A measure of asymmetry for domains of constant width

zbMath0996.52001MaRDI QIDQ5948426

Lawrence J. Wallen, Helmut Groemer

Publication date: 18 November 2001

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230091

zbMATH Keywords

areaconstant widthmeasure of asymmetryReuleaux triangles

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (13)

The log-Minkowski measure of asymmetry for convex bodies ⋮ Asymmetry of Reuleaux polygons ⋮ Groemer-Wallen measure of asymmetry for Reuleaux polygons ⋮ On a measure of asymmetry for Reuleaux polygons ⋮ Iteration of involutes of constant width curves in the Minkowski plane ⋮ On the 1-measure of asymmetry for convex bodies of constant width ⋮ Mixed volumes and measures of asymmetry ⋮ Asymmetry of convex bodies of constant width ⋮ Two measures of asymmetry for revolutionary constant width bodies in \(\mathbb{R}^3\) ⋮ The mean Minkowski measures for convex bodies of constant width ⋮ A new construction of curves of constant width ⋮ On the equivalence between two problems of asymmetry on convex bodies ⋮ Electrostatic capacity and measure of asymmetry

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