Maximal r-Diameter Sets and Solids of Constant Width

Details Maximal r-Diameter Sets and Solids of Constant Width Maximal r-Diameter Sets and Solids of Constant Width

2010-03-30

arxiv.org/abs/1003.5824v2

Mathematics

Dynamical Systems

Scientific paper

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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