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arXiv · 1003.5824

Maximal r-Diameter Sets and Solids of Constant Width

Ethan Akin
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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.

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Ethan Akin. 2010-08-15. Maximal r-Diameter Sets and Solids of Constant Width. https://arxiv.org/abs/1003.5824

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