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arXiv · 2007.01753

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

Elena Arseneva·Stefan Langerman·Boris Zolotov
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Abstract

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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Elena Arseneva, Stefan Langerman, Boris Zolotov. 2020-07-03. A Complete List of All Convex Polyhedra Made by Gluing Regular Pentagons. https://arxiv.org/abs/2007.01753

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