Triangle, n = 26 record
A = 0.006491653839890…
full precision
Exact value of the published coordinate literals:
0.006491653839890752795146783846
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
47 triangles tied (within relative 10−9) at the minimal area, in 47 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0992 · 0.1390 · 0.1962 |
(11,13,16) |
| 1 | 0.1528 · 0.1766 · 0.3190 |
(0,1,25) |
| 1 | 0.1273 · 0.2407 · 0.3600 |
(5,7,9) |
| 1 | 0.1535 · 0.2498 · 0.3977 |
(21,22,23) |
| 1 | 0.1535 · 0.2784 · 0.4273 |
(17,21,23) |
| 1 | 0.1619 · 0.3438 · 0.5027 |
(11,15,23) |
| 1 | 0.2498 · 0.2736 · 0.5210 |
(15,21,22) |
| 1 | 0.2511 · 0.3190 · 0.5683 |
(13,20,23) |
| 1 | 0.1679 · 0.4053 · 0.5710 |
(4,8,20) |
| 1 | 0.2340 · 0.3647 · 0.5970 |
(1,2,6) |
| 1 | 0.1718 · 0.4438 · 0.6138 |
(2,17,22) |
| 1 | 0.1618 · 0.5014 · 0.6616 |
(2,18,24) |
| 1 | 0.1535 · 0.5316 · 0.6836 |
(4,21,23) |
| 1 | 0.2679 · 0.4785 · 0.7455 |
(2,15,20) |
| 1 | 0.2340 · 0.5216 · 0.7547 |
(9,10,20) |
| 1 | 0.3654 · 0.3948 · 0.7595 |
(2,8,23) |
| 1 | 0.2562 · 0.5298 · 0.7853 |
(1,3,22) |
| 1 | 0.3355 · 0.4703 · 0.8052 |
(4,16,22) |
| 1 | 0.2850 · 0.5216 · 0.8059 |
(9,20,21) |
| 1 | 0.2358 · 0.5822 · 0.8172 |
(5,6,21) |
| 1 | 0.3353 · 0.4882 · 0.8229 |
(2,7,14) |
| 1 | 0.2339 · 0.6288 · 0.8620 |
(6,19,25) |
| 1 | 0.3644 · 0.5334 · 0.8973 |
(10,12,15) |
| 1 | 0.3948 · 0.5129 · 0.9073 |
(8,18,23) |
| 1 | 0.2170 · 0.6965 · 0.9129 |
(1,9,18) |
| 1 | 0.3421 · 0.5872 · 0.9289 |
(7,8,22) |
| 1 | 0.1664 · 0.8195 · 0.9852 |
(3,23,25) |
| 1 | 0.3647 · 0.6220 · 0.9863 |
(1,2,12) |
| 1 | 0.3864 · 0.6248 · 1.0109 |
(3,19,20) |
| 1 | 0.1664 · 0.8623 · 1.0281 |
(3,15,25) |
| 1 | 0.4595 · 0.5914 · 1.0506 |
(14,21,24) |
| 1 | 0.2939 · 0.7580 · 1.0515 |
(2,3,10) |
| 1 | 0.3788 · 0.6798 · 1.0583 |
(11,22,25) |
| 1 | 0.2511 · 0.8512 · 1.1019 |
(7,13,23) |
| 1 | 0.1332 · 0.9793 · 1.1120 |
(0,12,24) |
| 1 | 0.3313 · 0.7897 · 1.1207 |
(13,18,21) |
| 1 | 0.2358 · 0.8937 · 1.1291 |
(5,6,13) |
| 1 | 0.5651 · 0.5723 · 1.1372 |
(1,5,14) |
| 1 | 0.4703 · 0.6798 · 1.1499 |
(16,22,25) |
| 1 | 0.4273 · 0.7571 · 1.1841 |
(17,19,23) |
| 1 | 0.1729 · 1.0378 · 1.2103 |
(0,11,19) |
| 1 | 0.3353 · 0.8790 · 1.2141 |
(7,14,25) |
| 1 | 0.3795 · 0.8886 · 1.2679 |
(13,14,15) |
| 1 | 0.5109 · 0.8524 · 1.3631 |
(10,18,19) |
| 1 | 0.3353 · 1.0375 · 1.3727 |
(0,7,14) |
| 1 | 0.3543 · 1.0309 · 1.3850 |
(10,16,23) |
| 1 | 0.5109 · 0.9259 · 1.4367 |
(14,18,19) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-07-25/triangle-n26. - Verified in exact arithmetic: all 2600 triples enumerated, 47 tied at the minimum.
- Friedman's page lists:
A = .006491+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
