The Blaschke-Lebesgue problem for constant width bodies of revolution

2009/03/25 by Henri Anciaux, Nikos Georgiou, Anciaux, Henri +1
Mathematics · #52A15 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:52A15

paper · pdf · doi:10.48550/arxiv.0903.4284

14 pages

arxiv created 2009/03/25 · arxiv updated 2009/12/01

Abstract

We prove that among all constant width bodies of revolution, the minimum of the ratio of the volume to the cubed width is attained by the constant width body obtained by rotation of the Reuleaux triangle about an axis of symmetry.

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