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

2020/07/03 by Arseneva, Elena, Langerman, Stefan, Zolotov, Boris
#68U05 #Computational Geometry (cs.CG) #FOS: Computer and information sciences

paper · doi:10.48550/arxiv.2007.01753

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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