刚性折纸顶点：条件和强迫集
Rigid Origami Vertices: Conditions and Forcing Sets
摘要：
我们发展了一个内在的充要条件的单顶点折纸折痕模式能够刚性折叠。我们分类这样的模式的情况下，折痕是预先指定的山脉和山谷，以及在未分配的情况下。我们还说明了这一结果的效用，将其应用到新的概念，最小强制设置刚性折纸模型，这是最小的折痕，折叠时，将迫使所有其他折痕折叠在规定的方式。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
