Each convex body in \(E^3\) symmetric about a plane can be illuminated by 8 directions

DOI10.1007/BF01237472zbMath0970.52003MaRDI QIDQ1841858

Boris V. Dekster

Publication date: 21 October 2001

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

convex body in \(E^3\)illuminating directions

Mathematics Subject Classification ID

Convex sets in (3) dimensions (including convex surfaces) (52A15) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (3)

Improved bounds for Hadwiger's covering problem via thin-shell estimates ⋮ Homothetic covering of convex hulls of compact convex sets ⋮ On the illumination of centrally symmetric cap bodies in small dimensions

Cites Work

• Ausgewählte Probleme der kombinatorischen Geometrie des Euklidischen und sphärischen Raumes
• Excursions into combinatorial geometry
• The problem of illumination of the boundary of a convex body by affine subspaces
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