Asymmetry of convex bodies of constant width

DOI10.1007/s00454-011-9370-8zbMath1242.52005OpenAlexW1967118719MaRDI QIDQ664358

Qi Guo, Hai Lin Jin

Publication date: 1 March 2012

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-011-9370-8

zbMATH Keywords

convex body of constant widthMeissner bodyasymmetry measure

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (17)

The log-Minkowski measure of asymmetry for convex bodies ⋮ Dual mean Minkowski measures of symmetry for convex bodies ⋮ Asymmetry for convex body of revolution ⋮ Asymmetry of Reuleaux polygons ⋮ Dual mean Minkowski measures and the Grünbaum conjecture for affine diameters ⋮ Groemer-Wallen measure of asymmetry for Reuleaux polygons ⋮ Complete sets in normed linear spaces ⋮ The circumradius of planar reduced convex bodies ⋮ A note on the extremal bodies of constant width for the Minkowski measure ⋮ Stability for the Minkowski measure of convex domains of constant width ⋮ On the 1-measure of asymmetry for convex bodies of constant width ⋮ Mixed volumes and measures of asymmetry ⋮ A pseudometric invariant under similarities in the hyperspace of non-degenerated compact convex sets of \(\mathbb{R}^n\) ⋮ The asymmetry of complete and constant width bodies in general normed spaces and the Jung constant ⋮ On the equivalence between two problems of asymmetry on convex bodies ⋮ Positive center sets of convex curves ⋮ Electrostatic capacity and measure of asymmetry

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• A measure of asymmetry for domains of constant width

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