Groemer-Wallen measure of asymmetry for Reuleaux polygons

DOI10.1007/s00022-017-0382-2zbMath1381.52003OpenAlexW2609044243MaRDI QIDQ1685529

Peng Zhan Guo, Hai Lin Jin

Publication date: 14 December 2017

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

Full work available at URL: https://doi.org/10.1007/s00022-017-0382-2

zbMATH Keywords

constant widthmeasure of asymmetryReuleaux 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)

Cites Work

• On a measure of asymmetry for Reuleaux polygons
• Asymmetry of convex bodies of constant width
• A measure of symmetry for the moduli of spherical minimal immersions
• A new construction of curves of constant width
• Isoperimetric ratios of Reuleaux polygons
• On the isoperimetric inequalities for Reuleaux polygons
• Asymmetry of Reuleaux polygons
• On p-measures of asymmetry for convex bodies
• Maximal Areas of Reuleaux Polygons
• Measure of Asymmetry of Convex Curves (II): Curves of Constant Width
• A measure of asymmetry for domains of constant width
• Stability for some extremal properties of the simplex
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