On the X-ray Number of Almost Smooth Convex Bodies and of Convex Bodies of Constant Width

DOI10.4153/CMB-2009-037-0zbMath1180.52007arXiv0903.4830OpenAlexW2150353076MaRDI QIDQ3182684

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Publication date: 15 October 2009

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4830

zbMATH Keywords

convex body of constant widthillumination conjectureX-ray numberX-ray conjecturealmost smooth convex bodyweakly neighbourly antipodal convex polytope

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Other problems of combinatorial convexity (52A37) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (7)

Spherical coverings and X-raying convex bodies of constant width ⋮ On directional Whitney inequality ⋮ Ball and spindle convexity with respect to a convex body ⋮ Illuminating spindle convex bodies and minimizing the volume of spherical sets of constant width ⋮ The illumination conjecture for spindle convex bodies ⋮ A SPIKY BALL ⋮ Illuminating spiky balls and cap bodies

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