Large triangles contained in the unit disk of a Minkowski plane

DOI10.1007/s00022-009-0019-1zbMath1188.52002OpenAlexW2092136195MaRDI QIDQ2380489

Ewa Fabińska, Marek Lassak

Publication date: 26 March 2010

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

Full work available at URL: https://doi.org/10.1007/s00022-009-0019-1

zbMATH Keywords

triangleMinkowski planeunit disk

Mathematics Subject Classification ID

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)

Cites Work

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• Self-packing of centrally symmetric convex bodies in \(\mathbb{R}{}^ 2\)
• Large equilateral triangles inscribed in the unit disk of a Minkowski plane
• Some properties of the self-circumference of convex sets
• Affine-regular hexagons of extreme areas inscribed in a centrally symmetric convex body
• The geometry of Minkowski spaces -- a survey. I