Rigid origami vertices: conditions and forcing sets
Rigid origami vertices: conditions and forcing sets
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DOI：
10.20382/jocg.v7i1a9
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发表时间：
2015-07
期刊：
影响因子：
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通讯作者：
Zachary Abel;Jason H. Cantarella;E. Demaine;D. Eppstein;Thomas C. Hull;Jason S. Ku;R. Lang;Tomohiro Tachi
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文献类型：
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作者：
Zachary Abel;Jason H. Cantarella;E. Demaine;D. Eppstein;Thomas C. Hull;Jason S. Ku;R. Lang;Tomohiro Tachi
我们开发了单顶点折纸折痕图案能够刚性折叠的内在充分必要条件。我们在折痕被预先指定为山脉和山谷的情况以及未指定的情况下对此类图案进行分类。我们还通过将其应用于刚性折纸模型的最小力集的新概念来说明该结果的实用性，这是最小的折痕集合，在折叠时，将迫使所有其他折痕以规定的方式折叠。
We develop an intrinsic necessary and sufficient condition for single-vertex origami crease patterns to be able to fold rigidly. We classify such patterns in the case where the creases are pre-assigned to be mountains and valleys as well as in the unassigned case. We also illustrate the utility of this result by applying it to the new concept of minimal forcing sets for rigid origami models, which are the smallest collection of creases that, when folded, will force all the other creases to fold in a prescribed way.