Covering a plane convex body by four homothetical copies with the smallest positive ratio

DOI10.1007/BF00182903zbMath0563.52017OpenAlexW1972465672MaRDI QIDQ1057500

Marek Lassak

Publication date: 1985

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00182903

zbMATH Keywords

Hadwiger's covering problemhomothetyplane convex bodydual parallelogramshomothetical covering

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (8)

Covering the boundary of a convex body with its smaller homothetic copies ⋮ On the covering index of convex bodies ⋮ Estimations of covering functionals of simplices ⋮ Covering unit spheres and balls of normed spaces by smaller balls ⋮ On covering functionals of convex bodies ⋮ Partition bounded sets into sets having smaller diameters ⋮ Quantitative Illumination of Convex Bodies and Vertex Degrees of Geometric Steiner Minimal Trees ⋮ On regular 4-coverings and their application for lattice coverings in normed planes

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