Body of constant width with minimal area in a given annulus

DOI10.5802/jep.150zbMath1465.52014arXiv2004.10865OpenAlexW3018364739MaRDI QIDQ2660426

Ilaria Lucardesi, Antoine Henrot

Publication date: 30 March 2021

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10865

zbMATH Keywords

area minimizationconstant widthReuleaux polygonsinradius constraint

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (2) dimensions (including convex curves) (52A10) Sensitivity analysis for optimization problems on manifolds (49Q12)

Cites Work

• On the isoperimetric inequalities for Reuleaux polygons
• A direct proof of a theorem of Blaschke and Lebesgue.
• Der Inhalt der Gleichdicke. Abschätzungen für ebene Gleichdicke
• An optimal control formulation of the Blaschke-Lebesgue theorem
• Variation and optimization of formes. A geometric analysis
• Bodies of Constant Width
• A PROOF OF BLASCHK'S THEOREM ON THE REULEAUX TRIANGLE
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