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Über die Symmetriegruppen von regulärseitigen Polytopen

On the symmetry groups of regular faced polytopes

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Abstract

Convex polytopes are called regular faced, if all their facets are regular. It is known, that all regular faced 3-polytopes have a nontrivial symmetry group, and also alld-polytopes with centrally symmetric facets. Here it is shown, that there ecist in fact regular facedd-polytopes with trivial symmetry group, but only ford=4. The corresponding class of polytopes is studied.

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Literatur

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Authors and Affiliations

  1. Mathematisches Institut B, Universität Stuttgart, Pfaffenwaldring 57, D-7000, Stuttgart 80, Bundesrepublik Deutschland

    Gerd Blind

  2. Waldburgstrasse 88, D-7000, Stuttgart 80, Bundesrepublik Deutschland

    Roswitha Blind

Authors
  1. Gerd Blind
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  2. Roswitha Blind
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Blind, G., Blind, R. Über die Symmetriegruppen von regulärseitigen Polytopen. Monatshefte für Mathematik 108, 103–114 (1989). https://doi.org/10.1007/BF01308665

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  • DOI: https://doi.org/10.1007/BF01308665

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