Designing Symmetric Derivatives of the Miura-ori

Pooya Sareh () and Simon D. Guest ()
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Pooya Sareh: University of Cambridge, Department of Engineering
Simon D. Guest: University of Cambridge, Department of Engineering

A chapter in Advances in Architectural Geometry 2014, 2015, pp 233-241 from Springer

Abstract: Abstract The Miura fold pattern, or the Miura-ori, is a flat-foldable origami tessellation with a wide range of engineering applications. In particular, the Miura-ori has been applied to the folding of deployable structures for various architectural applications, e.g. folding roofs and shelters. In recent years, researchers have proposed variations on the Miura-ori which change both geometry and functionality of the pattern. We introduce a framework for the symmetric generalisation of the Miura-ori. We study the Miura crease pattern as a ‘pmg’ wallpaper pattern. 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 to systematically design a variety of novel patterns, through appropriate design variations on the original pattern.

Keywords: Symmetry Element; Fold Pattern; Architectural Application; Convex Quadrilateral; Deployable Structure (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11418-7_15

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DOI: 10.1007/978-3-319-11418-7_15

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