Small holding circles
Metric Geometry
2011-05-13 v2
Abstract
A circle C holds a convex body K if C does not meet the interior of K and if there does not exist any euclidean displacement which moves C as far as desired from K, avoiding the interior of K. The purpose of this note is to explore how small can be a holding circle. In particular it is shown that the diameter of such a holding circle can be less than the width w of the body but is always greater than 2w/3.
Cite
@article{arxiv.1004.5255,
title = {Small holding circles},
author = {Augustin Fruchard},
journal= {arXiv preprint arXiv:1004.5255},
year = {2011}
}
Comments
8 pages, 4 figures