arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.01753cs.CG
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正五边形胶合凸多面体全列表

A Complete List of All Convex Polyhedra Made by Gluing Regular Pentagons

Elena Arseneva, Stefan Langerman, Boris Zolotov

摘要:

我们给出了所有凸多面体的完整描述,这些凸多面体的表面可以由几个全等正五边形通过边对边折叠和胶合来构造。我们的方法确定的图形结构的多面体从胶合是独立的利益,并可以用于其他类似的设置。

英文摘要:

We give a complete description of all convex polyhedra whose surface can be constructed from several congruent regular pentagons by folding and gluing them edge to edge. Our method of determining the graph structure of the polyhedra from a gluing is of independent interest and can be used in other similar settings.

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。

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