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Involutes of polygons of constant width in Minkowski planes

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Publication:2835395
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DOI10.26493/1855-3974.887.ae1zbMath1354.52003arXiv1406.3205OpenAlexW1839309788WikidataQ129359211 ScholiaQ129359211MaRDI QIDQ2835395

Marcos Craizer, Horst Martini

Publication date: 2 December 2016

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3205

zbMATH Keywords

curvatureMinkowski geometrysupport functiondiscrete differential geometryevolutesinvolutesnormed planecenter symmetry setarea evolutecurves of constant widthequidistantsBarbier's theoremwidth function


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) Affine differential geometry (53A15) Minkowski geometries in nonlinear incidence geometry (51B20) Other special differential geometries (53A40)


Related Items

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Involutes of fronts in the Euclidean plane ⋮ The middle hedgehog of a planar convex body ⋮ Isoperimetric Inequalities in Normed Planes ⋮ Discrete cycloids from convex symmetric polygons ⋮ Concepts of curvatures in normed planes



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