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Counting polyominoes and Klarner's constant
Count the polyominoes with n cells, known exactly up to n = 70, and pin down Klarner's growth constant, now between 4.0025 and 4.5252.
| 1 | { |
| 2 | "domain": "computer-science", |
| 3 | "topics": [ |
| 4 | "computational-geometry", |
| 5 | "combinatorics" |
| 6 | ], |
| 7 | "type": "algorithm", |
| 8 | "also": [ |
| 9 | "proof" |
| 10 | ], |
| 11 | "source": { |
| 12 | "key": "topp", |
| 13 | "name": "The Open Problems Project", |
| 14 | "url": "https://topp.openproblem.net/p37", |
| 15 | "id": "37", |
| 16 | "curator": "Erik D. Demaine, Joseph S. B. Mitchell and Joseph O'Rourke", |
| 17 | "status": "open", |
| 18 | "as_of": "2026-10-20", |
| 19 | "catalog": "0521c19bbd38" |
| 20 | }, |
| 21 | "review": true, |
| 22 | "approval": "first-time" |
| 23 | } |