Making the Cut: Lattice Kirigami Rules

Making the Cut: Lattice Kirigami Rules
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DOI:
10.1103/physrevlett.113.245502
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发表时间:
2014-12-11
影响因子:
8.6
通讯作者:
Kamien, Randall D.
Kamien, Randall D.
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Castle, Toen;Cho, Yigil;Kamien, Randall D.

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在这封信中,我们探索并开发了一套适用于剪切、粘贴和折叠蜂窝网格的简单规则。我们考虑远离零维高斯曲率源和一维平均曲率源的类折纸结构,并且我们的剪切和粘贴规则保持了晶格及其对偶晶格上的固有键长。我们发现,允许使用一组小规则,为探索和构建kirigami提供一个框架-折叠、剪切和粘贴纸边。
In this Letter 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 extrinsically 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.