6a1|	6a1|	NOUN
ejpam-4319	130	5	=	=	SYM
ejpam-4319	130	6	2s	2s	NUM
ejpam-4319	130	7	.	.	PUNCT
ejpam-4319	131	1	from	from	ADP
ejpam-4319	131	2	figure	figure	NOUN
ejpam-4319	131	3	17	17	NUM
ejpam-4319	131	4	,	,	PUNCT
ejpam-4319	131	5	to	to	PART
ejpam-4319	131	6	achieve	achieve	VERB
ejpam-4319	131	7	wrapping	wrap	VERB
ejpam-4319	131	8	in	in	ADP
ejpam-4319	131	9	a	a	DET
ejpam-4319	131	10	tall	tall	ADJ
ejpam-4319	131	11	,	,	PUNCT
ejpam-4319	131	12	encased	encased	ADJ
ejpam-4319	131	13	wrap	wrap	NOUN
ejpam-4319	131	14	that	that	PRON
ejpam-4319	131	15	can	can	AUX
ejpam-4319	131	16	a.	a.	NOUN
ejpam-4319	131	17	wongpradit	wongpradit	NOUN
ejpam-4319	131	18	,	,	PUNCT
ejpam-4319	131	19	p.	p.	NOUN
ejpam-4319	131	20	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	131	21	/	/	SYM
ejpam-4319	131	22	eur	eur	PROPN
ejpam-4319	131	23	.	.	PUNCT
ejpam-4319	132	1	j.	j.	PROPN
ejpam-4319	132	2	pure	pure	PROPN
ejpam-4319	132	3	appl	appl	PROPN
ejpam-4319	132	4	.	.	PROPN
ejpam-4319	132	5	math	math	PROPN
ejpam-4319	132	6	,	,	PUNCT
ejpam-4319	132	7	15	15	NUM
ejpam-4319	132	8	(	(	PUNCT
ejpam-4319	132	9	2	2	NUM
ejpam-4319	132	10	)	)	PUNCT
ejpam-4319	132	11	(	(	PUNCT
ejpam-4319	132	12	2022	2022	NUM
ejpam-4319	132	13	)	)	PUNCT
ejpam-4319	132	14	,	,	PUNCT
ejpam-4319	132	15	375	375	NUM
ejpam-4319	132	16	-	-	SYM
ejpam-4319	132	17	389	389	NUM
ejpam-4319	132	18	385	385	NUM
ejpam-4319	132	19	be	be	AUX
ejpam-4319	132	20	used	use	VERB
ejpam-4319	132	21	as	as	ADP
ejpam-4319	132	22	packaging	packaging	NOUN
ejpam-4319	132	23	,	,	PUNCT
ejpam-4319	132	24	it	it	PRON
ejpam-4319	132	25	is	be	AUX
ejpam-4319	132	26	necessary	necessary	ADJ
ejpam-4319	132	27	to	to	PART
ejpam-4319	132	28	move	move	VERB
ejpam-4319	132	29	the	the	DET
ejpam-4319	132	30	points	point	NOUN
ejpam-4319	132	31	a1	a1	NOUN
ejpam-4319	132	32	and	and	CCONJ
ejpam-4319	132	33	a4	a4	NOUN
ejpam-4319	132	34	to	to	PART
ejpam-4319	132	35	converge	converge	VERB
ejpam-4319	132	36	.	.	PUNCT
ejpam-4319	133	1	since	since	SCONJ
ejpam-4319	133	2	|b′	|b′	NOUN
ejpam-4319	133	3	6a1|	6a1|	NOUN
ejpam-4319	133	4	=	=	SYM
ejpam-4319	133	5	|b′	|b′	NOUN
ejpam-4319	133	6	5a4|	5a4|	NOUN
ejpam-4319	133	7	=	=	SYM
ejpam-4319	134	1	2s	2s	NUM
ejpam-4319	134	2	,	,	PUNCT
ejpam-4319	134	3	we	we	PRON
ejpam-4319	134	4	obtain	obtain	VERB
ejpam-4319	134	5	4s	4s	NUM
ejpam-4319	134	6	≥	≥	NOUN
ejpam-4319	134	7	k.	k.	NOUN
ejpam-4319	135	1	then	then	ADV
ejpam-4319	135	2	,	,	PUNCT
ejpam-4319	135	3	we	we	PRON
ejpam-4319	135	4	have	have	VERB
ejpam-4319	135	5	a	a	DET
ejpam-4319	135	6	requirement	requirement	NOUN
ejpam-4319	135	7	that	that	SCONJ
ejpam-4319	135	8	s	s	VERB
ejpam-4319	135	9	≥	≥	NOUN
ejpam-4319	135	10	k	k	NOUN
ejpam-4319	135	11	4	4	NUM
ejpam-4319	135	12	.	.	PUNCT
ejpam-4319	136	1	from	from	ADP
ejpam-4319	136	2	the	the	DET
ejpam-4319	136	3	paper	paper	NOUN
ejpam-4319	136	4	length	length	NOUN
ejpam-4319	136	5	k	k	PROPN
ejpam-4319	137	1	=	=	PUNCT
ejpam-4319	137	2	2s+	2s+	NUM
ejpam-4319	137	3	2	2	NUM
ejpam-4319	137	4	√	√	NUM
ejpam-4319	137	5	3l	3l	NUM
ejpam-4319	137	6	2	2	NUM
ejpam-4319	138	1	+	+	CCONJ
ejpam-4319	138	2	k	k	NOUN
ejpam-4319	138	3	and	and	CCONJ
ejpam-4319	138	4	the	the	DET
ejpam-4319	138	5	above	above	ADJ
ejpam-4319	138	6	requirement	requirement	NOUN
ejpam-4319	138	7	,	,	PUNCT
ejpam-4319	138	8	we	we	PRON
ejpam-4319	138	9	obtain	obtain	VERB
ejpam-4319	138	10	k	k	X
ejpam-4319	138	11	≥	≥	NUM
ejpam-4319	138	12	3k	3k	X
ejpam-4319	138	13	2	2	NUM
ejpam-4319	138	14	+	+	CCONJ
ejpam-4319	138	15	√	√	NUM
ejpam-4319	138	16	3l	3l	NUM
ejpam-4319	138	17	.	.	PUNCT
ejpam-4319	139	1	we	we	PRON
ejpam-4319	139	2	can	can	AUX
ejpam-4319	139	3	conclude	conclude	VERB
ejpam-4319	139	4	that	that	SCONJ
ejpam-4319	139	5	if	if	SCONJ
ejpam-4319	139	6	k	k	PROPN
ejpam-4319	139	7	≥	≥	VERB
ejpam-4319	139	8	3k	3k	X
ejpam-4319	139	9	2	2	NUM
ejpam-4319	139	10	+	+	CCONJ
ejpam-4319	139	11	√	√	NUM
ejpam-4319	139	12	3l	3l	NUM
ejpam-4319	139	13	,	,	PUNCT
ejpam-4319	139	14	then	then	ADV
ejpam-4319	139	15	the	the	DET
ejpam-4319	139	16	wrapping	wrapping	NOUN
ejpam-4319	139	17	that	that	PRON
ejpam-4319	139	18	is	be	AUX
ejpam-4319	139	19	achieved	achieve	VERB
ejpam-4319	139	20	is	be	AUX
ejpam-4319	139	21	a	a	DET
ejpam-4319	139	22	tall	tall	ADJ
ejpam-4319	139	23	,	,	PUNCT
ejpam-4319	139	24	encased	encased	ADJ
ejpam-4319	139	25	wrap	wrap	NOUN
ejpam-4319	139	26	that	that	PRON
ejpam-4319	139	27	can	can	AUX
ejpam-4319	139	28	be	be	AUX
ejpam-4319	139	29	used	use	VERB
ejpam-4319	139	30	as	as	ADP
ejpam-4319	139	31	packaging	packaging	NOUN
ejpam-4319	139	32	.	.	PUNCT
ejpam-4319	140	1	next	next	ADV
ejpam-4319	140	2	,	,	PUNCT
ejpam-4319	140	3	from	from	ADP
ejpam-4319	140	4	figure	figure	NOUN
ejpam-4319	140	5	18	18	NUM
ejpam-4319	140	6	,	,	PUNCT
ejpam-4319	140	7	points	point	NOUN
ejpam-4319	140	8	a1	a1	NOUN
ejpam-4319	140	9	,	,	PUNCT
ejpam-4319	140	10	a2	a2	PROPN
ejpam-4319	140	11	,	,	PUNCT
ejpam-4319	140	12	a3	a3	NOUN
ejpam-4319	140	13	and	and	CCONJ
ejpam-4319	140	14	a4	a4	NOUN
ejpam-4319	140	15	are	be	AUX
ejpam-4319	140	16	brought	bring	VERB
ejpam-4319	140	17	to	to	ADP
ejpam-4319	140	18	line	line	NOUN
ejpam-4319	140	19	b5b6	b5b6	PROPN
ejpam-4319	140	20	.	.	PUNCT
ejpam-4319	141	1	then	then	ADV
ejpam-4319	141	2	,	,	PUNCT
ejpam-4319	141	3	the	the	DET
ejpam-4319	141	4	four	four	NUM
ejpam-4319	141	5	corners	corner	NOUN
ejpam-4319	141	6	of	of	ADP
ejpam-4319	141	7	the	the	DET
ejpam-4319	141	8	paper	paper	NOUN
ejpam-4319	141	9	are	be	AUX
ejpam-4319	141	10	exactly	exactly	ADV
ejpam-4319	141	11	on	on	ADP
ejpam-4319	141	12	the	the	DET
ejpam-4319	141	13	lateral	lateral	ADJ
ejpam-4319	141	14	edge	edge	NOUN
ejpam-4319	141	15	of	of	ADP
ejpam-4319	141	16	the	the	DET
ejpam-4319	141	17	prism	prism	NOUN
ejpam-4319	141	18	;	;	PUNCT
ejpam-4319	141	19	moreover	moreover	ADV
ejpam-4319	141	20	,	,	PUNCT
ejpam-4319	141	21	∠y	∠y	PROPN
ejpam-4319	141	22	b′	b′	NUM
ejpam-4319	141	23	6a1	6a1	NUM
ejpam-4319	141	24	=	=	SYM
ejpam-4319	141	25	60	60	NUM
ejpam-4319	141	26	and	and	CCONJ
ejpam-4319	141	27	|y	|y	NOUN
ejpam-4319	141	28	a1|	a1|	NOUN
ejpam-4319	141	29	=	=	SYM
ejpam-4319	141	30	|xc	|xc	NUM
ejpam-4319	141	31	′	′	NUM
ejpam-4319	141	32	1|	1|	NUM
ejpam-4319	142	1	=	=	PUNCT
ejpam-4319	142	2	l	l	NOUN
ejpam-4319	142	3	2	2	NUM
ejpam-4319	143	1	+	+	NUM
ejpam-4319	143	2	t.	t.	NOUN
ejpam-4319	143	3	thus	thus	ADV
ejpam-4319	143	4	,	,	PUNCT
ejpam-4319	143	5	√	√	PROPN
ejpam-4319	143	6	3	3	NUM
ejpam-4319	143	7	=	=	SYM
ejpam-4319	143	8	tan(60	tan(60	PROPN
ejpam-4319	143	9	)	)	PUNCT
ejpam-4319	143	10	=	=	PUNCT
ejpam-4319	144	1	tan(∠y	tan(∠y	PROPN
ejpam-4319	144	2	b′	b′	NUM
ejpam-4319	144	3	6a1	6a1	NUM
ejpam-4319	144	4	)	)	PUNCT
ejpam-4319	145	1	=	=	PUNCT
ejpam-4319	145	2	l	l	NOUN
ejpam-4319	145	3	2	2	NUM
ejpam-4319	146	1	+	+	NOUN
ejpam-4319	146	2	t	t	NOUN
ejpam-4319	146	3	s	s	PART
ejpam-4319	146	4	.	.	PUNCT
ejpam-4319	147	1	hence	hence	ADV
ejpam-4319	147	2	,	,	PUNCT
ejpam-4319	147	3	s	s	PART
ejpam-4319	147	4	=	=	NOUN
ejpam-4319	147	5	√	√	ADJ
ejpam-4319	147	6	3l	3l	NUM
ejpam-4319	147	7	2	2	NUM
ejpam-4319	147	8	.	.	PUNCT
ejpam-4319	148	1	we	we	PRON
ejpam-4319	148	2	must	must	AUX
ejpam-4319	148	3	determine	determine	VERB
ejpam-4319	148	4	that	that	SCONJ
ejpam-4319	148	5	the	the	DET
ejpam-4319	148	6	boundary	boundary	NOUN
ejpam-4319	148	7	of	of	ADP
ejpam-4319	148	8	the	the	DET
ejpam-4319	148	9	prism	prism	NOUN
ejpam-4319	148	10	height	height	NOUN
ejpam-4319	148	11	is	be	AUX
ejpam-4319	148	12	no	no	PRON
ejpam-4319	148	13	more	more	ADJ
ejpam-4319	148	14	than	than	ADP
ejpam-4319	148	15	the	the	DET
ejpam-4319	148	16	confluence	confluence	NOUN
ejpam-4319	148	17	of	of	ADP
ejpam-4319	148	18	the	the	DET
ejpam-4319	148	19	paper	paper	NOUN
ejpam-4319	148	20	angles	angle	NOUN
ejpam-4319	148	21	on	on	ADP
ejpam-4319	148	22	the	the	DET
ejpam-4319	148	23	lateral	lateral	ADJ
ejpam-4319	148	24	edge	edge	NOUN
ejpam-4319	148	25	of	of	ADP
ejpam-4319	148	26	the	the	DET
ejpam-4319	148	27	prism	prism	NOUN
ejpam-4319	148	28	or	or	CCONJ
ejpam-4319	148	29	,	,	PUNCT
ejpam-4319	148	30	in	in	ADP
ejpam-4319	148	31	other	other	ADJ
ejpam-4319	148	32	words	word	NOUN
ejpam-4319	148	33	,	,	PUNCT
ejpam-4319	148	34	k	k	PROPN
ejpam-4319	148	35	≤	≤	ADV
ejpam-4319	148	36	4s	4s	NUM
ejpam-4319	148	37	=	=	SYM
ejpam-4319	148	38	2	2	NUM
ejpam-4319	148	39	√	√	NUM
ejpam-4319	148	40	3l	3l	NUM
ejpam-4319	148	41	.	.	PUNCT
ejpam-4319	149	1	since	since	SCONJ
ejpam-4319	149	2	the	the	DET
ejpam-4319	149	3	possible	possible	ADJ
ejpam-4319	149	4	boundaries	boundary	NOUN
ejpam-4319	149	5	of	of	ADP
ejpam-4319	149	6	t	t	PROPN
ejpam-4319	149	7	are	be	AUX
ejpam-4319	149	8	(	(	PUNCT
ejpam-4319	149	9	0	0	NUM
ejpam-4319	149	10	,	,	PUNCT
ejpam-4319	149	11	l	l	NOUN
ejpam-4319	149	12	]	]	X
ejpam-4319	149	13	,	,	PUNCT
ejpam-4319	149	14	another	another	DET
ejpam-4319	149	15	case	case	NOUN
