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Designing Symmetric Derivatives of the Miura-ori

In: Advances in Architectural Geometry 2014

Author

Listed:
  • Pooya Sareh

    (University of Cambridge, Department of Engineering)

  • Simon D. Guest

    (University of Cambridge, Department of Engineering)

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.

Suggested Citation

  • Pooya Sareh & Simon D. Guest, 2015. "Designing Symmetric Derivatives of the Miura-ori," Springer Books, in: Philippe Block & Jan Knippers & Niloy J. Mitra & Wenping Wang (ed.), Advances in Architectural Geometry 2014, edition 127, pages 233-241, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-11418-7_15
    DOI: 10.1007/978-3-319-11418-7_15
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