Exploring a planet, revisited
Metric Geometry
2021-10-12 v1 Combinatorics
Functional Analysis
Abstract
How should we place great circles on a sphere to minimize the furthest distance between a point on the sphere and its nearest great circle? Fejes T\'oth conjectured that the optimum is attained by placing 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.
Cite
@article{arxiv.2110.04376,
title = {Exploring a planet, revisited},
author = {Yufei Zhao},
journal= {arXiv preprint arXiv:2110.04376},
year = {2021}
}
Comments
3 pages, 3 figures