ejpam-4319	149	16	that	that	SCONJ
ejpam-4319	149	17	we	we	PRON
ejpam-4319	149	18	must	must	AUX
ejpam-4319	149	19	consider	consider	VERB
ejpam-4319	149	20	is	be	AUX
ejpam-4319	149	21	t	t	PROPN
ejpam-4319	149	22	<	<	X
ejpam-4319	149	23	l.	l.	PROPN
ejpam-4319	149	24	case	case	PROPN
ejpam-4319	149	25	t	t	PROPN
ejpam-4319	149	26	<	<	X
ejpam-4319	149	27	l.	l.	PROPN
ejpam-4319	149	28	when	when	SCONJ
ejpam-4319	149	29	we	we	PRON
ejpam-4319	149	30	wrap	wrap	VERB
ejpam-4319	149	31	packages	package	NOUN
ejpam-4319	149	32	with	with	ADP
ejpam-4319	149	33	t	t	PROPN
ejpam-4319	149	34	<	<	X
ejpam-4319	149	35	l	l	NOUN
ejpam-4319	149	36	,	,	PUNCT
ejpam-4319	149	37	we	we	PRON
ejpam-4319	149	38	find	find	VERB
ejpam-4319	149	39	that	that	SCONJ
ejpam-4319	149	40	uncovered	uncover	VERB
ejpam-4319	149	41	wrapping	wrapping	NOUN
ejpam-4319	149	42	can	can	AUX
ejpam-4319	149	43	occur	occur	VERB
ejpam-4319	149	44	because	because	SCONJ
ejpam-4319	149	45	the	the	DET
ejpam-4319	149	46	area	area	NOUN
ejpam-4319	149	47	of	of	ADP
ejpam-4319	149	48	the	the	DET
ejpam-4319	149	49	paper	paper	NOUN
ejpam-4319	149	50	covering	cover	VERB
ejpam-4319	149	51	the	the	DET
ejpam-4319	149	52	lateral	lateral	ADJ
ejpam-4319	149	53	faces	face	NOUN
ejpam-4319	149	54	of	of	ADP
ejpam-4319	149	55	the	the	DET
ejpam-4319	149	56	prism	prism	NOUN
ejpam-4319	149	57	is	be	AUX
ejpam-4319	149	58	too	too	ADV
ejpam-4319	149	59	small	small	ADJ
ejpam-4319	149	60	as	as	SCONJ
ejpam-4319	149	61	shown	show	VERB
ejpam-4319	149	62	in	in	ADP
ejpam-4319	149	63	figure	figure	NOUN
ejpam-4319	149	64	19	19	NUM
ejpam-4319	149	65	.	.	PUNCT
ejpam-4319	150	1	we	we	PRON
ejpam-4319	150	2	can	can	AUX
ejpam-4319	150	3	fix	fix	VERB
ejpam-4319	150	4	this	this	PRON
ejpam-4319	150	5	by	by	ADP
ejpam-4319	150	6	increasing	increase	VERB
ejpam-4319	150	7	the	the	DET
ejpam-4319	150	8	size	size	NOUN
ejpam-4319	150	9	of	of	ADP
ejpam-4319	150	10	the	the	DET
ejpam-4319	150	11	paper	paper	NOUN
ejpam-4319	150	12	so	so	SCONJ
ejpam-4319	150	13	that	that	SCONJ
ejpam-4319	150	14	the	the	DET
ejpam-4319	150	15	points	point	NOUN
ejpam-4319	150	16	d1	d1	PROPN
ejpam-4319	150	17	and	and	CCONJ
ejpam-4319	150	18	d4	d4	PROPN
ejpam-4319	150	19	or	or	CCONJ
ejpam-4319	150	20	the	the	DET
ejpam-4319	150	21	points	point	NOUN
ejpam-4319	150	22	e′	e′	PROPN
ejpam-4319	150	23	1	1	NUM
ejpam-4319	150	24	and	and	CCONJ
ejpam-4319	150	25	e′	e′	NOUN
ejpam-4319	150	26	4	4	NUM
ejpam-4319	150	27	that	that	PRON
ejpam-4319	150	28	appear	appear	VERB
ejpam-4319	150	29	after	after	ADP
ejpam-4319	150	30	the	the	DET
ejpam-4319	150	31	fold	fold	NOUN
ejpam-4319	150	32	converge	converge	NOUN
ejpam-4319	150	33	.	.	PUNCT
ejpam-4319	151	1	the	the	DET
ejpam-4319	151	2	size	size	NOUN
ejpam-4319	151	3	of	of	ADP
ejpam-4319	151	4	the	the	DET
ejpam-4319	151	5	paper	paper	NOUN
ejpam-4319	151	6	is	be	AUX
ejpam-4319	151	7	according	accord	VERB
ejpam-4319	151	8	to	to	ADP
ejpam-4319	151	9	the	the	DET
ejpam-4319	151	10	following	follow	VERB
ejpam-4319	151	11	lemma	lemma	PROPN
ejpam-4319	151	12	.	.	PUNCT
ejpam-4319	151	13	figure	figure	NOUN
ejpam-4319	151	14	19	19	NUM
ejpam-4319	151	15	:	:	PUNCT
ejpam-4319	151	16	point	point	NOUN
ejpam-4319	151	17	position	position	NOUN
ejpam-4319	151	18	.	.	PUNCT
ejpam-4319	152	1	lemma	lemma	PROPN
ejpam-4319	152	2	2	2	X
ejpam-4319	152	3	.	.	PUNCT
ejpam-4319	153	1	let	let	VERB
ejpam-4319	153	2	b1b2b3b4b5b6	b1b2b3b4b5b6	PRON
ejpam-4319	153	3	be	be	AUX
ejpam-4319	153	4	an	an	DET
ejpam-4319	153	5	equilateral	equilateral	ADJ
ejpam-4319	153	6	triangular	triangular	NOUN
ejpam-4319	153	7	prism	prism	NOUN
ejpam-4319	153	8	such	such	ADJ
ejpam-4319	153	9	that	that	SCONJ
ejpam-4319	153	10	the	the	DET
ejpam-4319	153	11	crosssection	crosssection	NOUN
ejpam-4319	153	12	has	have	VERB
ejpam-4319	153	13	height	height	NOUN
ejpam-4319	153	14	k	k	PROPN
ejpam-4319	153	15	units	unit	NOUN
ejpam-4319	153	16	and	and	CCONJ
ejpam-4319	153	17	side	side	ADJ
ejpam-4319	153	18	length	length	NOUN
ejpam-4319	153	19	l	l	NOUN
ejpam-4319	153	20	units	unit	NOUN
ejpam-4319	153	21	and	and	CCONJ
ejpam-4319	153	22	a1a2a3a4	a1a2a3a4	PROPN
ejpam-4319	153	23	be	be	VERB
ejpam-4319	153	24	a	a	DET
ejpam-4319	153	25	rectangular	rectangular	ADJ
ejpam-4319	153	26	wrapping	wrapping	NOUN
ejpam-4319	153	27	paper	paper	NOUN
ejpam-4319	153	28	with	with	ADP
ejpam-4319	153	29	width	width	ADJ
ejpam-4319	153	30	l	l	NOUN
ejpam-4319	153	31	units	unit	NOUN
ejpam-4319	153	32	and	and	CCONJ
ejpam-4319	153	33	length	length	NOUN
ejpam-4319	153	34	k	k	PROPN
ejpam-4319	153	35	units	unit	NOUN
ejpam-4319	153	36	such	such	ADJ
ejpam-4319	153	37	that	that	SCONJ
ejpam-4319	153	38	l	l	NOUN
ejpam-4319	153	39	<	<	X
ejpam-4319	153	40	3l	3l	NUM
ejpam-4319	153	41	.	.	PUNCT
ejpam-4319	154	1	if	if	SCONJ
ejpam-4319	154	2	k	k	PROPN
ejpam-4319	154	3	≥	≥	X
ejpam-4319	154	4	3k	3k	X
ejpam-4319	154	5	2	2	NUM
ejpam-4319	154	6	+	+	CCONJ
ejpam-4319	154	7	√	√	VERB
ejpam-4319	154	8	3l	3l	NUM
ejpam-4319	154	9	and	and	CCONJ
ejpam-4319	154	10	k	k	X
ejpam-4319	154	11	<	<	X
ejpam-4319	154	12	2	2	NUM
ejpam-4319	154	13	√	√	NUM
ejpam-4319	154	14	3l	3l	NUM
ejpam-4319	154	15	,	,	PUNCT
ejpam-4319	154	16	then	then	ADV
ejpam-4319	154	17	this	this	DET
ejpam-4319	154	18	wrapping	wrapping	NOUN
ejpam-4319	154	19	is	be	AUX
ejpam-4319	154	20	a	a	DET
ejpam-4319	154	21	tall	tall	ADJ
ejpam-4319	154	22	,	,	PUNCT
ejpam-4319	154	23	encased	encased	ADJ
ejpam-4319	154	24	wrapping	wrapping	NOUN
ejpam-4319	154	25	that	that	PRON
ejpam-4319	154	26	can	can	AUX
ejpam-4319	154	27	be	be	AUX
ejpam-4319	154	28	used	use	VERB
ejpam-4319	154	29	as	as	ADP
ejpam-4319	154	30	packaging	packaging	NOUN
ejpam-4319	154	31	.	.	PUNCT
ejpam-4319	155	1	proof	proof	NOUN
ejpam-4319	155	2	.	.	PUNCT
ejpam-4319	156	1	since	since	SCONJ
ejpam-4319	156	2	l	l	NOUN
ejpam-4319	156	3	<	<	X
ejpam-4319	156	4	3l	3l	NUM
ejpam-4319	156	5	and	and	CCONJ
ejpam-4319	156	6	the	the	DET
ejpam-4319	156	7	definition	definition	NOUN
ejpam-4319	156	8	of	of	ADP
ejpam-4319	156	9	t	t	NOUN
ejpam-4319	156	10	=	=	SYM
ejpam-4319	156	11	l−l	l−l	PROPN
ejpam-4319	156	12	2	2	NUM
ejpam-4319	156	13	,	,	PUNCT
ejpam-4319	156	14	we	we	PRON
ejpam-4319	156	15	obtain	obtain	VERB
ejpam-4319	156	16	t	t	PROPN
ejpam-4319	156	17	<	<	X
ejpam-4319	156	18	3l−l	3l−l	NUM
ejpam-4319	156	19	2	2	NUM
ejpam-4319	156	20	=	=	SYM
ejpam-4319	156	21	l.	l.	NOUN
ejpam-4319	156	22	to	to	PART
ejpam-4319	156	23	find	find	VERB
ejpam-4319	156	24	the	the	DET
ejpam-4319	156	25	smallest	small	ADJ
ejpam-4319	156	26	paper	paper	NOUN
ejpam-4319	156	27	size	size	NOUN
ejpam-4319	156	28	that	that	PRON
ejpam-4319	156	29	allows	allow	VERB
ejpam-4319	156	30	for	for	ADP
ejpam-4319	156	31	a	a	DET
ejpam-4319	156	32	tall	tall	ADJ
ejpam-4319	156	33	,	,	PUNCT
ejpam-4319	156	34	encased	encased	ADJ
ejpam-4319	156	35	wrapping	wrapping	NOUN
ejpam-4319	156	36	that	that	PRON
ejpam-4319	156	37	can	can	AUX
ejpam-4319	156	38	be	be	AUX
ejpam-4319	156	39	used	use	VERB
ejpam-4319	156	40	as	as	ADP
ejpam-4319	156	41	packaging	packaging	NOUN
ejpam-4319	156	42	,	,	PUNCT
ejpam-4319	156	43	we	we	PRON
ejpam-4319	156	44	consider	consider	VERB
ejpam-4319	156	45	the	the	DET
ejpam-4319	156	46	unfolded	unfolded	ADJ
ejpam-4319	156	47	paper	paper	NOUN
ejpam-4319	156	48	obtained	obtain	VERB
ejpam-4319	156	49	by	by	ADP
ejpam-4319	156	50	wrapping	wrap	VERB
ejpam-4319	156	51	the	the	DET
ejpam-4319	156	52	prism	prism	NOUN
ejpam-4319	156	53	,	,	PUNCT
ejpam-4319	156	54	as	as	SCONJ
ejpam-4319	156	55	shown	show	VERB
ejpam-4319	156	56	in	in	ADP
ejpam-4319	156	57	figure	figure	NOUN
ejpam-4319	156	58	20	20	NUM
ejpam-4319	156	59	.	.	PUNCT
ejpam-4319	157	1	in	in	ADP
ejpam-4319	157	2	the	the	DET
ejpam-4319	157	3	same	same	ADJ
ejpam-4319	157	4	manner	manner	NOUN
ejpam-4319	157	5	as	as	ADP
ejpam-4319	157	6	for	for	ADP
ejpam-4319	157	7	the	the	DET
ejpam-4319	157	8	proof	proof	NOUN
ejpam-4319	157	9	of	of	ADP
ejpam-4319	157	10	lemma	lemma	PROPN
ejpam-4319	157	11	1	1	NUM
ejpam-4319	157	12	,	,	PUNCT
ejpam-4319	157	13	we	we	PRON
ejpam-4319	157	14	obtain	obtain	VERB
ejpam-4319	157	15	∠b′	∠b′	ADJ
ejpam-4319	157	16	1b	1b	NUM
ejpam-4319	157	17	′	′	NUM
ejpam-4319	157	18	2b	2b	NUM
ejpam-4319	157	19	′	′	NUM
ejpam-4319	157	20	6	6	NUM
ejpam-4319	157	21	=	=	SYM
ejpam-4319	157	22	∠b′	∠b′	NOUN
ejpam-4319	157	23	2b	2b	NUM
ejpam-4319	157	24	′	′	NUM
ejpam-4319	157	25	6b	6b	NOUN
ejpam-4319	157	26	′	′	NOUN
ejpam-4319	157	27	1	1	NUM
ejpam-4319	157	28	=	=	SYM
ejpam-4319	157	29	∠b′	∠b′	X
ejpam-4319	157	30	6b	6b	NUM
ejpam-4319	157	31	′	′	NUM
ejpam-4319	157	32	1b	1b	NUM
ejpam-4319	157	33	′	′	NUM
ejpam-4319	157	34	2	2	NUM
ejpam-4319	157	35	=	=	SYM
ejpam-4319	157	36	60	60	NUM
ejpam-4319	157	37	and	and	CCONJ
ejpam-4319	157	38	|b′	|b′	VERB
ejpam-4319	157	39	6x|	6x|	NUM
ejpam-4319	157	40	=	=	SYM
ejpam-4319	157	41	√	√	PROPN
ejpam-4319	157	42	3l	3l	NUM
ejpam-4319	157	43	2	2	NUM
