Exploring a Planet, Revisited
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 conje...
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| Format: | Article |
| Language: | English |
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Informa UK Limited
2022
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| Online Access: | https://hdl.handle.net/1721.1/145895 |
| Summary: | 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. |
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