Small holding circles

Autor: Fruchard, Augustin
Rok vydání: 2010
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 8 pages, 4 figures
Databáze: arXiv