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Reduced strictly convex plane figure is of constant width

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Publication:1071314
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DOI10.1007/BF01221008zbMath0586.52002MaRDI QIDQ1071314

Boris V. Dekster

Publication date: 1986

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


zbMATH Keywords

minimal widthreduced convex bodies


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items (8)

The circumradius of planar reduced convex bodies ⋮ Reduced convex bodies in the plane ⋮ On reduced polytopes and antipodality ⋮ Reduced bodies in normed planes ⋮ Reduced convex bodies in Euclidean space -- a survey ⋮ Reduced convex bodies in finite dimensional normed spaces: a survey ⋮ On reduced convex bodies ⋮ Tetrahedra are not reduced



Cites Work

  • Extremal convex sets
  • Unnamed Item


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