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arXiv · 1408.6480

Making the Cut: Lattice Kirigami Rules

Toen Castle·Yigil Cho·Xingting Gong·Euiyeon Jung·Daniel M. Sussman·Shu Yang·Randall D. Kamien
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Abstract

In this paper we explore and develop a simple set of rules that apply to cutting, pasting, and folding honeycomb lattices. We consider origami-like structures that are extinsically flat away from zero-dimensional sources of Gaussian curvature and one-dimensional sources of mean curvature, and our cutting and pasting rules maintain the intrinsic bond lengths on both the lattice and its dual lattice. We find that a small set of rules is allowed providing a framework for exploring and building kirigami -- folding, cutting, and pasting the edges of paper.

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Toen Castle, Yigil Cho, Xingting Gong, Euiyeon Jung, Daniel M. Sussman, Shu Yang, Randall D. Kamien. 2014-08-27. Making the Cut: Lattice Kirigami Rules. https://doi.org/10.1103/physrevlett.113.245502

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