Arbitrarily large neighborly families of symmetric convex polytopes

DOI10.1007/BF00164398zbMath0591.52007MaRDI QIDQ1074868

Joseph Zaks

Publication date: 1986

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

\(E^ d\)neighborly families of centrally symmetric convex d-polytopes inneighborly families of centrally symmetric convex d-polytopes in \(E^ d\)

Mathematics Subject Classification ID

Other problems of combinatorial convexity (52A37) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Polytopes and polyhedra (52Bxx)

Related Items (2)

Illuminating high-dimensional convex sets ⋮ Putting convex \(d\)-polytopes inside frames

Cites Work

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• On the complexity of d-dimensional Voronoi diagrams
• Bounds of neighborly families of convex polytopes
• Neighborly families of \(2^ k\) k-simplices in \(E^ k\).
• Strictly antipodal sets
• A Conjecture Concerning Neighboring Tetrahedra
• Tilings with congruent tiles
• On Crum's Problem

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