Maximal r-Diameter Sets and Solids of Constant Width
Dynamical Systems
2010-08-17 v2 General Mathematics
Metric Geometry
Abstract
We recall the definition of an r-maximal set in a metric space as a maximal subset of diameter r. In the special case when the metric space is Euclidean such a set is exactly a solid of constant diameter r. In the process of reviewing the theory of these objects we provide a simple construction which generates a large class of such solids.
Cite
@article{arxiv.1003.5824,
title = {Maximal r-Diameter Sets and Solids of Constant Width},
author = {Ethan Akin},
journal= {arXiv preprint arXiv:1003.5824},
year = {2010}
}