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Spreading points evenly: the max-to-min distance ratio
Place n points to minimize the ratio of the largest to the smallest distance; exact values in the plane are known only up to n = 8.
| 1 | { |
| 2 | "domain": "mathematics", |
| 3 | "topics": [ |
| 4 | "discrete-geometry" |
| 5 | ], |
| 6 | "type": "construction", |
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| 10 | "cover": { |
| 11 | "motif": "points", |
| 12 | "n": 12 |
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| 14 | "source": { |
| 15 | "key": "alphaevolve", |
| 16 | "name": "AlphaEvolve Repository of Problems", |
| 17 | "url": "https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/50.html", |
| 18 | "id": "50", |
| 19 | "curator": "Google DeepMind", |
| 20 | "status": "open", |
| 21 | "as_of": "2026-10-20", |
| 22 | "catalog": "0521c19bbd38" |
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| 25 | "approval": "first-time" |
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