Lower bounds for the numbers of antipodal pairs and strictly antipodal pairs of vertices in a convex polytope

DOI10.1007/BF02574001zbMath0799.52003OpenAlexW2053288083MaRDI QIDQ1317875

Valeriu Soltan, Nguyen Manh Hung

Publication date: 9 November 1994

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131295

zbMATH Keywords

lower boundsconvex polytopesantipodal points\(d\)-dimensional Euclidean space

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

On antipodal and adjoint pairs of points for two convex bodies ⋮ Shadow-boundaries of convex bodies ⋮ Antipodality properties of finite sets in Euclidean space ⋮ Sets characterized by missing sums and differences in dilating polytopes ⋮ Double-normal pairs in the plane and on the sphere ⋮ On pairs of vectors achieving the maximal angle of a convex cone

Cites Work

• Über zwei Probleme bezüglich konvexer Körper von P. Erdős und von V.L. Klee
• Strictly antipodal sets
• Irreducible convex sets
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• Unnamed Item

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