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Solutions to the lighting problem for zone bodies

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Publication:1916652
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DOI10.1007/BF02305090zbMath0856.52014OpenAlexW2083434979MaRDI QIDQ1916652

Vladimir G. Boltyanski

Publication date: 17 February 1997

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02305090


zbMATH Keywords

Hadwiger's covering problemillumination problemzone bodies


Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items

On the multiple illumination numbers of convex bodies ⋮ HILBERT TRANSFORMS ALONG LIPSCHITZ DIRECTION FIELDS: A LACUNARY MODEL ⋮ Cube is a strict local maximizer for the illumination number ⋮ Illuminating spiky balls and cap bodies ⋮ Covering by homothets and illuminating convex bodies



Cites Work

  • Unnamed Item
  • Ausgewählte Probleme der kombinatorischen Geometrie des Euklidischen und sphärischen Raumes
  • A solution of Hadwiger's covering problem for zonoids
  • A Class of Convex Bodies
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