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Lattice 3-Polytopes with Six Lattice Points

Abstract: We completely classify lattice 3-polytopes with six lattice points, modulo unimodular equivalence. We give explicit coordinates for representatives of each, together with other invariants, such as their oriented matroid (or order type) and volume vector. There are infinitely many of width one, 74 of width two, two of width three, and none of larger width. Those of width one lie, in terms of their oriented matroid, in eight infinite classes and 12 individual polytopes.

 Fuente: SIAM J. Discrete Math., 30(2), 687-717

 Editorial: Society for Industrial and Applied Mathematics

 Año de publicación: 2016

 Nº de páginas: 31

 Tipo de publicación: Artículo de Revista

 DOI: 10.1137/15M1014462

 ISSN: 0895-4801,1095-7146

 Proyecto español: BES-2012-058920

 Url de la publicación: https://doi.org/10.1137/15M1014462