ejpam-4319	157	44	.	.	PUNCT
ejpam-4319	158	1	moreover	moreover	ADV
ejpam-4319	158	2	,	,	PUNCT
ejpam-4319	158	3	∠c1b	∠c1b	NUM
ejpam-4319	158	4	′	′	NUM
ejpam-4319	158	5	1c	1c	NUM
ejpam-4319	158	6	′	′	NOUN
ejpam-4319	158	7	1	1	NUM
ejpam-4319	158	8	=	=	SYM
ejpam-4319	158	9	120	120	NUM
ejpam-4319	158	10	.	.	PUNCT
ejpam-4319	159	1	consider	consider	VERB
ejpam-4319	159	2	that	that	DET
ejpam-4319	159	3	crease	crease	NOUN
ejpam-4319	159	4	,	,	PUNCT
ejpam-4319	159	5	4c1e	4c1e	NOUN
ejpam-4319	159	6	′	′	NOUN
ejpam-4319	159	7	1b	1b	NUM
ejpam-4319	160	1	′	′	NUM
ejpam-4319	160	2	1	1	NUM
ejpam-4319	160	3	and	and	CCONJ
ejpam-4319	160	4	4c	4c	NOUN
ejpam-4319	161	1	′	′	NUM
ejpam-4319	161	2	1e	1e	NOUN
ejpam-4319	161	3	′	′	NUM
ejpam-4319	161	4	1b	1b	NUM
ejpam-4319	161	5	′	′	NUM
ejpam-4319	161	6	1	1	NUM
ejpam-4319	161	7	can	can	AUX
ejpam-4319	161	8	be	be	AUX
ejpam-4319	161	9	folded	fold	VERB
ejpam-4319	161	10	together	together	ADV
ejpam-4319	161	11	so	so	SCONJ
ejpam-4319	161	12	that	that	SCONJ
ejpam-4319	161	13	each	each	DET
ejpam-4319	161	14	point	point	NOUN
ejpam-4319	161	15	can	can	AUX
ejpam-4319	161	16	be	be	AUX
ejpam-4319	161	17	made	make	VERB
ejpam-4319	161	18	coincident	coincident	ADJ
ejpam-4319	161	19	with	with	ADP
ejpam-4319	161	20	another	another	DET
ejpam-4319	161	21	point	point	NOUN
ejpam-4319	161	22	and	and	CCONJ
ejpam-4319	161	23	|c	|c	ADJ
ejpam-4319	161	24	′	′	NUM
ejpam-4319	161	25	1b	1b	NUM
ejpam-4319	161	26	′	′	NUM
ejpam-4319	161	27	1|	1|	NUM
ejpam-4319	162	1	=	=	SYM
ejpam-4319	162	2	|c1b′	|c1b′	PROPN
ejpam-4319	162	3	1|	1|	NUM
ejpam-4319	162	4	=	=	PUNCT
ejpam-4319	163	1	t.	t.	NOUN
ejpam-4319	163	2	it	it	PRON
ejpam-4319	163	3	follows	follow	VERB
ejpam-4319	163	4	that	that	SCONJ
ejpam-4319	163	5	the	the	DET
ejpam-4319	163	6	two	two	NUM
ejpam-4319	163	7	triangles	triangle	NOUN
ejpam-4319	163	8	a.	a.	NOUN
ejpam-4319	163	9	wongpradit	wongpradit	NOUN
ejpam-4319	163	10	,	,	PUNCT
ejpam-4319	163	11	p.	p.	NOUN
ejpam-4319	163	12	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	163	13	/	/	SYM
ejpam-4319	163	14	eur	eur	PROPN
ejpam-4319	163	15	.	.	PUNCT
ejpam-4319	164	1	j.	j.	PROPN
ejpam-4319	164	2	pure	pure	PROPN
ejpam-4319	164	3	appl	appl	PROPN
ejpam-4319	164	4	.	.	PROPN
ejpam-4319	164	5	math	math	PROPN
ejpam-4319	164	6	,	,	PUNCT
ejpam-4319	164	7	15	15	NUM
ejpam-4319	164	8	(	(	PUNCT
ejpam-4319	164	9	2	2	NUM
ejpam-4319	164	10	)	)	PUNCT
ejpam-4319	164	11	(	(	PUNCT
ejpam-4319	164	12	2022	2022	NUM
ejpam-4319	164	13	)	)	PUNCT
ejpam-4319	164	14	,	,	PUNCT
ejpam-4319	164	15	375	375	NUM
ejpam-4319	164	16	-	-	SYM
ejpam-4319	164	17	389	389	NUM
ejpam-4319	164	18	386	386	NUM
ejpam-4319	164	19	are	be	AUX
ejpam-4319	164	20	equal	equal	ADJ
ejpam-4319	164	21	in	in	ADP
ejpam-4319	164	22	all	all	DET
ejpam-4319	164	23	respects	respect	NOUN
ejpam-4319	164	24	and	and	CCONJ
ejpam-4319	164	25	∠c1b	∠c1b	NUM
ejpam-4319	165	1	′	′	NUM
ejpam-4319	166	1	1e	1e	NOUN
ejpam-4319	167	1	′	′	NOUN
ejpam-4319	168	1	1	1	NUM
ejpam-4319	168	2	=	=	SYM
ejpam-4319	168	3	60.by	60.by	NUM
ejpam-4319	168	4	4c1e	4c1e	NOUN
ejpam-4319	168	5	′	′	NUM
ejpam-4319	168	6	1b	1b	NUM
ejpam-4319	169	1	′	′	NUM
ejpam-4319	169	2	1	1	NUM
ejpam-4319	169	3	,	,	PUNCT
ejpam-4319	169	4	we	we	PRON
ejpam-4319	169	5	get	get	VERB
ejpam-4319	169	6	tan(∠c1b	tan(∠c1b	PROPN
ejpam-4319	169	7	′	′	NUM
ejpam-4319	169	8	1e	1e	NOUN
ejpam-4319	169	9	′	′	NUM
ejpam-4319	170	1	1	1	NUM
ejpam-4319	170	2	)	)	PUNCT
ejpam-4319	170	3	=	=	PUNCT
ejpam-4319	170	4	|c1e′	|c1e′	VERB
ejpam-4319	170	5	1|	1|	NUM
ejpam-4319	170	6	|c1b′	|c1b′	PROPN
ejpam-4319	170	7	1|	1|	NUM
ejpam-4319	170	8	.	.	PUNCT
ejpam-4319	171	1	thus	thus	ADV
ejpam-4319	171	2	,	,	PUNCT
ejpam-4319	171	3	|c1e′	|c1e′	VERB
ejpam-4319	171	4	1|	1|	NUM
ejpam-4319	171	5	=	=	NOUN
ejpam-4319	171	6	√	√	ADP
ejpam-4319	171	7	3	3	NUM
ejpam-4319	171	8	t.	t.	NOUN
ejpam-4319	171	9	similarly	similarly	ADV
ejpam-4319	171	10	,	,	PUNCT
ejpam-4319	171	11	|c4e′	|c4e′	X
ejpam-4319	171	12	4|	4|	NUM
ejpam-4319	171	13	=	=	SYM
ejpam-4319	171	14	√	√	NUM
ejpam-4319	171	15	3	3	NUM
ejpam-4319	171	16	t.	t.	NOUN
ejpam-4319	171	17	figure	figure	NOUN
ejpam-4319	171	18	20	20	NUM
ejpam-4319	171	19	:	:	PUNCT
ejpam-4319	171	20	an	an	DET
ejpam-4319	171	21	unfolded	unfolded	ADJ
ejpam-4319	171	22	paper	paper	NOUN
ejpam-4319	171	23	obtained	obtain	VERB
ejpam-4319	171	24	by	by	ADP
ejpam-4319	171	25	wrapping	wrap	VERB
ejpam-4319	171	26	the	the	DET
ejpam-4319	171	27	prism	prism	NOUN
ejpam-4319	171	28	in	in	ADP
ejpam-4319	171	29	case	case	NOUN
ejpam-4319	171	30	t	t	PROPN
ejpam-4319	171	31	<	<	X
ejpam-4319	171	32	l.	l.	PROPN
ejpam-4319	171	33	from	from	ADP
ejpam-4319	171	34	figure	figure	NOUN
ejpam-4319	171	35	19	19	NUM
ejpam-4319	171	36	,	,	PUNCT
ejpam-4319	171	37	to	to	PART
ejpam-4319	171	38	achieve	achieve	VERB
ejpam-4319	171	39	wrapping	wrap	VERB
ejpam-4319	171	40	in	in	ADP
ejpam-4319	171	41	a	a	DET
ejpam-4319	171	42	tall	tall	ADJ
ejpam-4319	171	43	,	,	PUNCT
ejpam-4319	171	44	encased	encased	ADJ
ejpam-4319	171	45	wrap	wrap	NOUN
ejpam-4319	171	46	that	that	PRON
ejpam-4319	171	47	can	can	AUX
ejpam-4319	171	48	be	be	AUX
ejpam-4319	171	49	used	use	VERB
ejpam-4319	171	50	as	as	ADP
ejpam-4319	171	51	packaging	packaging	NOUN
ejpam-4319	171	52	,	,	PUNCT
ejpam-4319	171	53	it	it	PRON
ejpam-4319	171	54	is	be	AUX
ejpam-4319	171	55	necessary	necessary	ADJ
ejpam-4319	171	56	to	to	PART
ejpam-4319	171	57	fold	fold	VERB
ejpam-4319	171	58	the	the	DET
ejpam-4319	171	59	point	point	NOUN
ejpam-4319	171	60	d1	d1	PROPN
ejpam-4319	171	61	to	to	ADP
ejpam-4319	171	62	d4	d4	PROPN
ejpam-4319	171	63	or	or	CCONJ
ejpam-4319	171	64	fold	fold	VERB
ejpam-4319	171	65	the	the	DET
ejpam-4319	171	66	point	point	NOUN
ejpam-4319	171	67	e′	e′	PROPN
ejpam-4319	171	68	1	1	NUM
ejpam-4319	171	69	to	to	ADP
ejpam-4319	171	70	e′	e′	PROPN
ejpam-4319	171	71	4	4	NUM
ejpam-4319	171	72	.	.	PUNCT
ejpam-4319	172	1	this	this	DET
ejpam-4319	172	2	forces	force	VERB
ejpam-4319	172	3	the	the	DET
ejpam-4319	172	4	following	follow	VERB
ejpam-4319	172	5	conditions	condition	NOUN
ejpam-4319	172	6	to	to	PART
ejpam-4319	172	7	be	be	AUX
ejpam-4319	172	8	met	meet	VERB
ejpam-4319	172	9	min{|c1e′	min{|c1e′	NOUN
ejpam-4319	172	10	1|	1|	NUM
ejpam-4319	172	11	,	,	PUNCT
ejpam-4319	172	12	|b′	|b′	NOUN
ejpam-4319	172	13	6d1|	6d1|	NOUN
ejpam-4319	172	14	}	}	PUNCT
ejpam-4319	172	15	≥	≥	NOUN
ejpam-4319	173	1	k	k	NOUN
ejpam-4319	173	2	2	2	NUM
ejpam-4319	173	3	.	.	PUNCT
ejpam-4319	174	1	thus	thus	ADV
ejpam-4319	174	2	,	,	PUNCT
ejpam-4319	174	3	|c1e′	|c1e′	VERB
ejpam-4319	174	4	1|	1|	NUM
ejpam-4319	174	5	+	+	CCONJ
ejpam-4319	174	6	|c4e′	|c4e′	AUX
ejpam-4319	174	7	4|	4|	NUM
ejpam-4319	174	8	≥	≥	NOUN
ejpam-4319	174	9	|b′	|b′	VERB
ejpam-4319	174	10	1b	1b	NUM
ejpam-4319	174	11	′	′	NUM
ejpam-4319	174	12	4|	4|	NUM
ejpam-4319	174	13	.	.	PUNCT
ejpam-4319	175	1	it	it	PRON
ejpam-4319	175	2	follows	follow	VERB
ejpam-4319	175	3	that	that	SCONJ
ejpam-4319	175	4	√	√	PROPN
ejpam-4319	175	5	3	3	NUM
ejpam-4319	175	6	t	t	NOUN
ejpam-4319	175	7	+	+	CCONJ
ejpam-4319	175	8	√	√	PROPN
ejpam-4319	175	9	3	3	NUM
ejpam-4319	175	10	t	t	NOUN
ejpam-4319	175	11	≥	≥	NOUN
ejpam-4319	175	12	k.	k.	PROPN
ejpam-4319	176	1	then	then	ADV
ejpam-4319	176	2	,	,	PUNCT
ejpam-4319	176	3	we	we	PRON
ejpam-4319	176	4	obtain	obtain	VERB
ejpam-4319	176	5	a	a	DET
ejpam-4319	176	6	requirement	requirement	NOUN
ejpam-4319	176	7	that	that	SCONJ
ejpam-4319	176	8	2	2	NUM
ejpam-4319	176	9	√	√	NUM
ejpam-4319	176	10	3	3	NUM
ejpam-4319	176	11	t	t	NOUN
ejpam-4319	176	12	≥	≥	NOUN
ejpam-4319	176	13	k.	k.	PROPN
ejpam-4319	177	1	since	since	SCONJ
ejpam-4319	177	2	t	t	PROPN
ejpam-4319	177	3	<	<	X
ejpam-4319	177	4	l	l	NOUN
ejpam-4319	177	5	,	,	PUNCT
ejpam-4319	177	6	it	it	PRON
ejpam-4319	177	7	implies	imply	VERB
ejpam-4319	177	8	that	that	SCONJ
ejpam-4319	177	9	k	k	PROPN
ejpam-4319	177	10	<	<	X
ejpam-4319	177	11	2	2	NUM
ejpam-4319	177	12	√	√	NUM
ejpam-4319	177	13	3l	3l	NUM
ejpam-4319	177	14	.	.	PUNCT
ejpam-4319	178	1	moreover	moreover	ADV
ejpam-4319	178	2	,	,	PUNCT
ejpam-4319	178	3	since|b′	since|b′	PROPN
ejpam-4319	178	4	6d1|+	6d1|+	NUM
ejpam-4319	178	5	|b′	|b′	NOUN
ejpam-4319	178	6	5d4|	5d4|	NUM
ejpam-4319	178	7	≥	≥	NOUN
ejpam-4319	178	8	|b′	|b′	VERB
ejpam-4319	178	9	1b	1b	NUM
ejpam-4319	178	10	′	′	NUM
ejpam-4319	179	1	4|	4|	NUM
ejpam-4319	179	2	,	,	PUNCT
ejpam-4319	179	3	we	we	PRON
ejpam-4319	179	4	get	get	VERB
ejpam-4319	179	5	a	a	DET
ejpam-4319	179	6	requirement	requirement	NOUN
ejpam-4319	179	7	that	that	SCONJ
ejpam-4319	179	8	s	s	VERB
ejpam-4319	179	9	≥	≥	NOUN
ejpam-4319	179	10	k	k	NOUN
ejpam-4319	179	11	4	4	X
ejpam-4319	179	12	.	.	PUNCT
ejpam-4319	180	1	since	since	SCONJ
ejpam-4319	180	2	the	the	DET
ejpam-4319	180	3	paper	paper	NOUN
ejpam-4319	180	4	length	length	NOUN
ejpam-4319	181	1	k	k	PROPN
ejpam-4319	182	1	=	=	PUNCT
ejpam-4319	182	2	2s+	2s+	NUM
