Algebraic Enumeration of Polypolyhedra
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909355058659328 |
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| author | Henderson-Walshe, George Langton, Michael McLeod, Jeanette Claire Wilson, Phillip Lawrence |
| author_facet | Henderson-Walshe, George Langton, Michael McLeod, Jeanette Claire Wilson, Phillip Lawrence |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04473 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Algebraic Enumeration of Polypolyhedra Henderson-Walshe, George Langton, Michael McLeod, Jeanette Claire Wilson, Phillip Lawrence Combinatorics 51F15, 20F55 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. |
| title | Algebraic Enumeration of Polypolyhedra |
| topic | Combinatorics 51F15, 20F55 |
| url | https://arxiv.org/abs/2310.04473 |