Explore a planet

How should we place n great circles on a sphere to minimize the furthest distance between a point on the sphere and its nearest great circle? Fejes Tóth conjectured that the optimum is attained by placing n circles evenly spaced all passing through the north and south poles. This conjecture was recently proved by Polyanskii and me. In this talk, we survey recent developments based on our resolution of the Fejes Tóth zone conjecture, and present some related open problems.

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https://search.asu.edu/profile/3691673