Quotient polytopes of cyclic polytopes. I: Structure and characterization

DOI10.1007/BF02937351zbMath0469.52003MaRDI QIDQ1157016

Amos Altshuler, Micha A. Perles

Publication date: 1980

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

cyclic polytopesface latticeGale diagrams

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Polytopes and polyhedra (52Bxx)

Related Items

A lower bound theorem for centrally symmetric simplicial polytopes, Rigidity and the lower bound theorem. I, Neighborly 6-polytopes with 10 vertices, Almost cyclic polytopes, Hadwiger's covering conjecture and low dimensional dual cyclic polytopes, Diagonals of convex polytopes, Generating Combinatorial Complexes of Polyhedral Type, Quotient polytopes of cyclic polytopes. II: Stability of the f-vector and the k-skeleton, Construction theorems for polytopes

Cites Work

• The classification of simplicial 3-spheres with nine vertices into polytopes and nonpolytopes
• A theorem on cyclic polytopes
• An enumeration of simplicial 4-polytopes with 8 vertices
• The maximum numbers of faces of a convex polytope
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