Triangle, n = 30 record
A = 0.005098054758509…
full precision
Exact value of the published coordinate literals:
0.005098054758509518367547747586
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
55 triangles tied (within relative 10−9) at the minimal area, in 55 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0801 · 0.1649 · 0.2245 |
(11,13,16) |
| 1 | 0.0801 · 0.1741 · 0.2361 |
(11,16,26) |
| 1 | 0.0718 · 0.1856 · 0.2383 |
(0,19,27) |
| 1 | 0.1138 · 0.1954 · 0.3012 |
(7,9,23) |
| 1 | 0.1782 · 0.2491 · 0.4246 |
(20,23,24) |
| 1 | 0.1649 · 0.2876 · 0.4501 |
(13,15,16) |
| 1 | 0.1512 · 0.3491 · 0.4984 |
(2,17,29) |
| 1 | 0.2094 · 0.3162 · 0.5241 |
(6,9,14) |
| 1 | 0.2236 · 0.3077 · 0.5299 |
(0,18,25) |
| 1 | 0.2442 · 0.2889 · 0.5318 |
(0,3,29) |
| 1 | 0.1856 · 0.3495 · 0.5336 |
(0,19,28) |
| 1 | 0.2336 · 0.3646 · 0.5972 |
(1,2,6) |
| 1 | 0.2336 · 0.3648 · 0.5973 |
(2,6,23) |
| 1 | 0.2592 · 0.3650 · 0.6233 |
(25,27,29) |
| 1 | 0.3100 · 0.3323 · 0.6415 |
(8,16,21) |
| 1 | 0.1664 · 0.4984 · 0.6638 |
(2,17,22) |
| 1 | 0.2221 · 0.4513 · 0.6727 |
(2,7,10) |
| 1 | 0.1741 · 0.5292 · 0.7025 |
(11,26,28) |
| 1 | 0.1704 · 0.5433 · 0.7129 |
(12,21,23) |
| 1 | 0.3491 · 0.3678 · 0.7164 |
(17,26,29) |
| 1 | 0.3592 · 0.3986 · 0.7572 |
(7,15,24) |
| 1 | 0.3342 · 0.4294 · 0.7631 |
(4,5,29) |
| 1 | 0.3186 · 0.4511 · 0.7692 |
(15,17,28) |
| 1 | 0.2889 · 0.5145 · 0.8030 |
(0,3,6) |
| 1 | 0.1436 · 0.6773 · 0.8202 |
(3,21,25) |
| 1 | 0.2870 · 0.5433 · 0.8299 |
(12,21,26) |
| 1 | 0.2876 · 0.5463 · 0.8335 |
(13,15,23) |
| 1 | 0.3973 · 0.4508 · 0.8477 |
(3,8,27) |
| 1 | 0.3136 · 0.5416 · 0.8549 |
(6,8,26) |
| 1 | 0.2809 · 0.5774 · 0.8579 |
(1,5,27) |
| 1 | 0.1591 · 0.7103 · 0.8689 |
(0,8,20) |
| 1 | 0.3495 · 0.5292 · 0.8784 |
(0,26,28) |
| 1 | 0.3805 · 0.5072 · 0.8873 |
(10,12,15) |
| 1 | 0.3649 · 0.5302 · 0.8948 |
(2,8,13) |
| 1 | 0.3104 · 0.6727 · 0.9829 |
(2,3,10) |
| 1 | 0.3947 · 0.6041 · 0.9986 |
(3,19,20) |
| 1 | 0.2592 · 0.7402 · 0.9991 |
(20,25,27) |
| 1 | 0.2274 · 0.7916 · 1.0187 |
(8,14,17) |
| 1 | 0.3677 · 0.6571 · 1.0247 |
(1,8,15) |
| 1 | 0.1187 · 0.9109 · 1.0291 |
(4,9,28) |
| 1 | 0.1704 · 0.8627 · 1.0328 |
(11,12,23) |
| 1 | 0.2605 · 0.7795 · 1.0397 |
(17,19,21) |
| 1 | 0.2418 · 0.8045 · 1.0460 |
(5,6,13) |
| 1 | 0.4357 · 0.6317 · 1.0672 |
(19,24,29) |
| 1 | 0.2646 · 0.8283 · 1.0927 |
(7,14,25) |
| 1 | 0.2570 · 0.8614 · 1.1182 |
(16,18,29) |
| 1 | 0.4791 · 0.6662 · 1.1452 |
(12,13,14) |
| 1 | 0.3479 · 0.8116 · 1.1593 |
(9,11,24) |
| 1 | 0.2889 · 0.8719 · 1.1606 |
(0,3,23) |
| 1 | 0.5344 · 0.6831 · 1.2174 |
(1,16,17) |
| 1 | 0.5340 · 0.7602 · 1.2941 |
(14,24,26) |
| 1 | 0.3966 · 0.8979 · 1.2944 |
(5,10,19) |
| 1 | 0.5900 · 0.7134 · 1.3033 |
(0,2,14) |
| 1 | 0.2029 · 1.1007 · 1.3034 |
(9,10,26) |
| 1 | 0.4132 · 0.9015 · 1.3146 |
(16,22,27) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-07-25/triangle-n30. - Verified in exact arithmetic: all 4060 triples enumerated, 55 tied at the minimum.
- Friedman's page lists:
A = .005098+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
