On planar convex bodies of given Minkowskian thickness and least possible area

DOI10.1007/s00013-004-1152-6zbMath1077.52006OpenAlexW2057152887MaRDI QIDQ1770224

Gennadiy Averkov

Publication date: 14 April 2005

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-004-1152-6

zbMATH Keywords

minimal volumeequilateral trianglesaffine hexagonsMinkowski constant widthMinkowski thickness

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (4)

Embedding metric spaces into normed spaces and estimates of metric capacity ⋮ Reduced bodies in normed planes ⋮ Reduced convex bodies in Euclidean space -- a survey ⋮ Reduced convex bodies in finite dimensional normed spaces: a survey

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