Diameter-extremal subsets of spheres

  title={Diameter-extremal subsets of spheres},
  author={Mikhail G. Katz},
  journal={Discrete \& Computational Geometry},
  • M. Katz
  • Published 1 December 1989
  • Mathematics
  • Discrete & Computational Geometry
We investigate those spherical point sets which, relative to the Hausdorff metric, give local minima of the diameter function, and obtain estimates which, in principle, justify computer-generated configurations. We test the new sets against two classical conjectures: Borsuk's and McMullen's. 

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  • M. Katz
  • Mathematics
    Proceedings of the American Mathematical Society
  • 2019
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