Exploring a Planet, Revisited
Yufei Zhao · American Mathematical Monthly · 2022
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 Jiang and Polyanskii. We present a short simplification of Ortega-Moreno’s alternate proof of this conjecture.