Small holding circles

Augustin Fruchard

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arXiv · 1004.5255

Small holding circles

Augustin Fruchard

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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.

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BibTeX RIS

Augustin Fruchard. 2011-05-12. Small holding circles. https://arxiv.org/abs/1004.5255

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