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The largest projections of regular polytopes

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Abstract

The projections of the regularn-dimensional simplex and crosspolytope intoR k with the largestk-volume are determined here for the casesk=2,n≧2 andk=3, 4≦n≦6. The proofs involve a combination of exterior algebra and computer gradient methods.

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Authors and Affiliations

  1. Department of Mathematics, Western Washington University, 98225, Bellingham, WA, USA

    P. Filliman

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  1. P. Filliman
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Filliman, P. The largest projections of regular polytopes. Israel J. Math. 64, 207–228 (1988). https://doi.org/10.1007/BF02787224

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  • DOI: https://doi.org/10.1007/BF02787224

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