Algebraic Enumeration of Polypolyhedra

George Henderson-Walshe; Michael Langton; Jeanette McLeod; Phillip Wilson

doi:10.46787/pump.v7i0.3936

Algebraic Enumeration of Polypolyhedra

Authors

George Henderson-Walshe University of Canterbury
Michael Langton University of Canterbury
Jeanette McLeod University of Canterbury and Te Pūnaha Matatini https://orcid.org/0000-0003-1729-5100
Phil Wilson University of Canterbury and Te Pūnaha Matatini https://orcid.org/0000-0002-4563-9399

DOI:

https://doi.org/10.46787/pump.v7i0.3936

Keywords:

polypolyhedra; Coxeter groups

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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Published

2024-10-20

How to Cite

Henderson-Walshe, G., Langton, M., McLeod, J., & Wilson, P. (2024). Algebraic Enumeration of Polypolyhedra. The PUMP Journal of Undergraduate Research, 7, 207–230. https://doi.org/10.46787/pump.v7i0.3936

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Issue

Vol. 7 (2024): PUMP Journal of Undergraduate Research

Section

Articles

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