On a measure of asymmetry for Reuleaux polygons

DOI10.1007/s00022-011-0096-9zbMath1252.52005OpenAlexW2079900708MaRDI QIDQ434319

Qi Guo, Hai Lin Jin

Publication date: 10 July 2012

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-011-0096-9

zbMATH Keywords

constant widthasymmetry measuresReuleaux polygons

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (3)

Asymmetry of Reuleaux polygons ⋮ Groemer-Wallen measure of asymmetry for Reuleaux polygons ⋮ The circumradius of planar reduced convex bodies

Cites Work

• Isoperimetric ratios of Reuleaux polygons
• On the isoperimetric inequalities for Reuleaux polygons
• On asymmetry of some convex bodies
• A linear-time construction of Reuleaux polygons
• Stability of the Minkowski measure of asymmetry for convex bodies
• Maximal Areas of Reuleaux Polygons
• Measure of Asymmetry of Convex Curves (II): Curves of Constant Width
• A PROOF OF BLASCHK'S THEOREM ON THE REULEAUX TRIANGLE
• The Critical Set of a Convex Body
• A measure of asymmetry for domains of constant width
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