Über die Symmetriegruppen von regulärseitigen Polytopen |
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| Authors: | Gerd Blind Roswitha Blind |
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| Institution: | (1) Mathematisches Institut B, Universität Stuttgart, Pfaffenwaldring 57, D-7000 Stuttgart 80, Bundesrepublik Deutschland;(2) Waldburgstrasse 88, D-7000 Stuttgart 80, Bundesrepublik Deutschland |
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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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