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Puzzles and polytope isomorphisms

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Abstract

We show that an isomorphism between the graphs of two simple polytopes of arbitrary dimension can always be extended to an isomorphism between the polytopes themselves. It has been convenient to study the dual situation, involving what we like to call the puzzle of a simplicial polytope.

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Authors and Affiliations

  1. Fakultät für Mathematik und Informatik, Universität Stuttgart, Pfaffenwaldring 57, D-7000, Stuttgart 80, West Germany

    Roswitha Blind & Peter Mani-Levitska

  2. Asterweg 18, CH-3004, Bern, Switzerland

    Roswitha Blind & Peter Mani-Levitska

Authors
  1. Roswitha Blind
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  2. Peter Mani-Levitska
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Dedicated to Professor Otto Haupt with best wishes on his 100th birthday.

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Blind, R., Mani-Levitska, P. Puzzles and polytope isomorphisms. Aeq. Math. 34, 287–297 (1987). https://doi.org/10.1007/BF01830678

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  • DOI: https://doi.org/10.1007/BF01830678

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