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Construction theorems for polytopes

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Abstract

Certain construction theorems are represented, which facilitate an inductive combinatorial construction of polytopes. That is, applying the constructions to ad-polytope withn vertices, given combinatorially, one gets many combinatoriald-polytopes—and polytopes only—withn+1 vertices. The constructions are strong enough to yield from the 4-simplex all the 1330 4-polytopes with up to 8 vertices.

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Authors and Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva, Israel

    Amos Altshuler & Ido Shemer

  2. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Amos Altshuler & Ido Shemer

Authors
  1. Amos Altshuler
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  2. Ido Shemer
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Altshuler, A., Shemer, I. Construction theorems for polytopes. Israel J. Math. 47, 99–110 (1984). https://doi.org/10.1007/BF02760509

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  • DOI: https://doi.org/10.1007/BF02760509

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