Approximation of convex bodies by inscribed simplices of maximum volume

DOI10.1007/s13366-011-0026-xzbMath1230.52015OpenAlexW2106097701MaRDI QIDQ717836

Marek Lassak

Publication date: 7 October 2011

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0026-x

zbMATH Keywords

convex bodyBanach-Mazur distancesimplexaffine transformationhomothetydouble-cone

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Approximation by convex sets (52A27)

Related Items (4)

Extremizers in Soprunov and Zvavitch's Bezout inequalities for mixed volumes ⋮ Spectrahedral Containment and Operator Systems with Finite-Dimensional Realization ⋮ Minimal and maximal matrix convex sets ⋮ On the Beer index of convexity and its variants

Cites Work

• Simultaneous inner and outer approximation of shapes
• Approximation of convex bodies by simplices
• Translative covering by homothetic copies
• Largest \(j\)-simplices in \(d\)-cubes: Some relatives of the Hadamard maximum determinant problem
• Approximation of Convex Bodies by Triangles
• On maximal simplices inscribed in a central convex set
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