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Die konvexen Polytope im ℝ4, bei denen alle Facetten reguläre Tetraeder sind

All convex polytopes in ℝ4 the factes of which are regular tetrahedra

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Abstract

All Convex Polytopes in ℝ 4 the Facets of Which Are Regular Tetrahedra. Continuing in ℝn (n≥4) the study of convex polytopes the facets of which are regular, it is proved: Regular polytopes and the two bipyramids over the tetrahedron and the icosahedron are the only convex polytopes in ℝ4 the facets of which are regular tetrahedra.

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Literatur

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Authors and Affiliations

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

    G. Blind

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

    R. Blind

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  1. G. Blind
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  2. R. Blind
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Blind, G., Blind, R. Die konvexen Polytope im ℝ4, bei denen alle Facetten reguläre Tetraeder sind. Monatshefte für Mathematik 89, 87–93 (1980). https://doi.org/10.1007/BF01476586

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  • DOI: https://doi.org/10.1007/BF01476586

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