Classification of tight regular polyhedra
Combinatorics
2016-04-12 v2
Abstract
A regular polyhedron of type {p, q} has at least 2pq flags, and it is called tight if it has exactly 2pq flags. The values of p and q for which there exist tight orientably regular polyhedra were previously known. We determine for which values of p and q there is a tight non-orientably regular polyhedron of type {p, q}. Furthermore, we completely classify tight regular polyhedra in terms of their automorphism groups.
Keywords
Cite
@article{arxiv.1408.6703,
title = {Classification of tight regular polyhedra},
author = {Gabe Cunningham and Daniel Pellicer},
journal= {arXiv preprint arXiv:1408.6703},
year = {2016}
}