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A construction for projectively unique polytopes

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Abstract

A method for constructing projectively unique polytopes with many vertices is described. The method makes use of the properties of Gale diagrams.

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Bibliography

  1. Grünbaum, B.: Convex Polytopes, J. Wiley and Sons, London-New York-Sydney, 1967.

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  2. McMullen, P. and Shephard, G. C.: ‘Diagrams for Centrally Symmetric Polytopes’, Mathematika 15 (1968), 123–138.

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  3. McMullen, P. and Shephard, G. C.: Convex Polytopes and the Upper Bound Conjecture, London Mathematical Society Lecture Notes, Volume 3, Cambridge 1971.

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Authors and Affiliations

  1. Hebrew University of Jerusalem, Israel

    M. A. Perles

  2. University of East Anglia, England

    G. C. Shephard

Authors
  1. M. A. Perles
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  2. G. C. Shephard
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Perles, M.A., Shephard, G.C. A construction for projectively unique polytopes. Geom Dedicata 3, 357–363 (1974). https://doi.org/10.1007/BF00181326

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  • DOI: https://doi.org/10.1007/BF00181326

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