A Complete List of All Convex Polyhedra Made by Gluing Regular Pentagons
Computational Geometry
2020-07-06 v1
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.
Cite
@article{arxiv.2007.01753,
title = {A Complete List of All Convex Polyhedra Made by Gluing Regular Pentagons},
author = {Elena Arseneva and Stefan Langerman and Boris Zolotov},
journal= {arXiv preprint arXiv:2007.01753},
year = {2020}
}
Comments
16 pages, 15 figures. Presented at EGC 2019