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Konvexe Polytope mit regulären Facetten im ℝn (n≥4)

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Contributions to Geometry

Zusammenfassung

Das Problem, im ℝ3 alle konvexen Polyeder mit regulären Seiten zu bestimmen, wurde in [6] gelöst: Außer den ∞ vielen Prismen und Antiprismen gibt es genau 110 solche Polyeder.

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Literatur

  1. R. Blind: Konvexe Polytope mit kongruenten regulären (n−1)-Seiten im ℝn (n≥4), Comment. Math. HeIv. 54 (1979), 304–308.

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  2. H.S.M. Coxeter: Regular Polytopes, New York 1973.

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  3. T. Gosset: On the regular and semiregular figures in space of n dimensions. Mess. Math. 29 (1900), 43–48.

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  4. B. Grünbaum: Convex Polytopes. London, New York, Sydney 1967.

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  5. G.C. Shephard: Angle deficiencies of convex polytopes. J. London Math. Soc. 43 (1968), 325–336.

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  6. V.A. Zalgaller: Convex polyhedra with regular faces. Seminars in Mathematics, V.A. Steklov Mathematical Institute, Leningrad, Vol. 2.; Consultants Bureau, New York 1969.

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Author information

Authors and Affiliations

  1. Math. Institut, Universität Stuttgart, Pfaffenwaldring 57, D-7000, Stuttgart 80, Deutschland

    Roswitha Blind

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  1. Roswitha Blind
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Editor information

Editors and Affiliations

  1. University of Siegen, Siegen, Deutschland

    Jürgen Tölke  & Jörg M. Wills  & 

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© 1979 Springer Basel AG

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Blind, R. (1979). Konvexe Polytope mit regulären Facetten im ℝn (n≥4). In: Tölke, J., Wills, J.M. (eds) Contributions to Geometry. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5765-9_10

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  • DOI: https://doi.org/10.1007/978-3-0348-5765-9_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1048-6

  • Online ISBN: 978-3-0348-5765-9

  • eBook Packages: Springer Book Archive

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