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On rigid origami II: Quadrilateral creased papers

Accepted version
Peer-reviewed

Type

Article

Change log

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.

Description

Keywords

rigid-foldable, folding, degree-4, Kokotsakis quadrilateral

Journal Title

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Conference Name

Journal ISSN

1364-5021
1471-2946

Volume Title

476

Publisher

The Royal Society

Rights

All rights reserved
Sponsorship
George and Lilian Schiff Foundation.