A Framework for the Symmetric Generalisation of the Miura-ori

Sareh, Pooya ORCID: 0000-0003-1836-2598 and Guest, Simon D (2015) A Framework for the Symmetric Generalisation of the Miura-ori. International Journal of Space Structures, 30 (2). pp. 141-152.

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Abstract

<jats:p> The Miura fold pattern, or the Miura-ori, is a flat-foldable origami tessellation which has been applied to the folding of deployable structures for various engineering and architectural applications. In recent years, researchers have proposed systematic (see, e.g., [1] or [2]), and also free-form [3], variations on the Miura pattern. </jats:p><jats:p> This paper develops a geometric framework for the symmetric generalisation of the Miura-ori while preserving the ‘stacking while folding’ behaviour of the pattern. We present a number of novel concepts and definitions which help us apply systematic variations on the original pattern. We study the Miura crease pattern as a pmg wallpaper pattern which is one of the seventeen distinct wallpaper groups. We reduce the symmetry of the Miura-ori to obtain new patterns while preserving the flat-foldability condition at each node. We conclude that we are able to use the Miura-ori, which is a globally planar pattern in its partially folded states, to systematically design either ‘globally planar’ or ‘globally curved’ patterns, through appropriate design variations on the original pattern. </jats:p>

Item Type:	Article
Depositing User:	Symplectic Admin
Date Deposited:	26 Oct 2018 10:37
Last Modified:	19 Jan 2023 01:13
DOI:	10.1260/0266-3511.30.2.141
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3028013