# Diameter-extremal subsets of spheres

@article{Katz1989DiameterextremalSO, title={Diameter-extremal subsets of spheres}, author={Mikhail G. Katz}, journal={Discrete \& Computational Geometry}, year={1989}, volume={4}, pages={117-137} }

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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