The illumination conjecture for spindle convex bodies

DOI10.1134/S0081543811080116zbMath1298.52007OpenAlexW2152764302WikidataQ122889544 ScholiaQ122889544MaRDI QIDQ741176

Károly Bezdek

Publication date: 10 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543811080116

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (1)

Illuminating spiky balls and cap bodies

Cites Work

• Completeness and constant width in spherical and hyperbolic spaces
• The Jung theorem for spherical and hyperbolic spaces
• Ball-polyhedra
• The illumination conjecture and its extensions
• Transition from spherical circle packing to covering: geometrical analogues of chemical isomerization
• A counterexample to Borsuk’s conjecture
• On the X-ray Number of Almost Smooth Convex Bodies and of Convex Bodies of Constant Width
• Illuminating sets of constant width
• Covering the Boundary of a Convex Set by Tiles
• Proofs from THE BOOK

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