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arXiv · 1809.04243

Self-foldability of monohedral quadrilateral origami tessellations

Thomas C. Hull·Tomohiro Tachi
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Abstract

Using a mathematical model for self-foldability of rigid origami, we determine which monohedral quadrilateral tilings of the plane are uniquely self-foldable. In particular, the Miura-ori and Chicken Wire patterns are not self-foldable under our definition, but such tilings that are rotationally-symmetric about the midpoints of the tile are uniquely self-foldable.

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Thomas C. Hull, Tomohiro Tachi. 2018-09-12. Self-foldability of monohedral quadrilateral origami tessellations. https://arxiv.org/abs/1809.04243

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