ejpam-4319	182	3	2	2	NUM
ejpam-4319	182	4	√	√	NUM
ejpam-4319	182	5	3l	3l	NUM
ejpam-4319	182	6	2	2	NUM
ejpam-4319	183	1	+	+	CCONJ
ejpam-4319	183	2	k	k	NOUN
ejpam-4319	183	3	and	and	CCONJ
ejpam-4319	183	4	the	the	DET
ejpam-4319	183	5	above	above	ADJ
ejpam-4319	183	6	requirements	requirement	NOUN
ejpam-4319	183	7	,	,	PUNCT
ejpam-4319	183	8	we	we	PRON
ejpam-4319	183	9	have	have	VERB
ejpam-4319	183	10	k	k	PROPN
ejpam-4319	183	11	≥	≥	NUM
ejpam-4319	183	12	3k	3k	X
ejpam-4319	183	13	2	2	NUM
ejpam-4319	183	14	+	+	CCONJ
ejpam-4319	183	15	√	√	NUM
ejpam-4319	183	16	3l	3l	NUM
ejpam-4319	183	17	.	.	PUNCT
ejpam-4319	184	1	we	we	PRON
ejpam-4319	184	2	can	can	AUX
ejpam-4319	184	3	conclude	conclude	VERB
ejpam-4319	184	4	that	that	SCONJ
ejpam-4319	184	5	if	if	SCONJ
ejpam-4319	184	6	k	k	PROPN
ejpam-4319	184	7	≥	≥	VERB
ejpam-4319	184	8	3k	3k	X
ejpam-4319	184	9	2	2	NUM
ejpam-4319	184	10	+	+	CCONJ
ejpam-4319	184	11	√	√	NUM
ejpam-4319	184	12	3l	3l	NUM
ejpam-4319	184	13	,	,	PUNCT
ejpam-4319	184	14	then	then	ADV
ejpam-4319	184	15	the	the	DET
ejpam-4319	184	16	wrapping	wrapping	NOUN
ejpam-4319	184	17	achieves	achieve	VERB
ejpam-4319	184	18	a	a	DET
ejpam-4319	184	19	tall	tall	ADJ
ejpam-4319	184	20	,	,	PUNCT
ejpam-4319	184	21	encased	encased	ADJ
ejpam-4319	184	22	wrap	wrap	NOUN
ejpam-4319	184	23	that	that	PRON
ejpam-4319	184	24	can	can	AUX
ejpam-4319	184	25	be	be	AUX
ejpam-4319	184	26	used	use	VERB
ejpam-4319	184	27	as	as	ADP
ejpam-4319	184	28	packaging	packaging	NOUN
ejpam-4319	184	29	.	.	PUNCT
ejpam-4319	185	1	now	now	ADV
ejpam-4319	185	2	,	,	PUNCT
ejpam-4319	185	3	we	we	PRON
ejpam-4319	185	4	have	have	AUX
ejpam-4319	185	5	lemmas	lemma	NOUN
ejpam-4319	185	6	that	that	PRON
ejpam-4319	185	7	show	show	VERB
ejpam-4319	185	8	how	how	SCONJ
ejpam-4319	185	9	to	to	PART
ejpam-4319	185	10	calculate	calculate	VERB
ejpam-4319	185	11	the	the	DET
ejpam-4319	185	12	size	size	NOUN
ejpam-4319	185	13	of	of	ADP
ejpam-4319	185	14	paper	paper	NOUN
ejpam-4319	185	15	to	to	PART
ejpam-4319	185	16	wrap	wrap	VERB
ejpam-4319	185	17	a	a	DET
ejpam-4319	185	18	tall	tall	ADJ
ejpam-4319	185	19	,	,	PUNCT
ejpam-4319	185	20	encased	encased	ADJ
ejpam-4319	185	21	wrapping	wrapping	NOUN
ejpam-4319	185	22	as	as	ADP
ejpam-4319	185	23	packaging	packaging	NOUN
ejpam-4319	185	24	.	.	PUNCT
ejpam-4319	186	1	however	however	ADV
ejpam-4319	186	2	,	,	PUNCT
ejpam-4319	186	3	for	for	ADP
ejpam-4319	186	4	any	any	DET
ejpam-4319	186	5	prism	prism	NOUN
ejpam-4319	186	6	of	of	ADP
ejpam-4319	186	7	height	height	NOUN
ejpam-4319	186	8	k	k	PROPN
ejpam-4319	186	9	,	,	PUNCT
ejpam-4319	186	10	it	it	PRON
ejpam-4319	186	11	is	be	AUX
ejpam-4319	186	12	not	not	PART
ejpam-4319	186	13	always	always	ADV
ejpam-4319	186	14	certain	certain	ADJ
ejpam-4319	186	15	that	that	SCONJ
ejpam-4319	186	16	we	we	PRON
ejpam-4319	186	17	can	can	AUX
ejpam-4319	186	18	take	take	VERB
ejpam-4319	186	19	the	the	DET
ejpam-4319	186	20	tall	tall	ADJ
ejpam-4319	186	21	,	,	PUNCT
ejpam-4319	186	22	encased	encased	ADJ
ejpam-4319	186	23	wrapping	wrap	VERB
ejpam-4319	186	24	formin	formin	NOUN
ejpam-4319	186	25	order	order	NOUN
ejpam-4319	186	26	to	to	PART
ejpam-4319	186	27	wrap	wrap	VERB
ejpam-4319	186	28	an	an	DET
ejpam-4319	186	29	equilateral	equilateral	ADJ
ejpam-4319	186	30	triangular	triangular	NOUN
ejpam-4319	186	31	prism	prism	NOUN
ejpam-4319	186	32	.	.	PUNCT
ejpam-4319	187	1	an	an	DET
ejpam-4319	187	2	appropriate	appropriate	ADJ
ejpam-4319	187	3	t	t	NOUN
ejpam-4319	187	4	-	-	PUNCT
ejpam-4319	187	5	value	value	NOUN
ejpam-4319	187	6	must	must	AUX
ejpam-4319	187	7	be	be	AUX
ejpam-4319	187	8	selected	select	VERB
ejpam-4319	187	9	.	.	PUNCT
ejpam-4319	188	1	let	let	VERB
ejpam-4319	188	2	t∗	t∗	NOUN
ejpam-4319	188	3	be	be	AUX
ejpam-4319	188	4	the	the	DET
ejpam-4319	188	5	smallest	small	ADJ
ejpam-4319	188	6	t	t	NOUN
ejpam-4319	188	7	-	-	PUNCT
ejpam-4319	188	8	value	value	NOUN
ejpam-4319	188	9	that	that	PRON
ejpam-4319	188	10	causes	cause	VERB
ejpam-4319	188	11	wrapping	wrap	VERB
ejpam-4319	188	12	as	as	ADP
ejpam-4319	188	13	a	a	DET
ejpam-4319	188	14	package	package	NOUN
ejpam-4319	188	15	and	and	CCONJ
ejpam-4319	188	16	s∗	s∗	PROPN
ejpam-4319	188	17	be	be	AUX
ejpam-4319	188	18	the	the	DET
ejpam-4319	188	19	smallest	small	ADJ
ejpam-4319	188	20	s	s	NOUN
ejpam-4319	188	21	-	-	NOUN
ejpam-4319	188	22	value	value	NOUN
ejpam-4319	188	23	that	that	PRON
ejpam-4319	188	24	causes	cause	VERB
ejpam-4319	188	25	wrapping	wrap	VERB
ejpam-4319	188	26	as	as	ADP
ejpam-4319	188	27	a	a	DET
ejpam-4319	188	28	package	package	NOUN
ejpam-4319	188	29	.	.	PUNCT
ejpam-4319	189	1	this	this	PRON
ejpam-4319	189	2	means	mean	VERB
ejpam-4319	189	3	that	that	SCONJ
ejpam-4319	189	4	if	if	SCONJ
ejpam-4319	189	5	t	t	PROPN
ejpam-4319	189	6	<	<	X
ejpam-4319	189	7	t∗	t∗	PROPN
ejpam-4319	189	8	,	,	PUNCT
ejpam-4319	189	9	then	then	ADV
ejpam-4319	189	10	the	the	DET
ejpam-4319	189	11	wrapping	wrapping	NOUN
ejpam-4319	189	12	formed	form	VERB
ejpam-4319	189	13	by	by	ADP
ejpam-4319	189	14	the	the	DET
ejpam-4319	189	15	t	t	NOUN
ejpam-4319	189	16	-	-	PUNCT
ejpam-4319	189	17	value	value	NOUN
ejpam-4319	189	18	rectangular	rectangular	ADJ
ejpam-4319	189	19	paper	paper	NOUN
ejpam-4319	189	20	is	be	AUX
ejpam-4319	189	21	not	not	PART
ejpam-4319	189	22	a	a	DET
ejpam-4319	189	23	tall	tall	ADJ
ejpam-4319	189	24	,	,	PUNCT
ejpam-4319	189	25	encased	encased	ADJ
ejpam-4319	189	26	wrapping	wrapping	NOUN
ejpam-4319	189	27	as	as	ADP
ejpam-4319	189	28	a	a	DET
ejpam-4319	189	29	package	package	NOUN
ejpam-4319	189	30	because	because	SCONJ
ejpam-4319	189	31	the	the	DET
ejpam-4319	189	32	s	s	X
ejpam-4319	189	33	value	value	NOUN
ejpam-4319	189	34	that	that	PRON
ejpam-4319	189	35	we	we	PRON
ejpam-4319	189	36	define	define	VERB
ejpam-4319	189	37	later	later	ADV
ejpam-4319	189	38	will	will	AUX
ejpam-4319	189	39	not	not	PART
ejpam-4319	189	40	affect	affect	VERB
ejpam-4319	189	41	the	the	DET
ejpam-4319	189	42	wrapping	wrapping	NOUN
ejpam-4319	189	43	to	to	PART
ejpam-4319	189	44	cover	cover	VERB
ejpam-4319	189	45	the	the	DET
ejpam-4319	189	46	prism	prism	NOUN
ejpam-4319	189	47	as	as	SCONJ
ejpam-4319	189	48	shown	show	VERB
ejpam-4319	189	49	in	in	ADP
ejpam-4319	189	50	figure	figure	NOUN
ejpam-4319	189	51	21	21	NUM
ejpam-4319	189	52	.	.	PUNCT
ejpam-4319	190	1	we	we	PRON
ejpam-4319	190	2	find	find	VERB
ejpam-4319	190	3	that	that	SCONJ
ejpam-4319	190	4	no	no	ADV
ejpam-4319	190	5	matter	matter	ADV
ejpam-4319	190	6	how	how	SCONJ
ejpam-4319	190	7	much	much	ADV
ejpam-4319	190	8	we	we	PRON
ejpam-4319	190	9	increase	increase	VERB
ejpam-4319	190	10	the	the	DET
ejpam-4319	190	11	s	s	NOUN
ejpam-4319	190	12	the	the	DET
ejpam-4319	190	13	result	result	NOUN
ejpam-4319	190	14	is	be	AUX
ejpam-4319	190	15	not	not	PART
ejpam-4319	190	16	tall	tall	ADJ
ejpam-4319	190	17	,	,	PUNCT
ejpam-4319	190	18	encased	encased	ADJ
ejpam-4319	190	19	wrapping	wrapping	NOUN
ejpam-4319	190	20	if	if	SCONJ
ejpam-4319	190	21	the	the	DET
ejpam-4319	190	22	given	give	VERB
ejpam-4319	190	23	value	value	NOUN
ejpam-4319	190	24	of	of	ADP
ejpam-4319	190	25	t	t	PROPN
ejpam-4319	190	26	does	do	AUX
ejpam-4319	190	27	not	not	PART
ejpam-4319	190	28	reach	reach	VERB
ejpam-4319	190	29	the	the	DET
ejpam-4319	190	30	value	value	NOUN
ejpam-4319	190	31	of	of	ADP
ejpam-4319	190	32	t∗.	t∗.	PROPN
ejpam-4319	190	33	the	the	DET
ejpam-4319	190	34	following	follow	VERB
ejpam-4319	190	35	lemma	lemma	PROPN
ejpam-4319	190	36	finds	find	VERB
ejpam-4319	190	37	the	the	DET
ejpam-4319	190	38	values	value	NOUN
ejpam-4319	190	39	of	of	ADP
ejpam-4319	190	40	t	t	PROPN
ejpam-4319	190	41	and	and	CCONJ
ejpam-4319	190	42	s	s	VERB
ejpam-4319	190	43	to	to	PART
ejpam-4319	190	44	analyze	analyze	VERB
ejpam-4319	190	45	the	the	DET
ejpam-4319	190	46	smallest	small	ADJ
ejpam-4319	190	47	boundary	boundary	NOUN
ejpam-4319	190	48	of	of	ADP
ejpam-4319	190	49	the	the	DET
ejpam-4319	190	50	paper	paper	NOUN
ejpam-4319	190	51	.	.	PUNCT
ejpam-4319	191	1	theorem	theorem	NOUN
ejpam-4319	191	2	1	1	NUM
ejpam-4319	191	3	.	.	PUNCT
ejpam-4319	192	1	let	let	VERB
ejpam-4319	192	2	b1b2b3b4b5b6	b1b2b3b4b5b6	PRON
ejpam-4319	192	3	be	be	AUX
ejpam-4319	192	4	an	an	DET
ejpam-4319	192	5	equilateral	equilateral	ADJ
ejpam-4319	192	6	triangular	triangular	NOUN
ejpam-4319	192	7	prism	prism	NOUN
ejpam-4319	192	8	such	such	ADJ
ejpam-4319	192	9	that	that	SCONJ
ejpam-4319	192	10	the	the	DET
ejpam-4319	192	11	crosssection	crosssection	NOUN
ejpam-4319	192	12	has	have	VERB
ejpam-4319	192	13	height	height	NOUN
ejpam-4319	192	14	k	k	PROPN
ejpam-4319	192	15	units	unit	NOUN
ejpam-4319	192	16	and	and	CCONJ
ejpam-4319	192	17	side	side	ADJ
ejpam-4319	192	18	length	length	NOUN
ejpam-4319	192	19	l	l	NOUN
ejpam-4319	192	20	units	unit	NOUN
ejpam-4319	192	21	and	and	CCONJ
ejpam-4319	192	22	a1a2a3a4	a1a2a3a4	PROPN
ejpam-4319	192	23	be	be	VERB
ejpam-4319	192	24	a	a	DET
