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On combinatorial and affine automorphisms of polytopes

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Abstract

We disprove the longstanding conjecture that every combinatorial automorphism of the boundary complex of a convex polytope in euclidean spaceE d can be realised by an affine transformation ofE d.

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References

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Hochschule Darmstadt, 6100, Darmstadt, FRG

    Jürgen Bokowski

  2. Abteilung Mathematik, Ruhr-Universität Bochum, 4630, Bochum 1, FRG

    Günter Ewald & Peter Kleinschmidt

Authors
  1. Jürgen Bokowski
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  2. Günter Ewald
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  3. Peter Kleinschmidt
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Bokowski, J., Ewald, G. & Kleinschmidt, P. On combinatorial and affine automorphisms of polytopes. Israel J. Math. 47, 123–130 (1984). https://doi.org/10.1007/BF02760511

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  • DOI: https://doi.org/10.1007/BF02760511

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