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- W2021752624 abstract "Cyclic polytopes are characterized as simplicial polytopes satisfying Gale’s evenness condition (a combinatorial condition on facets relative to a fixed ordering of the vertices). Periodically-cyclic polytopes are polytopes for which certain subpolytopes are cyclic. Bisztriczky discovered a class of periodically-cyclic polytopes that also satisfy Gale’s evenness condition. The faces of these polytopes are braxtopes, a certain class of nonsimplicial polytopes studied by the authors. In this paper we prove that the periodically-cyclic Gale polytopes of Bisztriczky are exactly the polytopes that satisfy Gale’s evenness condition and are braxial (all faces are braxtopes). The existence of other periodically-cyclic Gale polytopes is open." @default.
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- W2021752624 date "2007-09-12" @default.
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- W2021752624 title "On Gale and braxial polytopes" @default.
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- W2021752624 doi "https://doi.org/10.1007/s00013-007-2163-x" @default.
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