Self-foldability of monohedral quadrilateral origami tessellations
classification
🧮 math.MG
keywords
self-foldablemonohedralorigamiquadrilateralself-foldabilitytilingsuniquelychicken
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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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