Algebraic Enumeration of Polypolyhedra

Author:

George Henderson-Walshe, Michael Langton, Jeanette Claire McLeod, Phillip Lawrence Wilson

Keyword:

Mathematics, Combinatorics, Combinatorics (math.CO)

journal:

date:

2023-10-05 16:00:00

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.

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