论刚性折纸I：具有直线折痕的逐段平面纸
On Rigid Origami I: Piecewise-planar Paper with Straight-line Creases
摘要：
我们开发了一个刚性折纸的理论框架，并展示了这个框架可以用来连接刚性折纸和同源领域，如刚性理论，图论，链接折叠和计算机科学的结果。首先给出了刚性折纸中重要概念的定义，然后重点讨论了如何描述折痕纸的构形空间。使用代数，几何和数值方法分析的形状和0-连通性的配置空间，从每种方法的关键结果收集和审查。
英文摘要：
We develop a theoretical framework for rigid origami, and show how this framework can be used to connect rigid origami and results from cognate areas, such as the rigidity theory, graph theory, linkage folding and computer science. First, we give definitions on important concepts in rigid origami, then focus on how to describe the configuration space of a creased paper. The shape and 0-connectedness of the configuration space are analyzed using algebraic, geometric and numeric methods, where the key results from each method are gathered and reviewed.
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。
