Group-Separation Effect in Cell-Size Distribution of Origami Crease Patterns
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概要
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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.
- 2013-04-15
著者
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Yamazaki Yoshihiro
Department Of Internal Medicine Kokura Memorial Hospital
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Yamamoto Ken
Department Of Anesthesiology And Intensive Care Medicine Graduate School Of Medical Science Kanazawa
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Yamazaki Yoshihiro
Department of Physics, School of Advanced Science and Engineering, Waseda University, Shinjuku, Tokyo 169-8555, Japan
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