# Diameter-extremal subsets of spheres

Discrete & Computational Geometry, Mar 1989

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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Mikhail Katz. Diameter-extremal subsets of spheres, Discrete & Computational Geometry, 1989, 117-137, DOI: 10.1007/BF02187719