The Blaschke-Lebesgue theorem revisited

2023/03/08 by Ryan Hynd, Hynd, Ryan
Mathematics · #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Optimization and Control (math.OC) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2303.04359

openalex publication_date 2023/03/08 · openalex created_date 2023/03/10 · openalex updated_date 2026/07/28

Abstract

We revisit a classic proof of the Blaschke-Lebesgue theorem. It is based on the support function of a convex curve and the approximation of constant width curves by Reuleaux polygons.

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