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Metrically homogeneous sets

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Abstract

A subset of a metric space is called metrically homogeneous if the set of distances from a chosen point of the subset to all the other points of the subset is independent of the chosen point. The main result of the paper is a complete characterization of the compact, metrically homogeneous subsets of the Euclidean plane.

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Reference

  1. A. Heppes, Állandószélességü síkgörbék egy jellemzése. Matem. Lapok,10 (1959), 133–135.

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Authors and Affiliations

  1. University of Washington, Seattle

    Branko Grünbaum & L. M. Kelly

  2. Michigan State University, East Lansing

    Branko Grünbaum & L. M. Kelly

Authors
  1. Branko Grünbaum
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  2. L. M. Kelly
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Grünbaum, B., Kelly, L.M. Metrically homogeneous sets. Israel J. Math. 6, 183–197 (1968). https://doi.org/10.1007/BF02760183

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  • DOI: https://doi.org/10.1007/BF02760183

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