On Coxeter's regular skew polyhedra (Q1079191)
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scientific article; zbMATH DE number 3962624
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Coxeter's regular skew polyhedra |
scientific article; zbMATH DE number 3962624 |
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On Coxeter's regular skew polyhedra (English)
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1986
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The four regular skew polyhedra \(\{\) 4,6\(| 3\}\), \(\{\) 6,4\(| 3\}\), \(\{\) 4,8\(| 3\}\) and \(\{\) 8,4\(| 3\}\) in \({\mathbb{E}}^ 4\) were first considered by \textit{H. S. M. Coxeter} [Proc. Lond. Math. Soc., II. Ser. 43, 33-62 (1937; Zbl 0016.27101)]. The present authors describe symmetric embeddings of these polyhedra in \({\mathbb{E}}^ 3\), and also discuss their regularity.
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automorphism
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polyhedral realization
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regular skew polyhedra
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symmetric embeddings
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