On polyhedra with transitivity properties (Q1079192)
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scientific article; zbMATH DE number 3962625
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On polyhedra with transitivity properties |
scientific article; zbMATH DE number 3962625 |
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On polyhedra with transitivity properties (English)
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1986
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\textit{B. Grünbaum} and \textit{G. C. Shephard} [C. R. Math. Acad. Sci., Soc. R. Can. 6, 61-66 (1984; Zbl 0528.52009)] have shown that there is no polyhedron of positive genus in \({\mathbb{E}}^ 3\) whose symmetry group acts transitively on its faces. However, by slightly generalizing the definition to allow ''inside-out'' symmetries, the present author does produce some examples, which he calls platonohedra.
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automorphism group
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face-transitivity
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polyhedron
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