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On Rigid Origami II: Quadrilateral Creased Papers

He, Z and Guest, SD On Rigid Origami II: Quadrilateral Creased Papers. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. ISSN 1364-5021 (Unpublished)

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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 Miuraori: 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

Item Type: Article
Uncontrolled Keywords: math.MG math.MG cond-mat.soft
Subjects: UNSPECIFIED
Divisions: Div D > Structures
Depositing User: Cron Job
Date Deposited: 02 May 2018 20:05
Last Modified: 13 Apr 2021 08:47
DOI: