Convex, n = 26 record
A = 0.008714787636293…
full precision
Exact value of the published coordinate literals:
0.00871478763629395656387340498658
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
46 triangles tied (within relative 10−9) at the minimal area, in 46 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0739 · 0.2643 · 0.3049 |
(10,21,22) |
| 1 | 0.0958 · 0.3161 · 0.3983 |
(8,23,25) |
| 1 | 0.3247 · 0.3355 · 0.6581 |
(7,18,24) |
| 1 | 0.2530 · 0.4240 · 0.6749 |
(4,9,10) |
| 1 | 0.2416 · 0.4483 · 0.6879 |
(1,17,21) |
| 1 | 0.2530 · 0.4537 · 0.7048 |
(4,8,9) |
| 1 | 0.2758 · 0.4389 · 0.7130 |
(5,13,16) |
| 1 | 0.2731 · 0.4466 · 0.7179 |
(11,14,19) |
| 1 | 0.3049 · 0.4207 · 0.7240 |
(9,21,22) |
| 1 | 0.2772 · 0.4496 · 0.7251 |
(0,2,21) |
| 1 | 0.3019 · 0.4339 · 0.7342 |
(11,15,16) |
| 1 | 0.2669 · 0.4789 · 0.7443 |
(3,8,20) |
| 1 | 0.2498 · 0.5076 · 0.7558 |
(6,12,23) |
| 1 | 0.3432 · 0.4433 · 0.7852 |
(7,8,12) |
| 1 | 0.3273 · 0.4623 · 0.7884 |
(7,15,23) |
| 1 | 0.3555 · 0.4443 · 0.7987 |
(1,4,19) |
| 1 | 0.3502 · 0.4568 · 0.8058 |
(2,12,17) |
| 1 | 0.2478 · 0.5760 · 0.8225 |
(2,6,24) |
| 1 | 0.2731 · 0.5671 · 0.8390 |
(0,11,14) |
| 1 | 0.2772 · 0.5671 · 0.8431 |
(0,14,21) |
| 1 | 0.2183 · 0.6400 · 0.8570 |
(4,14,20) |
| 1 | 0.2669 · 0.5920 · 0.8578 |
(3,8,22) |
| 1 | 0.2294 · 0.6393 · 0.8674 |
(1,2,7) |
| 1 | 0.2211 · 0.6496 · 0.8695 |
(9,13,18) |
| 1 | 0.2305 · 0.6432 · 0.8725 |
(0,12,15) |
| 1 | 0.2371 · 0.6476 · 0.8836 |
(6,16,22) |
| 1 | 0.2264 · 0.6583 · 0.8836 |
(3,17,19) |
| 1 | 0.4274 · 0.4721 · 0.8987 |
(2,11,20) |
| 1 | 0.1727 · 0.7307 · 0.9021 |
(2,9,14) |
| 1 | 0.4350 · 0.4718 · 0.9060 |
(15,19,21) |
| 1 | 0.1762 · 0.7321 · 0.9070 |
(0,6,19) |
| 1 | 0.2899 · 0.6201 · 0.9091 |
(7,20,25) |
| 1 | 0.1632 · 0.7479 · 0.9097 |
(4,13,15) |
| 1 | 0.4251 · 0.5543 · 0.9787 |
(5,12,25) |
| 1 | 0.4639 · 0.5276 · 0.9909 |
(16,19,25) |
| 1 | 0.4777 · 0.5543 · 1.0314 |
(11,12,25) |
| 1 | 0.4510 · 0.5958 · 1.0462 |
(1,15,24) |
| 1 | 0.4522 · 0.6026 · 1.0543 |
(10,13,19) |
| 1 | 0.4576 · 0.6097 · 1.0668 |
(2,5,22) |
| 1 | 0.5056 · 0.5938 · 1.0990 |
(0,18,23) |
| 1 | 0.2294 · 0.8849 · 1.1136 |
(1,2,25) |
| 1 | 0.3049 · 0.8578 · 1.1622 |
(8,21,22) |
| 1 | 0.2772 · 0.8874 · 1.1641 |
(0,5,21) |
| 1 | 0.2758 · 0.9104 · 1.1857 |
(5,8,13) |
| 1 | 0.3399 · 0.8551 · 1.1945 |
(3,10,23) |
| 1 | 0.4541 · 0.9066 · 1.3604 |
(16,21,24) |
Provenance
- Found by Rhys Chappell, August 2026.
- Coordinates by an external contributor, re-verified here:
github.com/rhyschappell (surgery/cascade search)— Improves the previous value 0.008403268124 by 3.71%. Found by point insertion/deletion surgery between neighboring record configurations followed by constrained local maximin refinement.. - Verified in exact arithmetic: all 2600 triples enumerated, 46 tied at the minimum.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
