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Polytopes with centrally symmetric facets

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Abstract

A new and conceptually simpler proof is given of the theorem of A. D. Aleksandrov and G. C. Shephard, that ad-polytope (d≧3), all of whose facets are centrally symmetric, is itself centrally symmetric.

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References

  1. A. D. Aleksandrov,A theorem on convex polyhedra, Trudy Mat. Inst. Steklov4 (1933), 87 (Russian).

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Authors and Affiliations

  1. University College London, Gower Street, WC1E 6BT, London, England

    P. McMullen

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  1. P. McMullen
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McMullen, P. Polytopes with centrally symmetric facets. Israel J. Math. 23, 337–338 (1976). https://doi.org/10.1007/BF02761811

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  • DOI: https://doi.org/10.1007/BF02761811

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