A direct proof of a theorem of Blaschke and Lebesgue.

DOI10.1007/BF02930861zbMath1044.52001arXivmath/0009137MaRDI QIDQ1608522

Evans M. II. Harrell

Publication date: 8 August 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009137

zbMATH Keywords

convex bodyconstant widthReuleaux triangle

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (9)

A doubly monotone flow for constant width bodies in ℝ³ ⋮ Semidefinite programming for optimizing convex bodies under width constraints ⋮ A generalization of the Blaschke-Lebesgue problem to a kind of convex domains ⋮ Body of constant width with minimal area in a given annulus ⋮ On a strengthening of the Blaschke-Leichtweiss theorem ⋮ Viterbo's conjecture as a worm problem ⋮ Analytic parametrization of three-dimensional bodies of constant width ⋮ On the three-dimensional Blaschke-Lebesgue problem ⋮ A generalized affine isoperimetric inequality

Cites Work

• Isoperimetric ratios of Reuleaux polygons
• An optimal control formulation of the Blaschke-Lebesgue theorem
• Spherical harmonics
• A PROOF OF BLASCHK'S THEOREM ON THE REULEAUX TRIANGLE
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A direct proof of a theorem of Blaschke and Lebesgue.