arXivDaily arXiv每日学术速递 周一至周五更新
arXiv cs/0107024cs.CGcs.DM
收藏

枚举多边形和多面体之间的折叠和展开

Enumerating Foldings and Unfoldings between Polygons and Polytopes

Erik D. Demaine, Martin L. Demaine, Anna Lubiw, Joseph O'Rourke

摘要:

我们提出并回答了几个问题的方式来折叠多边形的多面体的数量,以及有多少多面体可以从一个多边形;和类似的问题展开多面体多边形。我们的答案大致是:指数地多,或者非指数地无限。

英文摘要:

We pose and answer several questions concerning the number of ways to fold a polygon to a polytope, and how many polytopes can be obtained from one polygon; and the analogous questions for unfolding polytopes to polygons. Our answers are, roughly: exponentially many, or nondenumerably infinite.

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。

↑