Group-separation effect in cell-size distribution of origami crease patterns

Ken Yamamoto, Yoshihiro Yamazaki

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    Abstract

    Some statistical properties of origami (the art of paper folding) are investigated. In a crease pattern of an origami work, a paper sheet is divided into many "cells" surrounded by creases. We compute the cell-size distributions of four origami works and find that they are described by the superposition of lognormal distributions with different averages and variances. This lognormal behavior can be explained by a successive-folding process that works as a multiplicative effect. To confirm this idea, we introduce a numerical model by only incorporating a successive-folding process, and discuss its analytical properties. Moreover, we show that a group-separation structure is also essential in origami, which is different from pure crumpling.

    Original languageEnglish
    Article number044803
    JournalJournal of the Physical Society of Japan
    Volume82
    Issue number4
    DOIs
    Publication statusPublished - 2013 Apr

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    Keywords

    • Fragmentation
    • Group-separation effect
    • Lognormal distribution
    • Origami
    • Successive folding

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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