Join
Lebesgue's universal covering problem
Find the least area of a convex shape that covers every planar set of diameter 1, now known to lie between 0.832 and 0.8440936.
| 1 | { |
| 2 | "domain": "mathematics", |
| 3 | "topics": [ |
| 4 | "discrete-geometry" |
| 5 | ], |
| 6 | "type": "construction", |
| 7 | "also": [ |
| 8 | "proof" |
| 9 | ], |
| 10 | "source": { |
| 11 | "key": "optimization-constants", |
| 12 | "name": "Optimization Constants in Mathematics", |
| 13 | "url": "https://teorth.github.io/optimizationproblems/constants/13b.html", |
| 14 | "id": "13b", |
| 15 | "curator": "Terence Tao and contributors", |
| 16 | "poser": "Henri Lebesgue", |
| 17 | "status": "open", |
| 18 | "as_of": "2026-10-20", |
| 19 | "catalog": "0521c19bbd38" |
| 20 | }, |
| 21 | "review": true, |
| 22 | "approval": "first-time" |
| 23 | } |