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arXiv · 1810.04625

An Edge Extrusion-Approach to Generate Extruded Miura-Ori and Its Double Tiling Origami Patterns

Kai Suto·Akito Adachi·Tomohiro Tachi·Yasushi Yamaguchi
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Abstract

This paper proposes a family of origami tessellations called extruded Miura-Ori, whose folded state lies between two parallel planes with some faces on the planes, potentially useful for folded core materials because of face bonding. An extruded Miura-Ori is obtained by cutting Miura-Ori apart along the edges and face diagonals before inserting the extrusion of the section edges. We compute the extrusion direction to obtain a valid extruded Miura-Ori. The extruded Miura-Ori usually has three valid states. We analyse the third state (final folded state) in depth to show that a continuous family of parameters can produce origami tessellations that can completely tile the top and bottom planes.

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Kai Suto, Akito Adachi, Tomohiro Tachi, Yasushi Yamaguchi. 2018-10-10. An Edge Extrusion-Approach to Generate Extruded Miura-Ori and Its Double Tiling Origami Patterns. https://arxiv.org/abs/1810.04625

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