Triangle, n = 34 record
A = 0.003758180215610…
full precision
Exact value of the published coordinate literals:
0.003758180215610951105236814175
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
62 triangles tied (within relative 10−9) at the minimal area, in 62 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0619 · 0.1365 · 0.1738 |
(0,19,27) |
| 1 | 0.0451 · 0.1717 · 0.1878 |
(9,10,14) |
| 1 | 0.0723 · 0.1562 · 0.2156 |
(11,16,33) |
| 1 | 0.1039 · 0.1630 · 0.2602 |
(7,9,23) |
| 1 | 0.1039 · 0.2037 · 0.3031 |
(5,7,9) |
| 1 | 0.1283 · 0.2016 · 0.3265 |
(21,30,31) |
| 1 | 0.1899 · 0.2048 · 0.3929 |
(1,3,4) |
| 1 | 0.1676 · 0.2448 · 0.4107 |
(22,30,32) |
| 1 | 0.2409 · 0.2437 · 0.4835 |
(8,29,31) |
| 1 | 0.1676 · 0.3294 · 0.4960 |
(13,22,30) |
| 1 | 0.1365 · 0.3792 · 0.5146 |
(0,19,32) |
| 1 | 0.2617 · 0.2930 · 0.5539 |
(0,3,29) |
| 1 | 0.1845 · 0.3712 · 0.5550 |
(15,17,31) |
| 1 | 0.1283 · 0.4330 · 0.5604 |
(12,21,31) |
| 1 | 0.1356 · 0.4330 · 0.5678 |
(12,23,31) |
| 1 | 0.2348 · 0.3588 · 0.5931 |
(1,2,6) |
| 1 | 0.1473 · 0.4470 · 0.5936 |
(4,18,32) |
| 1 | 0.2200 · 0.3763 · 0.5957 |
(25,27,29) |
| 1 | 0.1712 · 0.4427 · 0.6133 |
(5,6,31) |
| 1 | 0.2653 · 0.3526 · 0.6175 |
(9,24,31) |
| 1 | 0.3088 · 0.3229 · 0.6313 |
(6,9,29) |
| 1 | 0.2348 · 0.4048 · 0.6392 |
(2,6,23) |
| 1 | 0.2813 · 0.3707 · 0.6516 |
(6,8,30) |
| 1 | 0.2549 · 0.4057 · 0.6602 |
(2,15,20) |
| 1 | 0.2488 · 0.4228 · 0.6712 |
(11,13,15) |
| 1 | 0.2737 · 0.4067 · 0.6800 |
(8,21,33) |
| 1 | 0.2279 · 0.4602 · 0.6878 |
(2,7,10) |
| 1 | 0.3013 · 0.3971 · 0.6981 |
(17,20,32) |
| 1 | 0.2448 · 0.4547 · 0.6991 |
(16,17,30) |
| 1 | 0.3518 · 0.3643 · 0.7158 |
(12,14,15) |
| 1 | 0.2590 · 0.4602 · 0.7189 |
(2,7,14) |
| 1 | 0.0976 · 0.6406 · 0.7376 |
(4,6,28) |
| 1 | 0.3028 · 0.4479 · 0.7504 |
(2,8,13) |
| 1 | 0.1971 · 0.5616 · 0.7584 |
(11,26,32) |
| 1 | 0.1321 · 0.6867 · 0.8184 |
(3,25,31) |
| 1 | 0.2976 · 0.5400 · 0.8373 |
(4,11,22) |
| 1 | 0.1942 · 0.6546 · 0.8485 |
(3,13,21) |
| 1 | 0.3406 · 0.5366 · 0.8771 |
(8,24,32) |
| 1 | 0.3307 · 0.5550 · 0.8855 |
(15,17,28) |
| 1 | 0.2957 · 0.5941 · 0.8897 |
(1,5,27) |
| 1 | 0.3307 · 0.5817 · 0.9123 |
(22,28,33) |
| 1 | 0.3792 · 0.5616 · 0.9406 |
(0,26,32) |
| 1 | 0.4830 · 0.4914 · 0.9743 |
(15,23,33) |
| 1 | 0.4067 · 0.5738 · 0.9804 |
(2,21,33) |
| 1 | 0.3066 · 0.6865 · 0.9930 |
(17,19,21) |
| 1 | 0.3651 · 0.6331 · 0.9981 |
(3,19,20) |
| 1 | 0.3449 · 0.6878 · 1.0326 |
(2,3,10) |
| 1 | 0.4578 · 0.5941 · 1.0518 |
(1,5,14) |
| 1 | 0.3289 · 0.7364 · 1.0652 |
(0,4,13) |
| 1 | 0.4540 · 0.6296 · 1.0835 |
(14,20,30) |
| 1 | 0.0976 · 1.0133 · 1.1107 |
(4,23,28) |
| 1 | 0.1865 · 0.9586 · 1.1450 |
(16,18,29) |
| 1 | 0.4108 · 0.7361 · 1.1468 |
(9,21,26) |
| 1 | 0.2590 · 0.8899 · 1.1488 |
(7,14,25) |
| 1 | 0.1290 · 1.0464 · 1.1752 |
(0,12,24) |
| 1 | 0.4914 · 0.7158 · 1.2071 |
(14,15,33) |
| 1 | 0.6067 · 0.6240 · 1.2306 |
(7,11,31) |
| 1 | 0.4130 · 0.8588 · 1.2717 |
(11,19,28) |
| 1 | 0.4108 · 0.9038 · 1.3145 |
(10,21,26) |
| 1 | 0.4295 · 0.9000 · 1.3294 |
(27,30,33) |
| 1 | 0.3897 · 0.9634 · 1.3530 |
(10,13,16) |
| 1 | 0.5737 · 0.8160 · 1.3896 |
(14,18,19) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-08-03/triangle-n34. - Verified in exact arithmetic: all 5984 triples enumerated, 62 tied at the minimum.
- Friedman's page lists:
A = .003758+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
