Self-Dual Regular 4-Polytopes and Their Petrie-Coxeter-Polyhedra |
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| Authors: | P McMullen E Schulte |
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| Institution: | 1. Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, England
2. Fachbereich Mathematik, Universit?t Dortmund, Postfach 50 05 00, D-4600, Dortmund, West Germany
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| Abstract: | Coxeter’s regular skew polyhedra in euclidean 4-space IE4 are intimately related to the self-dual regular 4-polytopes. The same holds for two of the three Petrie-Coxeter-polyhedra and the (self-dual) cubical tessellation in IE3. In this paper we discuss the combinatorial Petrie-Coxeter-polyhedra associated with the self-dual regular 4-incidence-polytopes. |
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