Design of non-isomorphic symmetric descendants of the Miura-ori. (30th June 2015)

• Record Type: Journal Article
• Authors: Sareh, Pooya; Guest, Simon D
• Is Part Of: Smart materials and structures. Volume 24:Number 8(2015:Aug.)
• Publication Date: 2015-06-30
• Subjects: origami -- the Miura-ori -- flat-foldability -- symmetry -- wallpaper groups; Smart materials -- Periodicals; Strucural design -- Periodicals; 620.11
• DOI: 10.1088/0964-1726/24/8/085002
• Languages: English
• ISSNs: 0964-1726

Abstract

Abstract: The Miura fold pattern, or the Miura-ori, is a flat-foldable origami pattern with various applications in engineering and architecture. In addition to free-form variations, scholars have proposed a number of symmetric derivatives for this classic fold pattern over recent years. In a previous work, the authors of this paper studied isomorphic variations on the Miura-ori which led to the development of an 'isomorphic family' for this fold pattern. In this paper, we study non-isomorphic variations on the Miura-ori in order to develop a 'non-isomorphic family' for this pattern. Again we start with the Miura-ori, but reduce the symmetry by migrating from the original symmetry group to its subgroups, which may also include the enlargement of its unit cell. We systematically design and classify the non-isomorphic symmetric descendants of the Miura-ori which are either globally planar, or globally curved, flat-foldable tessellations.