Algebraic Enumeration of Polypolyhedra
Combinatorics
2024-10-22 v1
Abstract
Polypolyhedra are edge-transitive compounds of polyhedra. In this paper we use group theory to determine the number of distinct polypolyhedra whose symmetry group is any given finite irreducible Coxeter group. We apply this result in order to enumerate the 3-dimensional polypolyhedra.
Keywords
Cite
@article{arxiv.2310.04473,
title = {Algebraic Enumeration of Polypolyhedra},
author = {George Henderson-Walshe and Michael Langton and Jeanette Claire McLeod and Phillip Lawrence Wilson},
journal= {arXiv preprint arXiv:2310.04473},
year = {2024}
}
Comments
24 pages, 8 tables