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

Published 3 Jul 2020 in cs.CG | (2007.01753v1)

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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