ejpam-4319	192	25	rectangular	rectangular	ADJ
ejpam-4319	192	26	wrapping	wrapping	NOUN
ejpam-4319	192	27	paper	paper	NOUN
ejpam-4319	192	28	with	with	ADP
ejpam-4319	192	29	width	width	ADJ
ejpam-4319	192	30	l	l	NOUN
ejpam-4319	192	31	units	unit	NOUN
ejpam-4319	192	32	and	and	CCONJ
ejpam-4319	192	33	length	length	NOUN
ejpam-4319	192	34	k	k	PROPN
ejpam-4319	192	35	units	unit	NOUN
ejpam-4319	192	36	such	such	ADJ
ejpam-4319	192	37	that	that	SCONJ
ejpam-4319	192	38	l	l	NOUN
ejpam-4319	192	39	<	<	X
ejpam-4319	192	40	3l	3l	NUM
ejpam-4319	192	41	.	.	PUNCT
ejpam-4319	193	1	let	let	VERB
ejpam-4319	193	2	t	t	NOUN
ejpam-4319	193	3	be	be	AUX
ejpam-4319	193	4	the	the	DET
ejpam-4319	193	5	distance	distance	NOUN
ejpam-4319	193	6	between	between	ADP
ejpam-4319	193	7	the	the	DET
ejpam-4319	193	8	paper	paper	NOUN
ejpam-4319	193	9	edge	edge	NOUN
ejpam-4319	193	10	a1a4	a1a4	PROPN
ejpam-4319	193	11	and	and	CCONJ
ejpam-4319	193	12	the	the	DET
ejpam-4319	193	13	lateral	lateral	ADJ
ejpam-4319	193	14	edge	edge	NOUN
ejpam-4319	193	15	b1b4	b1b4	ADP
ejpam-4319	193	16	,	,	PUNCT
ejpam-4319	193	17	that	that	ADV
ejpam-4319	193	18	is	is	ADV
ejpam-4319	193	19	,	,	PUNCT
ejpam-4319	193	20	t	t	NOUN
ejpam-4319	193	21	=	=	SYM
ejpam-4319	193	22	l−l	l−l	PROPN
ejpam-4319	193	23	2	2	NUM
ejpam-4319	193	24	,	,	PUNCT
ejpam-4319	193	25	t∗	t∗	PROPN
ejpam-4319	193	26	be	be	AUX
ejpam-4319	193	27	the	the	DET
ejpam-4319	193	28	smallest	small	ADJ
ejpam-4319	193	29	t	t	NOUN
ejpam-4319	193	30	-	-	PUNCT
ejpam-4319	193	31	value	value	NOUN
ejpam-4319	193	32	that	that	PRON
ejpam-4319	193	33	causes	cause	VERB
ejpam-4319	193	34	wrapping	wrap	VERB
ejpam-4319	193	35	as	as	ADP
ejpam-4319	193	36	a	a	DET
ejpam-4319	193	37	package	package	NOUN
ejpam-4319	193	38	,	,	PUNCT
ejpam-4319	193	39	s	s	AUX
ejpam-4319	193	40	be	be	AUX
ejpam-4319	193	41	the	the	DET
ejpam-4319	193	42	distance	distance	NOUN
ejpam-4319	193	43	between	between	ADP
ejpam-4319	193	44	the	the	DET
ejpam-4319	193	45	paper	paper	NOUN
ejpam-4319	193	46	edge	edge	NOUN
ejpam-4319	193	47	a1a2	a1a2	PUNCT
ejpam-4319	193	48	and	and	CCONJ
ejpam-4319	193	49	the	the	DET
ejpam-4319	193	50	point	point	NOUN
ejpam-4319	193	51	b′	b′	NUM
ejpam-4319	193	52	6	6	NUM
ejpam-4319	193	53	,	,	PUNCT
ejpam-4319	193	54	that	that	ADV
ejpam-4319	193	55	is	be	AUX
ejpam-4319	193	56	,	,	PUNCT
ejpam-4319	193	57	s	s	PART
ejpam-4319	193	58	=	=	PUNCT
ejpam-4319	193	59	k−k−	k−k−	PROPN
ejpam-4319	193	60	√	√	NUM
ejpam-4319	193	61	3l	3l	NUM
ejpam-4319	193	62	2	2	NUM
ejpam-4319	193	63	,	,	PUNCT
ejpam-4319	193	64	a.	a.	NOUN
ejpam-4319	193	65	wongpradit	wongpradit	NOUN
ejpam-4319	193	66	,	,	PUNCT
ejpam-4319	193	67	p.	p.	NOUN
ejpam-4319	193	68	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	193	69	/	/	SYM
ejpam-4319	193	70	eur	eur	PROPN
ejpam-4319	193	71	.	.	PUNCT
ejpam-4319	194	1	j.	j.	PROPN
ejpam-4319	194	2	pure	pure	PROPN
ejpam-4319	194	3	appl	appl	PROPN
ejpam-4319	194	4	.	.	PROPN
ejpam-4319	194	5	math	math	PROPN
ejpam-4319	194	6	,	,	PUNCT
ejpam-4319	194	7	15	15	NUM
ejpam-4319	194	8	(	(	PUNCT
ejpam-4319	194	9	2	2	NUM
ejpam-4319	194	10	)	)	PUNCT
ejpam-4319	194	11	(	(	PUNCT
ejpam-4319	194	12	2022	2022	NUM
ejpam-4319	194	13	)	)	PUNCT
ejpam-4319	194	14	,	,	PUNCT
ejpam-4319	194	15	375	375	NUM
ejpam-4319	194	16	-	-	SYM
ejpam-4319	194	17	389	389	NUM
ejpam-4319	194	18	387	387	NUM
ejpam-4319	194	19	figure	figure	NOUN
ejpam-4319	194	20	21	21	NUM
ejpam-4319	194	21	:	:	PUNCT
ejpam-4319	194	22	folding	fold	VERB
ejpam-4319	194	23	paper	paper	NOUN
ejpam-4319	194	24	in	in	ADP
ejpam-4319	194	25	case	case	NOUN
ejpam-4319	194	26	t	t	PROPN
ejpam-4319	194	27	<	<	X
ejpam-4319	194	28	t∗.	t∗.	PROPN
ejpam-4319	194	29	and	and	CCONJ
ejpam-4319	194	30	s∗	s∗	PROPN
ejpam-4319	194	31	be	be	AUX
ejpam-4319	194	32	the	the	DET
ejpam-4319	194	33	smallest	small	ADJ
ejpam-4319	194	34	s	s	NOUN
ejpam-4319	194	35	-	-	NOUN
ejpam-4319	194	36	value	value	NOUN
ejpam-4319	194	37	that	that	PRON
ejpam-4319	194	38	causes	cause	VERB
ejpam-4319	194	39	wrapping	wrap	VERB
ejpam-4319	194	40	as	as	ADP
ejpam-4319	194	41	a	a	DET
ejpam-4319	194	42	package	package	NOUN
ejpam-4319	194	43	.	.	PUNCT
ejpam-4319	195	1	then	then	ADV
ejpam-4319	195	2	t∗	t∗	NOUN
ejpam-4319	195	3	=	=	SYM
ejpam-4319	195	4	k	k	PROPN
ejpam-4319	195	5	2	2	NUM
ejpam-4319	195	6	√	√	NUM
ejpam-4319	195	7	3	3	NUM
ejpam-4319	195	8	and	and	CCONJ
ejpam-4319	195	9	s∗	s∗	PROPN
ejpam-4319	195	10	=	=	SYM
ejpam-4319	195	11	k	k	PROPN
ejpam-4319	195	12	4	4	X
ejpam-4319	195	13	.	.	PUNCT
ejpam-4319	196	1	proof	proof	NOUN
ejpam-4319	196	2	.	.	PUNCT
ejpam-4319	197	1	assume	assume	VERB
ejpam-4319	197	2	the	the	DET
ejpam-4319	197	3	wrapping	wrapping	NOUN
ejpam-4319	197	4	is	be	AUX
ejpam-4319	197	5	a	a	DET
ejpam-4319	197	6	tall	tall	ADJ
ejpam-4319	197	7	,	,	PUNCT
ejpam-4319	197	8	encased	encased	ADJ
ejpam-4319	197	9	wrapping	wrapping	NOUN
ejpam-4319	197	10	used	use	VERB
ejpam-4319	197	11	as	as	ADP
ejpam-4319	197	12	packaging	packaging	NOUN
ejpam-4319	197	13	.	.	PUNCT
ejpam-4319	198	1	by	by	ADP
ejpam-4319	198	2	lemma	lemma	PROPN
ejpam-4319	198	3	2	2	NUM
ejpam-4319	198	4	,	,	PUNCT
ejpam-4319	198	5	we	we	PRON
ejpam-4319	198	6	have	have	VERB
ejpam-4319	198	7	k	k	PROPN
ejpam-4319	198	8	≥	≥	NUM
ejpam-4319	198	9	3k	3k	X
ejpam-4319	198	10	2	2	NUM
ejpam-4319	198	11	+	+	CCONJ
ejpam-4319	198	12	√	√	NUM
ejpam-4319	198	13	3l	3l	NUM
ejpam-4319	198	14	.	.	PUNCT
ejpam-4319	199	1	we	we	PRON
ejpam-4319	199	2	consider	consider	VERB
ejpam-4319	199	3	the	the	DET
ejpam-4319	199	4	folding	fold	VERB
ejpam-4319	199	5	scope	scope	NOUN
ejpam-4319	199	6	of	of	ADP
ejpam-4319	199	7	the	the	DET
ejpam-4319	199	8	unfolded	unfolded	ADJ
ejpam-4319	199	9	prism	prism	NOUN
ejpam-4319	199	10	,	,	PUNCT
ejpam-4319	199	11	as	as	SCONJ
ejpam-4319	199	12	shown	show	VERB
ejpam-4319	199	13	in	in	ADP
ejpam-4319	199	14	figure	figure	NOUN
ejpam-4319	199	15	15	15	NUM
ejpam-4319	199	16	;	;	PUNCT
ejpam-4319	199	17	then	then	ADV
ejpam-4319	199	18	,	,	PUNCT
ejpam-4319	199	19	the	the	DET
ejpam-4319	199	20	size	size	NOUN
ejpam-4319	199	21	of	of	ADP
ejpam-4319	199	22	the	the	DET
ejpam-4319	199	23	paper	paper	NOUN
ejpam-4319	199	24	that	that	PRON
ejpam-4319	199	25	fits	fit	VERB
ejpam-4319	199	26	the	the	DET
ejpam-4319	199	27	prism	prism	NOUN
ejpam-4319	199	28	is	be	AUX
ejpam-4319	199	29	2	2	NUM
ejpam-4319	199	30	√	√	NUM
ejpam-4319	199	31	3l	3l	NUM
ejpam-4319	199	32	2	2	NUM
ejpam-4319	200	1	+	+	CCONJ
ejpam-4319	200	2	k.	k.	NOUN
ejpam-4319	200	3	it	it	PRON
ejpam-4319	200	4	follows	follow	VERB
ejpam-4319	200	5	that	that	SCONJ
ejpam-4319	200	6	2s∗	2s∗	PROPN
ejpam-4319	200	7	=	=	SYM
ejpam-4319	200	8	2(k4	2(k4	PROPN
ejpam-4319	200	9	)	)	PUNCT
ejpam-4319	200	10	,	,	PUNCT
ejpam-4319	200	11	that	that	ADV
ejpam-4319	200	12	is	is	ADV
ejpam-4319	200	13	,	,	PUNCT
ejpam-4319	200	14	s∗	s∗	PROPN
ejpam-4319	200	15	=	=	SYM
ejpam-4319	200	16	k	k	PROPN
ejpam-4319	200	17	4	4	NUM
ejpam-4319	200	18	.	.	PUNCT
ejpam-4319	201	1	according	accord	VERB
ejpam-4319	201	2	to	to	ADP
ejpam-4319	201	3	the	the	DET
ejpam-4319	201	4	proof	proof	NOUN
ejpam-4319	201	5	of	of	ADP
ejpam-4319	201	6	lemma	lemma	PROPN
ejpam-4319	201	7	2	2	NUM
ejpam-4319	201	8	,	,	PUNCT
ejpam-4319	201	9	2	2	NUM
ejpam-4319	201	10	√	√	NUM
ejpam-4319	201	11	3	3	NUM
ejpam-4319	201	12	t	t	NOUN
ejpam-4319	201	13	≥	≥	NOUN
ejpam-4319	201	14	k	k	X
ejpam-4319	201	15	,	,	PUNCT
ejpam-4319	201	16	as	as	ADP
ejpam-4319	201	17	a	a	DET
ejpam-4319	201	18	result	result	NOUN
ejpam-4319	201	19	,	,	PUNCT
ejpam-4319	201	20	t∗	t∗	NOUN
ejpam-4319	201	21	=	=	SYM
ejpam-4319	201	22	k	k	PROPN
ejpam-4319	201	23	2	2	NUM
ejpam-4319	201	24	√	√	NUM
ejpam-4319	201	25	3	3	NUM
ejpam-4319	201	26	.	.	PUNCT
ejpam-4319	202	1	now	now	ADV
ejpam-4319	202	2	,	,	PUNCT
ejpam-4319	202	3	the	the	DET
ejpam-4319	202	4	boundary	boundary	NOUN
ejpam-4319	202	5	of	of	ADP
ejpam-4319	202	6	s	s	PROPN
ejpam-4319	202	7	and	and	CCONJ
ejpam-4319	202	8	t	t	PROPN
ejpam-4319	202	9	are	be	AUX
ejpam-4319	202	10	s∗	s∗	PROPN
ejpam-4319	202	11	≤	≤	PROPN
ejpam-4319	202	12	s	s	PART
ejpam-4319	202	13	and	and	CCONJ
ejpam-4319	202	14	t∗	t∗	NOUN
ejpam-4319	202	15	≤	≤	NUM
ejpam-4319	202	16	t	t	NOUN
ejpam-4319	202	17	≤	≤	NUM
ejpam-4319	202	18	l	l	NOUN
ejpam-4319	202	19	,	,	PUNCT
ejpam-4319	202	20	respectively	respectively	ADV
ejpam-4319	202	21	to	to	PART
ejpam-4319	202	22	achieve	achieve	VERB
ejpam-4319	202	23	wrapping	wrapping	NOUN
ejpam-4319	202	24	in	in	ADP
ejpam-4319	202	25	a	a	DET
ejpam-4319	202	26	tall	tall	ADJ
ejpam-4319	202	27	,	,	PUNCT
ejpam-4319	202	28	encased	encased	ADJ
ejpam-4319	202	29	wrap	wrap	NOUN
ejpam-4319	202	30	that	that	PRON
ejpam-4319	202	31	can	can	AUX
ejpam-4319	202	32	be	be	AUX
ejpam-4319	202	33	used	use	VERB
ejpam-4319	202	34	as	as	ADP
ejpam-4319	202	35	packaging	packaging	NOUN
ejpam-4319	202	36	.	.	PUNCT
ejpam-4319	203	1	thus	thus	ADV
ejpam-4319	203	2	,	,	PUNCT
