Diameter-extremal subsets of spheres

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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.

Original languageEnglish
Pages (from-to)117-137
Number of pages21
JournalDiscrete and Computational Geometry
Issue number1
StatePublished - Dec 1989
Externally publishedYes


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