The Blaschke-Lebesgue problem for constant width bodies of revolution
Differential Geometry
2009-03-26 v1
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.
Cite
@article{arxiv.0903.4284,
title = {The Blaschke-Lebesgue problem for constant width bodies of revolution},
author = {Henri Anciaux and Nikos Georgiou},
journal= {arXiv preprint arXiv:0903.4284},
year = {2009}
}
Comments
14 pages