ejpam-4319	203	3	the	the	DET
ejpam-4319	203	4	smallest	small	ADJ
ejpam-4319	203	5	of	of	ADP
ejpam-4319	203	6	s	s	PRON
ejpam-4319	203	7	and	and	CCONJ
ejpam-4319	203	8	t	t	PROPN
ejpam-4319	203	9	are	be	AUX
ejpam-4319	203	10	s∗	s∗	PROPN
ejpam-4319	203	11	and	and	CCONJ
ejpam-4319	203	12	t∗	t∗	PROPN
ejpam-4319	203	13	,	,	PUNCT
ejpam-4319	203	14	respectively	respectively	ADV
ejpam-4319	203	15	.	.	PUNCT
ejpam-4319	204	1	hence	hence	ADV
ejpam-4319	204	2	,	,	PUNCT
ejpam-4319	204	3	the	the	DET
ejpam-4319	204	4	paper	paper	NOUN
ejpam-4319	204	5	that	that	PRON
ejpam-4319	204	6	can	can	AUX
ejpam-4319	204	7	be	be	AUX
ejpam-4319	204	8	completely	completely	ADV
ejpam-4319	204	9	wrapped	wrap	VERB
ejpam-4319	204	10	within	within	ADP
ejpam-4319	204	11	a	a	DET
ejpam-4319	204	12	minimal	minimal	ADJ
ejpam-4319	204	13	region	region	NOUN
ejpam-4319	204	14	is	be	AUX
ejpam-4319	204	15	s	s	NOUN
ejpam-4319	204	16	=	=	PUNCT
ejpam-4319	204	17	s∗	s∗	PROPN
ejpam-4319	204	18	and	and	CCONJ
ejpam-4319	204	19	t	t	NOUN
ejpam-4319	204	20	=	=	PUNCT
ejpam-4319	204	21	t∗	t∗	PROPN
ejpam-4319	204	22	as	as	ADP
ejpam-4319	204	23	the	the	DET
ejpam-4319	204	24	following	follow	VERB
ejpam-4319	204	25	theorem	theorem	NOUN
ejpam-4319	204	26	.	.	PUNCT
ejpam-4319	204	27	theorem	theorem	NOUN
ejpam-4319	204	28	2	2	NUM
ejpam-4319	204	29	.	.	PUNCT
ejpam-4319	205	1	let	let	VERB
ejpam-4319	205	2	k	k	NOUN
ejpam-4319	205	3	and	and	CCONJ
ejpam-4319	205	4	l	l	NOUN
ejpam-4319	205	5	be	be	AUX
ejpam-4319	205	6	positive	positive	ADJ
ejpam-4319	205	7	real	real	ADJ
ejpam-4319	205	8	numbers	number	NOUN
ejpam-4319	205	9	such	such	ADJ
ejpam-4319	205	10	that	that	SCONJ
ejpam-4319	205	11	k	k	PROPN
ejpam-4319	205	12	≤	≤	ADV
ejpam-4319	205	13	2	2	NUM
ejpam-4319	205	14	√	√	NUM
ejpam-4319	205	15	3l	3l	NUM
ejpam-4319	205	16	.	.	PUNCT
ejpam-4319	206	1	the	the	DET
ejpam-4319	206	2	smallest	small	ADJ
ejpam-4319	206	3	paper	paper	NOUN
ejpam-4319	206	4	that	that	PRON
ejpam-4319	206	5	can	can	AUX
ejpam-4319	206	6	be	be	AUX
ejpam-4319	206	7	completely	completely	ADV
ejpam-4319	206	8	wrapped	wrap	VERB
ejpam-4319	206	9	contains	contain	VERB
ejpam-4319	206	10	k	k	X
ejpam-4319	207	1	=	=	PUNCT
ejpam-4319	208	1	3k	3k	X
ejpam-4319	209	1	2	2	NUM
ejpam-4319	210	1	+	+	CCONJ
ejpam-4319	210	2	√	√	VERB
ejpam-4319	210	3	3l	3l	NUM
ejpam-4319	210	4	and	and	CCONJ
ejpam-4319	210	5	l	l	NOUN
ejpam-4319	210	6	=	=	PUNCT
ejpam-4319	210	7	l+	l+	PUNCT
ejpam-4319	210	8	k√	k√	NOUN
ejpam-4319	210	9	3	3	NUM
ejpam-4319	210	10	,	,	PUNCT
ejpam-4319	210	11	and	and	CCONJ
ejpam-4319	210	12	the	the	DET
ejpam-4319	210	13	paper	paper	NOUN
ejpam-4319	210	14	with	with	ADP
ejpam-4319	210	15	the	the	DET
ejpam-4319	210	16	least	least	ADJ
ejpam-4319	210	17	area	area	NOUN
ejpam-4319	210	18	k	k	PROPN
ejpam-4319	210	19	×	×	PROPN
ejpam-4319	210	20	l	l	NOUN
ejpam-4319	211	1	=	=	PUNCT
ejpam-4319	211	2	(	(	PUNCT
ejpam-4319	211	3	3k2	3k2	NUM
ejpam-4319	212	1	+	+	CCONJ
ejpam-4319	212	2	√	√	ADJ
ejpam-4319	212	3	3l)(l	3l)(l	NUM
ejpam-4319	212	4	+	+	CCONJ
ejpam-4319	212	5	k√	k√	NOUN
ejpam-4319	212	6	3	3	NUM
ejpam-4319	212	7	)	)	PUNCT
ejpam-4319	212	8	.	.	PUNCT
ejpam-4319	213	1	we	we	PRON
ejpam-4319	213	2	can	can	AUX
ejpam-4319	213	3	see	see	VERB
ejpam-4319	213	4	more	more	ADV
ejpam-4319	213	5	clearly	clearly	ADV
ejpam-4319	213	6	illustrated	illustrate	VERB
ejpam-4319	213	7	by	by	ADP
ejpam-4319	213	8	the	the	DET
ejpam-4319	213	9	following	follow	VERB
ejpam-4319	213	10	examples	example	NOUN
ejpam-4319	213	11	.	.	PUNCT
ejpam-4319	214	1	example	example	NOUN
ejpam-4319	215	1	1	1	NUM
ejpam-4319	215	2	.	.	PUNCT
ejpam-4319	215	3	let	let	VERB
ejpam-4319	215	4	k	k	NOUN
ejpam-4319	215	5	=	=	SYM
ejpam-4319	215	6	3.5	3.5	NUM
ejpam-4319	215	7	(	(	PUNCT
ejpam-4319	215	8	√	√	NUM
ejpam-4319	215	9	3	3	NUM
ejpam-4319	215	10	)	)	PUNCT
ejpam-4319	215	11	,	,	PUNCT
ejpam-4319	215	12	l	l	NOUN
ejpam-4319	215	13	=	=	SYM
ejpam-4319	215	14	3.5	3.5	NUM
ejpam-4319	215	15	,	,	PUNCT
ejpam-4319	215	16	s	s	PART
ejpam-4319	215	17	=	=	SYM
ejpam-4319	215	18	1.52	1.52	NUM
ejpam-4319	215	19	and	and	CCONJ
ejpam-4319	215	20	t	t	NOUN
ejpam-4319	215	21	=	=	NUM
ejpam-4319	215	22	1.75	1.75	NUM
ejpam-4319	215	23	.	.	PUNCT
ejpam-4319	216	1	from	from	ADP
ejpam-4319	216	2	figure	figure	NOUN
ejpam-4319	216	3	22	22	NUM
ejpam-4319	216	4	,	,	PUNCT
ejpam-4319	216	5	when	when	SCONJ
ejpam-4319	216	6	folded	fold	VERB
ejpam-4319	216	7	paper	paper	NOUN
ejpam-4319	216	8	is	be	AUX
ejpam-4319	216	9	the	the	DET
ejpam-4319	216	10	specified	specified	ADJ
ejpam-4319	216	11	size	size	NOUN
ejpam-4319	216	12	,	,	PUNCT
ejpam-4319	216	13	it	it	PRON
ejpam-4319	216	14	is	be	AUX
ejpam-4319	216	15	a	a	DET
ejpam-4319	216	16	tall	tall	ADJ
ejpam-4319	216	17	,	,	PUNCT
ejpam-4319	216	18	encased	encased	ADJ
ejpam-4319	216	19	wrapping	wrapping	NOUN
ejpam-4319	216	20	that	that	PRON
ejpam-4319	216	21	can	can	AUX
ejpam-4319	216	22	be	be	AUX
ejpam-4319	216	23	used	use	VERB
ejpam-4319	216	24	as	as	ADP
ejpam-4319	216	25	packaging	packaging	NOUN
ejpam-4319	216	26	and	and	CCONJ
ejpam-4319	216	27	corresponds	correspond	NOUN
ejpam-4319	216	28	to	to	AUX
ejpam-4319	216	29	theorem	theorem	NOUN
ejpam-4319	216	30	1	1	NUM
ejpam-4319	216	31	that	that	SCONJ
ejpam-4319	216	32	t	t	NOUN
ejpam-4319	216	33	=	=	SYM
ejpam-4319	216	34	t∗	t∗	NOUN
ejpam-4319	217	1	=	=	SYM
ejpam-4319	217	2	k	k	PROPN
ejpam-4319	217	3	2	2	NUM
ejpam-4319	217	4	√	√	NUM
ejpam-4319	217	5	3	3	NUM
ejpam-4319	217	6	and	and	CCONJ
ejpam-4319	217	7	s	s	NOUN
ejpam-4319	217	8	=	=	PUNCT
ejpam-4319	217	9	s∗	s∗	PROPN
ejpam-4319	217	10	=	=	SYM
ejpam-4319	217	11	k	k	PROPN
ejpam-4319	217	12	4	4	X
ejpam-4319	217	13	.	.	PUNCT
ejpam-4319	218	1	in	in	ADP
ejpam-4319	218	2	addition	addition	NOUN
ejpam-4319	218	3	,	,	PUNCT
ejpam-4319	218	4	the	the	DET
ejpam-4319	218	5	area	area	NOUN
ejpam-4319	218	6	is	be	AUX
ejpam-4319	218	7	106.12	106.12	NUM
ejpam-4319	218	8	units2	units2	NOUN
ejpam-4319	218	9	corresponding	correspond	VERB
ejpam-4319	218	10	to	to	AUX
ejpam-4319	218	11	theorem	theorem	VERB
ejpam-4319	218	12	2	2	NUM
ejpam-4319	218	13	.	.	NOUN
ejpam-4319	218	14	example	example	NOUN
ejpam-4319	218	15	2	2	NUM
ejpam-4319	218	16	.	.	PUNCT
ejpam-4319	218	17	let	let	VERB
ejpam-4319	218	18	k	k	NOUN
ejpam-4319	218	19	=	=	SYM
ejpam-4319	218	20	3.5	3.5	NUM
ejpam-4319	218	21	(	(	PUNCT
ejpam-4319	218	22	√	√	NUM
ejpam-4319	218	23	3	3	NUM
ejpam-4319	218	24	)	)	PUNCT
ejpam-4319	218	25	,	,	PUNCT
ejpam-4319	218	26	l	l	NOUN
ejpam-4319	218	27	=	=	SYM
ejpam-4319	218	28	3.5	3.5	NUM
ejpam-4319	218	29	,	,	PUNCT
ejpam-4319	218	30	s	s	PART
ejpam-4319	218	31	=	=	SYM
ejpam-4319	218	32	1.3	1.3	NUM
ejpam-4319	218	33	and	and	CCONJ
ejpam-4319	218	34	t	t	NOUN
ejpam-4319	218	35	=	=	SYM
ejpam-4319	218	36	1.5	1.5	NUM
ejpam-4319	218	37	.	.	PUNCT
ejpam-4319	219	1	from	from	ADP
ejpam-4319	219	2	figure	figure	NOUN
ejpam-4319	219	3	23	23	NUM
ejpam-4319	219	4	,	,	PUNCT
ejpam-4319	219	5	when	when	SCONJ
ejpam-4319	219	6	folded	fold	VERB
ejpam-4319	219	7	paper	paper	NOUN
ejpam-4319	219	8	is	be	AUX
ejpam-4319	219	9	the	the	DET
ejpam-4319	219	10	specified	specified	ADJ
ejpam-4319	219	11	size	size	NOUN
ejpam-4319	219	12	,	,	PUNCT
ejpam-4319	219	13	it	it	PRON
ejpam-4319	219	14	is	be	AUX
ejpam-4319	219	15	a	a	DET
ejpam-4319	219	16	tall	tall	ADJ
ejpam-4319	219	17	,	,	PUNCT
ejpam-4319	219	18	uncovered	uncovered	ADJ
ejpam-4319	219	19	wrapping	wrapping	NOUN
ejpam-4319	219	20	that	that	PRON
ejpam-4319	219	21	can	can	AUX
ejpam-4319	219	22	be	be	AUX
ejpam-4319	219	23	used	use	VERB
ejpam-4319	219	24	as	as	ADP
ejpam-4319	219	25	packaging	packaging	NOUN
ejpam-4319	219	26	because	because	SCONJ
ejpam-4319	219	27	it	it	PRON
ejpam-4319	219	28	does	do	AUX
ejpam-4319	219	29	not	not	PART
ejpam-4319	219	30	correspond	correspond	VERB
ejpam-4319	219	31	to	to	ADP
ejpam-4319	219	32	lemma	lemma	PROPN
ejpam-4319	219	33	2	2	NUM
ejpam-4319	219	34	and	and	CCONJ
ejpam-4319	219	35	theorem	theorem	VERB
ejpam-4319	219	36	1	1	NUM
ejpam-4319	219	37	.	.	NOUN
ejpam-4319	219	38	remark	remark	NOUN
ejpam-4319	219	39	1	1	NUM
ejpam-4319	219	40	.	.	PUNCT
ejpam-4319	220	1	from	from	ADP
ejpam-4319	220	2	figure	figure	NOUN
ejpam-4319	220	3	24	24	NUM
ejpam-4319	220	4	,	,	PUNCT
ejpam-4319	220	5	khanom	khanom	PROPN
ejpam-4319	220	6	saisai	saisai	PROPN
ejpam-4319	220	7	,	,	PUNCT
ejpam-4319	220	8	which	which	PRON
ejpam-4319	220	9	is	be	AUX
ejpam-4319	220	10	a	a	DET
ejpam-4319	220	11	thai	thai	ADJ
ejpam-4319	220	12	dessert	dessert	NOUN
ejpam-4319	220	13	,	,	PUNCT
ejpam-4319	220	14	resembles	resemble	VERB
ejpam-4319	220	15	an	an	DET
ejpam-4319	220	16	equilateral	equilateral	ADJ
ejpam-4319	220	17	triangular	triangular	NOUN
ejpam-4319	220	18	prism	prism	NOUN
ejpam-4319	220	19	.	.	PUNCT
ejpam-4319	221	1	we	we	PRON
ejpam-4319	221	2	see	see	VERB
ejpam-4319	221	3	that	that	SCONJ
ejpam-4319	221	4	if	if	SCONJ
