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

Ken Yamamoto, Yoshihiro Yamazaki

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 1

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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