Making the Cut: Lattice Kirigami Rules
Soft Condensed Matter
2015-06-22 v1 Mesoscale and Nanoscale Physics
Materials Science
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.
Keywords
Cite
@article{arxiv.1408.6480,
title = {Making the Cut: Lattice Kirigami Rules},
author = {Toen Castle and Yigil Cho and Xingting Gong and Euiyeon Jung and Daniel M. Sussman and Shu Yang and Randall D. Kamien},
journal= {arXiv preprint arXiv:1408.6480},
year = {2015}
}
Comments
5 pages, 5 figures