Visibility and diameter maximization of convex bodies

DOI10.1515/FORM.2011.005zbMath1216.52004OpenAlexW2083132669MaRDI QIDQ3074817

Alberto Seeger, José Pedro Moreno

Publication date: 10 February 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.005

zbMATH Keywords

polytopeconvex bodyantipodalityvisibilityconstant widthdouble normaldiameter maximization

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Extremal problems involving isotropic sets and functions on spaces of rectangular matrices ⋮ Double normals of most convex bodies

Cites Work

• Symmetrization of closure operators and visibility
• Antipodality in hyperbolic space
• Combinatorial problems on the illumination of convex bodies
• Antipodality properties of finite sets in Euclidean space
• A characterization of convex sets via visibility
• Shadow-boundaries of convex bodies
• Double normals of convex bodies
• Viewing and realizing diameters
• Sets of constant width in finite dimensional Banach spaces
• On pairs of vectors achieving the maximal angle of a convex cone
• Antipodal trees and mutually critical points on surfaces
• Antipodal pairs, critical pairs, and Nash angular equilibria in convex cones
• Visible Shorelines
• On convex cones with infinitely many critical angles

This page was built for publication: Visibility and diameter maximization of convex bodies