Exploring a Planet, Revisited
Name
2110.04376.pdf
Description
Accepted version
Size
78.15 KB
Format
Adobe PDF
Checksum (MD5)
589c8c8a9e4053328bece3813d9de5f1
Author(s)
Zhao, Yufei
Date Issued
2022
Journal
American Mathematical Monthly
Publisher
Informa UK Limited
Citation
Zhao, Yufei. 2022. "Exploring a Planet, Revisited." American Mathematical Monthly, 129 (7).
Version
Author's final manuscript
Abstract
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
T\'oth 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1080/00029890.2022.2071569
