Maximum volume polytopes inscribed in the unit sphere

DOI10.1007/s00605-016-0949-2zbMath1354.52016arXiv1402.6496OpenAlexW2963427910MaRDI QIDQ328588

Ákos G. Horváth, Zsolt Lángi

Publication date: 20 October 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6496

zbMATH Keywords

polytopecircumradiusisoperimetric problemvolume inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Isoperimetric problems for polytopes (52B60)

Related Items (5)

Extremal arrangements of points in the sphere for weighted cone-volume functionals ⋮ Discrete isoperimetric problems in spaces of constant curvature ⋮ Extremal random beta polytopes ⋮ An extremum problem for the power moment of a convex polygon contained in a disc ⋮ A characterization of affinely regular polygons

Cites Work

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• Ellipsoids of maximal volume in convex bodies
• Unsolved problems in geometry
• On the maximal volume of convex bodies with few vertices
• The largest small \(n\)-dimensional polytope with \(n+3\) vertices.
• Löwner-John ellipsoids
• Volumes of polyhedra inscribed in the unit sphere in \(E^3\)
• Research Problems in Discrete Geometry
• Lectures on Polytopes
• Isoperimetric problems for polytopes with a given number of vertices
• Convex and Discrete Geometry
• Discrete and Computational Geometry

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