Leaderboard
Record summary across square, triangle, and convex variants (n = 3–36). Coauthored discoveries credit each contributor fully. The weighted score reflects the sum of record values Σ A held by each person, which places greater mathematical weight on smaller n where triangle areas are substantially larger. Trivial base cases (such as n = 3) are excluded from scoring.
Records
Current best-known configurations.
| by entries | entries | Σ A | |
|---|---|---|---|
| 1 | Fable 5.1 with Shengtong Zhang | 30 | 0.2381 |
| 2 | David Cantrell | 16 | 1.1132 |
| 3 | Tej Stead | 9 | 0.1237 |
| 4 | Nathan Sudermann-Merx | 7 | 0.1006 |
| 5 | Francesc Comellas | 5 | 0.2902 |
| 6 | José Luis Andres Yebra | 5 | 0.2902 |
| 7 | Rob Gardiner | 5 | 0.0465 |
| 8 | Rhys Chappell | 4 | 0.0434 |
| 9 | Marc-Emmanuel Coupvent des Graviers | 3 | 0.0254 |
| 10 | AlphaEvolve | 2 | 0.0644 |
| 11 | Mark Beyleveld | 2 | 0.0448 |
| 12 | Alexandar Lackovic with help of Opus 5.5 | 2 | 0.0118 |
| 13 | Jingzhong Zhang | 1 | 0.1250 |
| 14 | Lu Yang | 1 | 0.1250 |
| 15 | Zhenbing Zeng | 1 | 0.1250 |
| 16 | Michael Goldberg | 1 | 0.0370 |
| 17 | Peter Karpov | 1 | 0.0270 |
| 18 | Chouaieb Nemri | 1 | 0.0173 |
| 19 | Ilkyoo Choi | 1 | 0.0091 |
| by Σ A | Σ A | entries | |
|---|---|---|---|
| 1 | David Cantrell | 1.1132 | 16 |
| 2 | Francesc Comellas | 0.2902 | 5 |
| 3 | José Luis Andres Yebra | 0.2902 | 5 |
| 4 | Fable 5.1 with Shengtong Zhang | 0.2381 | 30 |
| 5 | Jingzhong Zhang | 0.1250 | 1 |
| 6 | Lu Yang | 0.1250 | 1 |
| 7 | Zhenbing Zeng | 0.1250 | 1 |
| 8 | Tej Stead | 0.1237 | 9 |
| 9 | Nathan Sudermann-Merx | 0.1006 | 7 |
| 10 | AlphaEvolve | 0.0644 | 2 |
| 11 | Rob Gardiner | 0.0465 | 5 |
| 12 | Mark Beyleveld | 0.0448 | 2 |
| 13 | Rhys Chappell | 0.0434 | 4 |
| 14 | Michael Goldberg | 0.0370 | 1 |
| 15 | Peter Karpov | 0.0270 | 1 |
| 16 | Marc-Emmanuel Coupvent des Graviers | 0.0254 | 3 |
| 17 | Chouaieb Nemri | 0.0173 | 1 |
| 18 | Alexandar Lackovic with help of Opus 5.5 | 0.0118 | 2 |
| 19 | Ilkyoo Choi | 0.0091 | 1 |
Proofs
Configurations proved optimal.
| by entries | entries | Σ A | |
|---|---|---|---|
| 1 | Zhenbing Zeng | 7 | 0.8898 |
| 2 | Lu Yang | 5 | 0.7202 |
| 3 | Tej Stead | 2 | 0.3564 |
| 4 | Jingzhong Zhang | 2 | 0.3175 |
| 5 | Andreas Dress | 2 | 0.2917 |
| 6 | Liangyu Chen | 2 | 0.1811 |
| 7 | Nathan Sudermann-Merx | 2 | 0.1227 |
| 8 | Royce Peng | 1 | 0.1716 |
| 9 | Zhenbing Chen | 1 | 0.0839 |
| 10 | L. Dehbi | 1 | 0.0724 |
| by Σ A | Σ A | entries | |
|---|---|---|---|
| 1 | Zhenbing Zeng | 0.8898 | 7 |
| 2 | Lu Yang | 0.7202 | 5 |
| 3 | Tej Stead | 0.3564 | 2 |
| 4 | Jingzhong Zhang | 0.3175 | 2 |
| 5 | Andreas Dress | 0.2917 | 2 |
| 6 | Liangyu Chen | 0.1811 | 2 |
| 7 | Royce Peng | 0.1716 | 1 |
| 8 | Nathan Sudermann-Merx | 0.1227 | 2 |
| 9 | Zhenbing Chen | 0.0839 | 1 |
| 10 | L. Dehbi | 0.0724 | 1 |
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