ejpam-4319	221	5	k	k	PROPN
ejpam-4319	221	6	is	be	AUX
ejpam-4319	221	7	less	less	ADJ
ejpam-4319	221	8	than	than	ADP
ejpam-4319	221	9	l	l	NOUN
ejpam-4319	221	10	,	,	PUNCT
ejpam-4319	221	11	then	then	ADV
ejpam-4319	221	12	it	it	PRON
ejpam-4319	221	13	makes	make	VERB
ejpam-4319	221	14	the	the	DET
ejpam-4319	221	15	s	s	NOUN
ejpam-4319	221	16	-	-	PUNCT
ejpam-4319	221	17	value	value	NOUN
ejpam-4319	221	18	larger	large	ADJ
ejpam-4319	221	19	than	than	ADP
ejpam-4319	221	20	the	the	DET
ejpam-4319	221	21	k	k	NOUN
ejpam-4319	221	22	-	-	NOUN
ejpam-4319	221	23	value	value	NOUN
ejpam-4319	221	24	.	.	PUNCT
ejpam-4319	222	1	besides	besides	SCONJ
ejpam-4319	222	2	,	,	PUNCT
ejpam-4319	222	3	when	when	SCONJ
ejpam-4319	222	4	we	we	PRON
ejpam-4319	222	5	fold	fold	VERB
ejpam-4319	222	6	both	both	DET
ejpam-4319	222	7	wings	wing	NOUN
ejpam-4319	222	8	of	of	ADP
ejpam-4319	222	9	the	the	DET
ejpam-4319	222	10	banana	banana	NOUN
ejpam-4319	222	11	leaves	leave	VERB
ejpam-4319	222	12	together	together	ADV
ejpam-4319	222	13	to	to	ADP
ejpam-4319	222	14	a.	a.	NOUN
ejpam-4319	222	15	wongpradit	wongpradit	NOUN
ejpam-4319	222	16	,	,	PUNCT
ejpam-4319	222	17	p.	p.	NOUN
ejpam-4319	222	18	khachorncharoenkul	khachorncharoenkul	PROPN
ejpam-4319	222	19	/	/	SYM
ejpam-4319	222	20	eur	eur	PROPN
ejpam-4319	222	21	.	.	PUNCT
ejpam-4319	223	1	j.	j.	PROPN
ejpam-4319	223	2	pure	pure	PROPN
ejpam-4319	223	3	appl	appl	PROPN
ejpam-4319	223	4	.	.	PROPN
ejpam-4319	223	5	math	math	PROPN
ejpam-4319	223	6	,	,	PUNCT
ejpam-4319	223	7	15	15	NUM
ejpam-4319	223	8	(	(	PUNCT
ejpam-4319	223	9	2	2	NUM
ejpam-4319	223	10	)	)	PUNCT
ejpam-4319	223	11	(	(	PUNCT
ejpam-4319	223	12	2022	2022	NUM
ejpam-4319	223	13	)	)	PUNCT
ejpam-4319	223	14	,	,	PUNCT
ejpam-4319	223	15	375	375	NUM
ejpam-4319	223	16	-	-	SYM
ejpam-4319	223	17	389	389	NUM
ejpam-4319	223	18	388	388	NUM
ejpam-4319	223	19	figure	figure	NOUN
ejpam-4319	223	20	22	22	NUM
ejpam-4319	223	21	:	:	PUNCT
ejpam-4319	223	22	folding	fold	VERB
ejpam-4319	223	23	paper	paper	NOUN
ejpam-4319	223	24	in	in	ADP
ejpam-4319	223	25	case	case	NOUN
ejpam-4319	223	26	t	t	NOUN
ejpam-4319	223	27	=	=	SYM
ejpam-4319	223	28	t∗	t∗	PROPN
ejpam-4319	223	29	and	and	CCONJ
ejpam-4319	223	30	s	s	NOUN
ejpam-4319	223	31	=	=	ADJ
ejpam-4319	223	32	s∗.	s∗.	ADJ
ejpam-4319	223	33	figure	figure	NOUN
ejpam-4319	223	34	23	23	NUM
ejpam-4319	223	35	:	:	PUNCT
ejpam-4319	223	36	folding	fold	VERB
ejpam-4319	223	37	paper	paper	NOUN
ejpam-4319	223	38	in	in	ADP
ejpam-4319	223	39	case	case	NOUN
ejpam-4319	223	40	where	where	SCONJ
ejpam-4319	223	41	t	t	NOUN
ejpam-4319	223	42	<	<	X
ejpam-4319	223	43	t∗	t∗	PROPN
ejpam-4319	223	44	and	and	CCONJ
ejpam-4319	223	45	s	s	X
ejpam-4319	223	46	<	<	X
ejpam-4319	223	47	s∗.	s∗.	PROPN
ejpam-4319	223	48	wrap	wrap	PROPN
ejpam-4319	223	49	khanom	khanom	PROPN
ejpam-4319	223	50	saisai	saisai	PROPN
ejpam-4319	223	51	,	,	PUNCT
ejpam-4319	223	52	the	the	DET
ejpam-4319	223	53	tall	tall	ADJ
ejpam-4319	223	54	shape	shape	NOUN
ejpam-4319	223	55	required	require	VERB
ejpam-4319	223	56	to	to	ADP
ejpam-4319	223	57	tightly	tightly	ADV
ejpam-4319	223	58	wrap	wrap	NOUN
ejpam-4319	223	59	khanom	khanom	PROPN
ejpam-4319	223	60	saisai	saisai	PROPN
ejpam-4319	223	61	is	be	AUX
ejpam-4319	223	62	not	not	PART
ejpam-4319	223	63	obtained	obtain	VERB
ejpam-4319	223	64	.	.	PUNCT
ejpam-4319	224	1	therefore	therefore	ADV
ejpam-4319	224	2	,	,	PUNCT
ejpam-4319	224	3	it	it	PRON
ejpam-4319	224	4	is	be	AUX
ejpam-4319	224	5	necessary	necessary	ADJ
ejpam-4319	224	6	to	to	PART
ejpam-4319	224	7	cut	cut	VERB
ejpam-4319	224	8	the	the	DET
ejpam-4319	224	9	banana	banana	NOUN
ejpam-4319	224	10	leaves	leave	NOUN
ejpam-4319	224	11	in	in	ADP
ejpam-4319	224	12	the	the	DET
ejpam-4319	224	13	collision	collision	NOUN
ejpam-4319	224	14	.	.	PUNCT
ejpam-4319	225	1	thus	thus	ADV
ejpam-4319	225	2	,	,	PUNCT
ejpam-4319	225	3	the	the	DET
ejpam-4319	225	4	banana	banana	NOUN
ejpam-4319	225	5	leaves	leave	NOUN
ejpam-4319	225	6	that	that	PRON
ejpam-4319	225	7	are	be	AUX
ejpam-4319	225	8	wrapped	wrap	VERB
ejpam-4319	225	9	are	be	AUX
ejpam-4319	225	10	not	not	PART
ejpam-4319	225	11	rectangular	rectangular	ADJ
ejpam-4319	225	12	.	.	PUNCT
ejpam-4319	226	1	it	it	PRON
ejpam-4319	226	2	can	can	AUX
ejpam-4319	226	3	be	be	AUX
ejpam-4319	226	4	seen	see	VERB
ejpam-4319	226	5	that	that	SCONJ
ejpam-4319	226	6	wrapping	wrap	VERB
ejpam-4319	226	7	khanom	khanom	PROPN
ejpam-4319	226	8	saisai	saisai	PROPN
ejpam-4319	226	9	is	be	AUX
ejpam-4319	226	10	a	a	DET
ejpam-4319	226	11	form	form	NOUN
ejpam-4319	226	12	of	of	ADP
ejpam-4319	226	13	tall	tall	ADJ
ejpam-4319	226	14	,	,	PUNCT
ejpam-4319	226	15	encased	encased	ADJ
ejpam-4319	226	16	wrapping	wrapping	NOUN
ejpam-4319	226	17	,	,	PUNCT
ejpam-4319	226	18	corresponding	correspond	VERB
ejpam-4319	226	19	to	to	ADP
ejpam-4319	226	20	the	the	DET
ejpam-4319	226	21	definition	definition	NOUN
ejpam-4319	226	22	of	of	ADP
ejpam-4319	226	23	a	a	DET
ejpam-4319	226	24	tall	tall	ADJ
ejpam-4319	226	25	,	,	PUNCT
ejpam-4319	226	26	encased	encased	ADJ
ejpam-4319	226	27	wrapping	wrapping	NOUN
ejpam-4319	226	28	as	as	ADP
ejpam-4319	226	29	packaging	packaging	NOUN
ejpam-4319	226	30	.	.	PUNCT
ejpam-4319	227	1	figure	figure	NOUN
ejpam-4319	227	2	24	24	NUM
ejpam-4319	227	3	:	:	PUNCT
ejpam-4319	227	4	steamed	steam	VERB
ejpam-4319	227	5	flour	flour	NOUN
ejpam-4319	227	6	with	with	ADP
ejpam-4319	227	7	coconut	coconut	NOUN
ejpam-4319	227	8	filling	filling	NOUN
ejpam-4319	227	9	(	(	PUNCT
ejpam-4319	227	10	thai	thai	PROPN
ejpam-4319	227	11	dessert	dessert	NOUN
ejpam-4319	227	12	)	)	PUNCT
ejpam-4319	227	13	khanom	khanom	PROPN
ejpam-4319	227	14	saisai	saisai	PROPN
ejpam-4319	227	15	.	.	PUNCT
ejpam-4319	228	1	references	reference	NOUN
ejpam-4319	228	2	389	389	NUM
ejpam-4319	228	3	4	4	NUM
ejpam-4319	228	4	.	.	PUNCT
ejpam-4319	229	1	discussion	discussion	NOUN
ejpam-4319	229	2	this	this	DET
ejpam-4319	229	3	research	research	NOUN
ejpam-4319	229	4	may	may	AUX
ejpam-4319	229	5	be	be	AUX
ejpam-4319	229	6	applied	apply	VERB
ejpam-4319	229	7	to	to	ADP
ejpam-4319	229	8	the	the	DET
ejpam-4319	229	9	application	application	NOUN
ejpam-4319	229	10	of	of	ADP
ejpam-4319	229	11	khanom	khanom	PROPN
ejpam-4319	229	12	saisai	saisai	PROPN
ejpam-4319	229	13	to	to	PART
ejpam-4319	229	14	find	find	VERB
ejpam-4319	229	15	the	the	DET
ejpam-4319	229	16	smallest	small	ADJ
ejpam-4319	229	17	banana	banana	NOUN
ejpam-4319	229	18	leaves	leave	NOUN
ejpam-4319	229	19	as	as	ADP
ejpam-4319	229	20	packaging	packaging	NOUN
ejpam-4319	229	21	to	to	PART
ejpam-4319	229	22	help	help	VERB
ejpam-4319	229	23	reduce	reduce	VERB
ejpam-4319	229	24	business	business	NOUN
ejpam-4319	229	25	costs	cost	NOUN
ejpam-4319	229	26	.	.	PUNCT
ejpam-4319	230	1	our	our	PRON
ejpam-4319	230	2	further	further	ADJ
ejpam-4319	230	3	work	work	NOUN
ejpam-4319	230	4	may	may	AUX
ejpam-4319	230	5	be	be	AUX
ejpam-4319	230	6	considered	consider	VERB
ejpam-4319	230	7	in	in	ADP
ejpam-4319	230	8	origami	origami	NOUN
ejpam-4319	230	9	wrapping	wrap	VERB
ejpam-4319	230	10	with	with	ADP
ejpam-4319	230	11	an	an	DET
ejpam-4319	230	12	isosceles	isoscele	NOUN
ejpam-4319	230	13	triangle	triangle	NOUN
ejpam-4319	230	14	prism	prism	NOUN
ejpam-4319	230	15	.	.	PUNCT
ejpam-4319	231	1	acknowledgements	acknowledgement	NOUN
ejpam-4319	231	2	the	the	DET
ejpam-4319	231	3	authors	author	NOUN
ejpam-4319	231	4	would	would	AUX
ejpam-4319	231	5	like	like	VERB
ejpam-4319	231	6	to	to	PART
ejpam-4319	231	7	thank	thank	VERB
ejpam-4319	231	8	michael	michael	PROPN
ejpam-4319	231	9	jan	jan	PROPN
ejpam-4319	231	10	everts	everts	PROPN
ejpam-4319	231	11	,	,	PUNCT
ejpam-4319	231	12	thawanrut	thawanrut	NOUN
ejpam-4319	231	13	nacome	nacome	NOUN
ejpam-4319	231	14	,	,	PUNCT
ejpam-4319	231	15	juthamas	juthamas	PROPN
ejpam-4319	231	16	sangwisat	sangwisat	VERB
ejpam-4319	231	17	,	,	PUNCT
ejpam-4319	231	18	and	and	CCONJ
ejpam-4319	231	19	apinya	apinya	PROPN
ejpam-4319	231	20	chan	chan	PROPN
ejpam-4319	231	21	-	-	PUNCT
ejpam-4319	231	22	am	be	AUX
ejpam-4319	231	23	for	for	ADP
ejpam-4319	231	24	their	their	PRON
ejpam-4319	231	25	assistance	assistance	NOUN
ejpam-4319	231	26	.	.	PUNCT
ejpam-4319	232	1	this	this	DET
ejpam-4319	232	2	study	study	NOUN
ejpam-4319	232	3	was	be	AUX
ejpam-4319	232	4	supported	support	VERB
ejpam-4319	232	5	by	by	ADP
ejpam-4319	232	6	thammasat	thammasat	PROPN
ejpam-4319	232	7	university	university	PROPN
ejpam-4319	232	8	research	research	NOUN
ejpam-4319	232	9	fund	fund	NOUN
ejpam-4319	232	10	,	,	PUNCT
ejpam-4319	232	11	contract	contract	NOUN
ejpam-4319	232	12	no	no	INTJ
ejpam-4319	232	13	.	.	PUNCT
ejpam-4319	233	1	tuts	tut	NOUN
ejpam-4319	233	2	2/2564	2/2564	NUM
ejpam-4319	233	3	.	.	PUNCT
ejpam-4319	234	1	references	reference	NOUN
ejpam-4319	234	2	[	[	X
ejpam-4319	234	3	1	1	NUM
ejpam-4319	234	4	]	]	X
ejpam-4319	234	5	w	w	NOUN
