Triangle, n = 28 record
A = 0.005702632159751…
full precision
Exact value of the published coordinate literals:
0.005702632159751318775918035034
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
51 triangles tied (within relative 10−9) at the minimal area, in 51 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0790 · 0.1883 · 0.2465 |
(11,13,16) |
| 1 | 0.0790 · 0.1968 · 0.2571 |
(11,16,26) |
| 1 | 0.1318 · 0.2113 · 0.3358 |
(7,9,23) |
| 1 | 0.1318 · 0.2170 · 0.3418 |
(5,7,9) |
| 1 | 0.1883 · 0.2489 · 0.4339 |
(13,15,16) |
| 1 | 0.1766 · 0.2769 · 0.4506 |
(20,23,24) |
| 1 | 0.1960 · 0.2979 · 0.4916 |
(0,18,25) |
| 1 | 0.2986 · 0.3207 · 0.6182 |
(8,16,21) |
| 1 | 0.1595 · 0.4681 · 0.6263 |
(2,17,22) |
| 1 | 0.1438 · 0.4919 · 0.6342 |
(2,18,20) |
| 1 | 0.2290 · 0.4308 · 0.6588 |
(2,6,23) |
| 1 | 0.1865 · 0.5255 · 0.7111 |
(12,21,23) |
| 1 | 0.2629 · 0.4919 · 0.7541 |
(2,15,20) |
| 1 | 0.3520 · 0.4055 · 0.7569 |
(7,15,24) |
| 1 | 0.2038 · 0.5560 · 0.7591 |
(8,17,23) |
| 1 | 0.2489 · 0.5467 · 0.7950 |
(13,15,23) |
| 1 | 0.2754 · 0.5288 · 0.8036 |
(1,5,27) |
| 1 | 0.3566 · 0.4681 · 0.8243 |
(2,17,26) |
| 1 | 0.1240 · 0.7028 · 0.8259 |
(4,12,24) |
| 1 | 0.2372 · 0.6002 · 0.8368 |
(5,6,21) |
| 1 | 0.3190 · 0.5347 · 0.8532 |
(7,14,18) |
| 1 | 0.2594 · 0.6034 · 0.8623 |
(6,19,25) |
| 1 | 0.3532 · 0.5189 · 0.8717 |
(4,19,22) |
| 1 | 0.1491 · 0.7338 · 0.8823 |
(0,8,20) |
| 1 | 0.3897 · 0.5055 · 0.8948 |
(2,8,13) |
| 1 | 0.3666 · 0.5295 · 0.8958 |
(10,12,15) |
| 1 | 0.3370 · 0.6026 · 0.9393 |
(1,2,12) |
| 1 | 0.2594 · 0.7372 · 0.9962 |
(3,7,10) |
| 1 | 0.2239 · 0.7752 · 0.9987 |
(20,25,27) |
| 1 | 0.4781 · 0.5347 · 1.0125 |
(7,18,27) |
| 1 | 0.1865 · 0.8271 · 1.0132 |
(11,12,23) |
| 1 | 0.1726 · 0.8799 · 1.0521 |
(0,19,26) |
| 1 | 0.2828 · 0.7856 · 1.0682 |
(17,21,27) |
| 1 | 0.2828 · 0.7872 · 1.0697 |
(17,19,21) |
| 1 | 0.1968 · 0.8799 · 1.0764 |
(0,11,26) |
| 1 | 0.3875 · 0.6925 · 1.0798 |
(11,22,25) |
| 1 | 0.3508 · 0.7695 · 1.1201 |
(0,4,13) |
| 1 | 0.3343 · 0.7970 · 1.1312 |
(8,10,22) |
| 1 | 0.3190 · 0.8235 · 1.1423 |
(7,14,25) |
| 1 | 0.2221 · 0.9319 · 1.1538 |
(1,13,21) |
| 1 | 0.3207 · 0.8368 · 1.1573 |
(5,16,21) |
| 1 | 0.2389 · 0.9195 · 1.1582 |
(4,9,14) |
| 1 | 0.2865 · 0.9062 · 1.1925 |
(0,3,23) |
| 1 | 0.3880 · 0.8465 · 1.2343 |
(3,15,27) |
| 1 | 0.5878 · 0.6588 · 1.2465 |
(2,23,27) |
| 1 | 0.4538 · 0.8036 · 1.2573 |
(5,10,27) |
| 1 | 0.5576 · 0.7068 · 1.2643 |
(14,24,26) |
| 1 | 0.2224 · 1.0485 · 1.2706 |
(9,10,26) |
| 1 | 0.4300 · 0.8829 · 1.3127 |
(16,22,27) |
| 1 | 0.4538 · 0.8667 · 1.3204 |
(5,10,19) |
| 1 | 0.5567 · 0.7679 · 1.3245 |
(0,2,14) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-07-25/triangle-n28. - Verified in exact arithmetic: all 3276 triples enumerated, 51 tied at the minimum.
- Friedman's page lists:
A = .005702+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
