%0 Journal Article
%T Making the Cut: Lattice Kirigami Rules
%A Toen Castle
%A Yigil Cho
%A Xingting Gong
%A Euiyeon Jung
%A Daniel M. Sussman
%A Shu Yang
%A Randall D. Kamien
%J Physics
%D 2014
%I arXiv
%R 10.1103/PhysRevLett.113.245502
%X 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.
%U http://arxiv.org/abs/1408.6480v1