An application of a theorem of alternatives to origami

Hidefumi Kawasaki

doi:10.15807/jorsj.60.393

An application of a theorem of alternatives to origami

Hidefumi Kawasaki

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Theorems of alternatives are useful mathematical tools in optimization. Their objects are pairs of linear systems. Folding a paper with a crease defines a linear inequality in R2. So one gets convex polygons by folding a paper many times. This paper provides a new perspective of duality to origami mathematics. We show that Gale's theorem of alternatives is useful for the study of twist fold.

Original language	English
Pages (from-to)	393-399
Number of pages	7
Journal	Journal of the Operations Research Society of Japan
Volume	60
Issue number	3
DOIs	https://doi.org/10.15807/jorsj.60.393
Publication status	Published - Jul 2017

All Science Journal Classification (ASJC) codes

Decision Sciences(all)
Management Science and Operations Research

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10.15807/jorsj.60.393

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abstract = "Theorems of alternatives are useful mathematical tools in optimization. Their objects are pairs of linear systems. Folding a paper with a crease defines a linear inequality in R2. So one gets convex polygons by folding a paper many times. This paper provides a new perspective of duality to origami mathematics. We show that Gale's theorem of alternatives is useful for the study of twist fold.",

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An application of a theorem of alternatives to origami

Abstract

All Science Journal Classification (ASJC) codes

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