An application of a theorem of alternatives to origami

Hidefumi Kawasaki

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)


    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 languageEnglish
    Pages (from-to)393-399
    Number of pages7
    JournalJournal of the Operations Research Society of Japan
    Issue number3
    Publication statusPublished - Jul 2017

    All Science Journal Classification (ASJC) codes

    • General Decision Sciences
    • Management Science and Operations Research


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