ejpam-4319	234	6	asawadechsakdi	asawadechsakdi	PROPN
ejpam-4319	234	7	,	,	PUNCT
ejpam-4319	234	8	k	k	PROPN
ejpam-4319	234	9	a	a	DET
ejpam-4319	234	10	tolman	tolman	PROPN
ejpam-4319	234	11	,	,	PUNCT
ejpam-4319	234	12	and	and	CCONJ
ejpam-4319	234	13	y	y	PROPN
ejpam-4319	234	14	chavalkul	chavalkul	PROPN
ejpam-4319	234	15	.	.	PUNCT
ejpam-4319	235	1	the	the	DET
ejpam-4319	235	2	creation	creation	NOUN
ejpam-4319	235	3	of	of	ADP
ejpam-4319	235	4	single	single	ADJ
ejpam-4319	235	5	-	-	PUNCT
ejpam-4319	235	6	use	use	NOUN
ejpam-4319	235	7	packaging	packaging	NOUN
ejpam-4319	235	8	from	from	ADP
ejpam-4319	235	9	leaves	leave	NOUN
ejpam-4319	235	10	to	to	PART
ejpam-4319	235	11	reduce	reduce	VERB
ejpam-4319	235	12	plastic	plastic	ADJ
ejpam-4319	235	13	waste	waste	NOUN
ejpam-4319	235	14	in	in	ADP
ejpam-4319	235	15	thailand	thailand	PROPN
ejpam-4319	235	16	.	.	PUNCT
ejpam-4319	236	1	journal	journal	PROPN
ejpam-4319	236	2	of	of	ADP
ejpam-4319	236	3	urban	urban	PROPN
ejpam-4319	236	4	culture	culture	PROPN
ejpam-4319	236	5	research	research	NOUN
ejpam-4319	236	6	,	,	PUNCT
ejpam-4319	236	7	23:273–286	23:273–286	NUM
ejpam-4319	236	8	,	,	PUNCT
ejpam-4319	236	9	2021	2021	NUM
ejpam-4319	236	10	.	.	PUNCT
ejpam-4319	237	1	[	[	X
ejpam-4319	237	2	2	2	NUM
ejpam-4319	237	3	]	]	X
ejpam-4319	237	4	y	y	PROPN
ejpam-4319	237	5	m	m	PROPN
ejpam-4319	237	6	cui	cui	NOUN
ejpam-4319	237	7	and	and	CCONJ
ejpam-4319	237	8	x	x	NOUN
ejpam-4319	237	9	g	g	PROPN
ejpam-4319	237	10	ren	ren	PROPN
ejpam-4319	237	11	.	.	PUNCT
ejpam-4319	238	1	the	the	DET
ejpam-4319	238	2	innovative	innovative	ADJ
ejpam-4319	238	3	application	application	NOUN
ejpam-4319	238	4	studty	studty	NOUN
ejpam-4319	238	5	on	on	ADP
ejpam-4319	238	6	eco	eco	NOUN
ejpam-4319	238	7	-	-	PUNCT
ejpam-4319	238	8	packaging	packaging	NOUN
ejpam-4319	238	9	design	design	NOUN
ejpam-4319	238	10	and	and	CCONJ
ejpam-4319	238	11	materials	material	NOUN
ejpam-4319	238	12	.	.	PUNCT
ejpam-4319	239	1	matec	matec	ADJ
ejpam-4319	239	2	web	web	NOUN
ejpam-4319	239	3	of	of	ADP
ejpam-4319	239	4	conferences	conference	NOUN
ejpam-4319	239	5	,	,	PUNCT
ejpam-4319	239	6	63:1–4(03002	63:1–4(03002	NOUN
ejpam-4319	239	7	)	)	PUNCT
ejpam-4319	239	8	,	,	PUNCT
ejpam-4319	239	9	2016	2016	NUM
ejpam-4319	239	10	.	.	PUNCT
ejpam-4319	240	1	[	[	X
ejpam-4319	240	2	3	3	NUM
ejpam-4319	240	3	]	]	X
ejpam-4319	240	4	r	r	NOUN
ejpam-4319	240	5	j	j	PROPN
ejpam-4319	240	6	lang	lang	PROPN
ejpam-4319	240	7	,	,	PUNCT
ejpam-4319	240	8	k	k	PROPN
ejpam-4319	240	9	a	a	DET
ejpam-4319	240	10	tolman	tolman	PROPN
ejpam-4319	240	11	,	,	PUNCT
ejpam-4319	240	12	e	e	PROPN
ejpam-4319	240	13	b	b	PROPN
ejpam-4319	240	14	crampton	crampton	PROPN
ejpam-4319	240	15	,	,	PUNCT
ejpam-4319	240	16	s	s	PROPN
ejpam-4319	240	17	p	p	NOUN
ejpam-4319	240	18	magleby	magleby	ADV
ejpam-4319	240	19	,	,	PUNCT
ejpam-4319	240	20	and	and	CCONJ
ejpam-4319	240	21	l	l	NOUN
ejpam-4319	240	22	l	l	PROPN
ejpam-4319	240	23	howell	howell	PROPN
ejpam-4319	240	24	.	.	PUNCT
ejpam-4319	241	1	a	a	DET
ejpam-4319	241	2	review	review	NOUN
ejpam-4319	241	3	of	of	ADP
ejpam-4319	241	4	thickness	thickness	NOUN
ejpam-4319	241	5	-	-	PUNCT
ejpam-4319	241	6	accommodation	accommodation	NOUN
ejpam-4319	241	7	techniques	technique	NOUN
ejpam-4319	241	8	in	in	ADP
ejpam-4319	241	9	origami	origami	NOUN
ejpam-4319	241	10	-	-	PUNCT
ejpam-4319	241	11	inspired	inspire	VERB
ejpam-4319	241	12	engineering	engineering	NOUN
ejpam-4319	241	13	.	.	PUNCT
ejpam-4319	242	1	applied	apply	VERB
ejpam-4319	242	2	mechanics	mechanic	NOUN
ejpam-4319	242	3	reviews	review	NOUN
ejpam-4319	242	4	,	,	PUNCT
ejpam-4319	242	5	70(1):1–20	70(1):1–20	NUM
ejpam-4319	242	6	(	(	PUNCT
ejpam-4319	242	7	010805	010805	NUM
ejpam-4319	242	8	)	)	PUNCT
ejpam-4319	242	9	,	,	PUNCT
ejpam-4319	242	10	2018	2018	NUM
ejpam-4319	242	11	.	.	PUNCT
ejpam-4319	243	1	[	[	X
ejpam-4319	243	2	4	4	NUM
ejpam-4319	243	3	]	]	X
ejpam-4319	243	4	z	z	X
ejpam-4319	243	5	merali	merali	PROPN
ejpam-4319	243	6	.	.	PUNCT
ejpam-4319	244	1	origami	origami	PROPN
ejpam-4319	244	2	engineer	engineer	NOUN
ejpam-4319	244	3	:	:	PUNCT
ejpam-4319	244	4	flexes	flex	NOUN
ejpam-4319	244	5	to	to	PART
ejpam-4319	244	6	create	create	VERB
ejpam-4319	244	7	stronger	strong	ADJ
ejpam-4319	244	8	,	,	PUNCT
ejpam-4319	244	9	more	more	ADV
ejpam-4319	244	10	agile	agile	ADJ
ejpam-4319	244	11	materials	material	NOUN
ejpam-4319	244	12	.	.	PUNCT
ejpam-4319	245	1	science	science	NOUN
ejpam-4319	245	2	,	,	PUNCT
ejpam-4319	245	3	332(6036):1376–1377	332(6036):1376–1377	NUM
ejpam-4319	245	4	,	,	PUNCT
ejpam-4319	245	5	2011	2011	NUM
ejpam-4319	245	6	.	.	PUNCT
ejpam-4319	246	1	[	[	X
ejpam-4319	246	2	5	5	NUM
ejpam-4319	246	3	]	]	X
ejpam-4319	246	4	m	m	VERB
ejpam-4319	246	5	mustafa	mustafa	PROPN
ejpam-4319	246	6	,	,	PUNCT
ejpam-4319	246	7	s	s	PART
ejpam-4319	246	8	nagalingam	nagalingam	NOUN
ejpam-4319	246	9	,	,	PUNCT
ejpam-4319	246	10	j	j	PROPN
ejpam-4319	246	11	tye	tye	PROPN
ejpam-4319	246	12	,	,	PUNCT
ejpam-4319	246	13	a	a	DET
ejpam-4319	246	14	s	s	NOUN
ejpam-4319	246	15	h	h	NOUN
ejpam-4319	246	16	shafii	shafii	ADJ
ejpam-4319	246	17	,	,	PUNCT
ejpam-4319	246	18	and	and	CCONJ
ejpam-4319	246	19	j	j	PROPN
ejpam-4319	246	20	dolah	dolah	PROPN
ejpam-4319	246	21	.	.	PUNCT
ejpam-4319	247	1	looking	look	VERB
ejpam-4319	247	2	back	back	ADV
ejpam-4319	247	3	to	to	ADP
ejpam-4319	247	4	the	the	DET
ejpam-4319	247	5	past	past	NOUN
ejpam-4319	247	6	:	:	PUNCT
ejpam-4319	247	7	revival	revival	NOUN
ejpam-4319	247	8	of	of	ADP
ejpam-4319	247	9	traditional	traditional	ADJ
ejpam-4319	247	10	food	food	NOUN
ejpam-4319	247	11	packaging	packaging	NOUN
ejpam-4319	247	12	.	.	PUNCT
ejpam-4319	248	1	in	in	ADP
ejpam-4319	248	2	2012	2012	NUM
ejpam-4319	248	3	2nd	2nd	ADJ
ejpam-4319	248	4	regional	regional	ADJ
ejpam-4319	248	5	conference	conference	NOUN
ejpam-4319	248	6	on	on	ADP
ejpam-4319	248	7	local	local	ADJ
ejpam-4319	248	8	knowledge	knowledge	NOUN
ejpam-4319	248	9	(	(	PUNCT
ejpam-4319	248	10	kearifan	kearifan	NOUN
ejpam-4319	248	11	tempatan	tempatan	ADJ
ejpam-4319	248	12	)	)	PUNCT
ejpam-4319	248	13	,	,	PUNCT
ejpam-4319	248	14	15	15	NUM
ejpam-4319	248	15	-	-	SYM
ejpam-4319	248	16	16	16	NUM
ejpam-4319	248	17	october	october	PROPN
ejpam-4319	248	18	,	,	PUNCT
ejpam-4319	248	19	jerejak	jerejak	PROPN
ejpam-4319	248	20	island	island	PROPN
ejpam-4319	248	21	rainforest	rainforest	PROPN
ejpam-4319	248	22	resort	resort	NOUN
ejpam-4319	248	23	,	,	PUNCT
ejpam-4319	248	24	penang	penang	PROPN
ejpam-4319	248	25	,	,	PUNCT
ejpam-4319	248	26	pages	page	NOUN
ejpam-4319	248	27	1–17	1–17	PROPN
ejpam-4319	248	28	,	,	PUNCT
ejpam-4319	248	29	2012	2012	NUM
ejpam-4319	248	30	.	.	PUNCT
ejpam-4319	249	1	[	[	X
ejpam-4319	249	2	6	6	NUM
ejpam-4319	249	3	]	]	PUNCT
ejpam-4319	249	4	t	t	PROPN
ejpam-4319	249	5	nojima	nojima	PROPN
ejpam-4319	249	6	.	.	PUNCT
ejpam-4319	250	1	modelling	modelling	NOUN
ejpam-4319	250	2	of	of	ADP
ejpam-4319	250	3	folding	fold	VERB
ejpam-4319	250	4	patterns	pattern	NOUN
ejpam-4319	250	5	in	in	ADP
ejpam-4319	250	6	flat	flat	ADJ
ejpam-4319	250	7	membranes	membrane	NOUN
ejpam-4319	250	8	and	and	CCONJ
ejpam-4319	250	9	cylinders	cylinder	NOUN
ejpam-4319	250	10	by	by	ADP
ejpam-4319	250	11	using	use	VERB
ejpam-4319	250	12	origami	origami	NOUN
ejpam-4319	250	13	.	.	PUNCT
ejpam-4319	251	1	jsme	jsme	PROPN
ejpam-4319	251	2	international	international	PROPN
ejpam-4319	251	3	journal	journal	PROPN
ejpam-4319	251	4	series	series	PROPN
ejpam-4319	251	5	c	c	PROPN
ejpam-4319	251	6	mechanical	mechanical	PROPN
ejpam-4319	251	7	systems	system	NOUN
ejpam-4319	251	8	,	,	PUNCT
ejpam-4319	251	9	machine	machine	NOUN
ejpam-4319	251	10	elements	element	NOUN
ejpam-4319	251	11	and	and	CCONJ
ejpam-4319	251	12	manufacturing	manufacturing	NOUN
ejpam-4319	251	13	,	,	PUNCT
ejpam-4319	251	14	45(1):364–370	45(1):364–370	NOUN
ejpam-4319	251	15	,	,	PUNCT
ejpam-4319	251	16	1999	1999	NUM
ejpam-4319	251	17	.	.	PUNCT
ejpam-4319	252	1	[	[	X
ejpam-4319	252	2	7	7	X
ejpam-4319	252	3	]	]	X
ejpam-4319	252	4	j	j	PROPN
ejpam-4319	252	5	wu	wu	PROPN
ejpam-4319	252	6	.	.	PUNCT
ejpam-4319	253	1	folding	fold	VERB
ejpam-4319	253	2	paper	paper	NOUN
ejpam-4319	253	3	into	into	ADP
ejpam-4319	253	4	light	light	NOUN
ejpam-4319	253	5	:	:	PUNCT
ejpam-4319	253	6	new	new	ADJ
ejpam-4319	253	7	material	material	NOUN
ejpam-4319	253	8	,	,	PUNCT
ejpam-4319	253	9	form	form	NOUN
ejpam-4319	253	10	,	,	PUNCT
ejpam-4319	253	11	and	and	CCONJ
ejpam-4319	253	12	making	make	VERB
ejpam-4319	253	13	.	.	PUNCT
ejpam-4319	254	1	the	the	DET
ejpam-4319	254	2	international	international	ADJ
ejpam-4319	254	3	journal	journal	NOUN
ejpam-4319	254	4	of	of	ADP
ejpam-4319	254	5	designed	design	VERB
ejpam-4319	254	6	objects	object	NOUN
ejpam-4319	254	7	,	,	PUNCT
ejpam-4319	254	8	9(4):33–45	9(4):33–45	NUM
ejpam-4319	254	9	,	,	PUNCT
ejpam-4319	254	10	2015	2015	NUM
ejpam-4319	254	11	.	.	PUNCT