On regular 4-coverings and their application for lattice coverings in normed planes

DOI10.1016/j.disc.2009.04.001zbMath1186.52007OpenAlexW1975626234MaRDI QIDQ1044993

Horst Martini, Margarita Spirova

Publication date: 15 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.04.001

zbMATH Keywords

bisectorMinkowski planelattice coveringHadwiger's covering problemBirkhoff orthogonalitynormed planeVoronoi regionPythagorean orthogonalityJames orthogonalitybundle theoremGray regionMiquel's six-circles theoremregular 4-covering

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (5)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Slopes of bisectors in normed planes ⋮ Geometry where direction matters -- or does it? ⋮ On Miquel's theorem and inversions in normed planes ⋮ Discrete Geometry in Minkowski Spaces

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