论文标题

通过粘合常规五角大族制成的所有凸Polyhedra的完整列表

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

论文作者

Arseneva, Elena, Langerman, Stefan, Zolotov, Boris

论文摘要

我们提供了所有凸多面体的完整描述,可以通过将它们的边缘折叠并将边缘粘合到边缘,从而从几个一致的常规五角大州构建表面。我们从胶合中确定多面体的图形结构的方法是独立的,可以在其他类似的设置中使用。

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.

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