On Rigid Origami II: Quadrilateral Creased Papers

Zeyuan He; Simon D. Guest

doi:10.1098/rspa.2020.0020

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arXiv · 1804.06483

On Rigid Origami II: Quadrilateral Creased Papers

Zeyuan He·Simon D. Guest

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Abstract

Miura-ori is well-known for its capability of flatly folding a sheet of paper through a tessellated crease pattern made of repeating parallelograms. Many potential applications have been based on the Miura-ori and its primary variations. Here we are considering how to generalize the Miura-ori: what is the collection of rigid-foldable creased papers with a similar quadrilateral crease pattern as the Miura-ori? This paper reports some progress. We find some new variations of Miura-ori with less symmetry than the known rigid-foldable quadrilateral meshes. They are not necessarily developable or flat-foldable, and still only have single degree of freedom in their rigid folding motion. This article presents a classification of the new variations we discovered and explains the methods in detail.

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Zeyuan He, Simon D. Guest. 2020-04-08. On Rigid Origami II: Quadrilateral Creased Papers. https://doi.org/10.1098/rspa.2020.0020

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