A new construction of curves of constant width

DOI10.1016/j.cagd.2008.06.010zbMath1172.51309OpenAlexW1969707921MaRDI QIDQ735537

Zokhrab Mustafaev, Horst Martini

Publication date: 22 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2008.06.010

zbMATH Keywords

rotormeasure of asymmetryconvex figureReuleaux triangle(Curve of) constant width(Geometric) constructionReuleaux polygontranslation cover

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Euclidean geometries (general) and generalizations (51M05)

Related Items (8)

Algebraic equations for constant width curves and Zindler curves ⋮ Groemer-Wallen measure of asymmetry for Reuleaux polygons ⋮ Schwarz boundary value problem on Reuleaux triangle ⋮ Generalized plane offsets and rational parameterizations ⋮ Geometric Hermite interpolation by rational curves of constant width ⋮ Two measures of asymmetry for revolutionary constant width bodies in \(\mathbb{R}^3\) ⋮ A generalization of domains of constant width ⋮ The diameter and width of numerical ranges

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• Maximal Areas of Reuleaux Polygons
• Measure of Asymmetry of Convex Curves (II): Curves of Constant Width
• From intersectors to successors
• A measure of asymmetry for domains of constant width

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