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The illumination bodies of a simplex

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Publication:1913600
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DOI10.1007/BF02711497zbMath0856.52008MaRDI QIDQ1913600

Elisabeth M. Werner

Publication date: 22 May 1996

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)


zbMATH Keywords

volumeillumination body\(n\)-simplex


Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)


Related Items (5)

Floating and Illumination Bodies for Polytopes: Duality Results ⋮ Illumination Depth ⋮ Halfspace depth and floating body ⋮ On the convex hull and homothetic convex hull functions of a convex body ⋮ Separation bodies: a conceptual dual to floating bodies



Cites Work

  • Unnamed Item
  • Extended affine surface area
  • Zur Affinoberfläche konvexer Körper. (On affine surfaces of convex bodies)
  • The convex floating body and polyhedral approximation
  • The convex floating body.
  • Illumination bodies and affine surface area




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