An application of a theorem of alternatives to origami

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)393-399
ページ数7
ジャーナルJournal of the Operations Research Society of Japan
60
3
DOI
出版ステータス出版済み - 7 2017

All Science Journal Classification (ASJC) codes

  • Decision Sciences(all)
  • Management Science and Operations Research

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