Circle configurations in strictly convex normed planes

DOI10.1515/ADVGEOM.2010.027zbMath1204.52006MaRDI QIDQ3055467

Margarita Spirova

Publication date: 8 November 2010

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

circlesMinkowski planepacking problemnormed planearbelosApollonius' problemSangaku problemsanticirclesflat Möbius planeflower of lifeGothic archspherical Möbius planetopological Möbius planeYin-Yang

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Elementary problems in Euclidean geometries (51M04) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Euclidean geometries (general) and generalizations (51M05) Möbius geometries (51B10) General theory of topological geometry (51H05)

Related Items (6)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Classical curve theory in normed planes ⋮ Successive radii and ball operators in generalized Minkowski spaces ⋮ Geometry where direction matters -- or does it? ⋮ On Miquel's theorem and inversions in normed planes ⋮ Discrete Geometry in Minkowski Spaces

Cites Work

• Gaps in convex disc packings with an application to 1-Steiner minimum trees
• Covering Discs in Minkowski Planes
• Rotundity, orthogonality, and characterizations of inner product spaces
• Reflections on the Arbelos
• On Inversions in Normed Linear Spaces
• The Isoperimetric Problem in the Minkowski Plane
• A Property of Minkowskian Circles

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