Eberhard-type theorems with two kinds of polygons
Combinatorics
2019-01-04 v1
Abstract
Eberhard-type theorems are statements about the realizability of a polytope (or more general polyhedral maps) given the valency of its vertices and sizes of its polygonal faces up to a linear linear degree of freedom. We present new theorems of Eberhard-type where we allow adding two kinds of polygons and one type of vertices. We also hint towards a full classification of these types of results.
Cite
@article{arxiv.1901.00768,
title = {Eberhard-type theorems with two kinds of polygons},
author = {Sebastian Manecke},
journal= {arXiv preprint arXiv:1901.00768},
year = {2019}
}
Comments
14 pages, 9 figures, Osaka Summer Workshop on Lattice Polytopes