Triangle, n = 27 record
A = 0.006361175573558…
full precision
Exact value of the published coordinate literals:
0.006361175573558576476584270568
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 | 0.0843 · 0.2562 · 0.3281 |
(11,16,26) |
| 1 | 0.1477 · 0.2149 · 0.3553 |
(5,7,9) |
| 1 | 0.1734 · 0.2693 · 0.4387 |
(21,22,23) |
| 1 | 0.1291 · 0.3329 · 0.4578 |
(8,12,24) |
| 1 | 0.2005 · 0.2926 · 0.4903 |
(0,18,25) |
| 1 | 0.1968 · 0.3195 · 0.5138 |
(13,20,23) |
| 1 | 0.1829 · 0.4130 · 0.5941 |
(2,17,22) |
| 1 | 0.2524 · 0.3655 · 0.6165 |
(1,3,17) |
| 1 | 0.1714 · 0.4538 · 0.6235 |
(4,8,20) |
| 1 | 0.1606 · 0.4903 · 0.6493 |
(2,18,24) |
| 1 | 0.1819 · 0.4698 · 0.6503 |
(6,7,17) |
| 1 | 0.2926 · 0.3655 · 0.6569 |
(5,18,25) |
| 1 | 0.1968 · 0.4640 · 0.6594 |
(13,23,24) |
| 1 | 0.1931 · 0.4976 · 0.6895 |
(3,22,26) |
| 1 | 0.2129 · 0.4855 · 0.6973 |
(9,10,20) |
| 1 | 0.2149 · 0.4847 · 0.6986 |
(7,9,18) |
| 1 | 0.3414 · 0.3611 · 0.7016 |
(12,13,15) |
| 1 | 0.2564 · 0.4462 · 0.7016 |
(2,15,20) |
| 1 | 0.3647 · 0.4130 · 0.7770 |
(2,17,26) |
| 1 | 0.3644 · 0.4143 · 0.7780 |
(2,7,14) |
| 1 | 0.2562 · 0.5254 · 0.7808 |
(4,11,26) |
| 1 | 0.2997 · 0.4855 · 0.7845 |
(9,20,21) |
| 1 | 0.2894 · 0.5111 · 0.7998 |
(6,8,26) |
| 1 | 0.3611 · 0.4569 · 0.8174 |
(10,12,15) |
| 1 | 0.3195 · 0.5076 · 0.8266 |
(5,20,23) |
| 1 | 0.2558 · 0.6320 · 0.8872 |
(6,19,25) |
| 1 | 0.1291 · 0.7780 · 0.9062 |
(4,12,24) |
| 1 | 0.3655 · 0.5607 · 0.9258 |
(3,13,17) |
| 1 | 0.2523 · 0.6986 · 0.9504 |
(1,9,18) |
| 1 | 0.1600 · 0.8275 · 0.9868 |
(0,19,26) |
| 1 | 0.1738 · 0.8350 · 1.0082 |
(3,15,25) |
| 1 | 0.4009 · 0.6097 · 1.0102 |
(1,2,12) |
| 1 | 0.4161 · 0.6084 · 1.0242 |
(3,19,20) |
| 1 | 0.3958 · 0.6626 · 1.0581 |
(1,8,15) |
| 1 | 0.5330 · 0.5607 · 1.0935 |
(13,17,25) |
| 1 | 0.4844 · 0.6102 · 1.0944 |
(1,5,10) |
| 1 | 0.4179 · 0.7016 · 1.1192 |
(12,13,14) |
| 1 | 0.4016 · 0.7195 · 1.1208 |
(7,11,21) |
| 1 | 0.1291 · 1.0287 · 1.1572 |
(0,12,24) |
| 1 | 0.5500 · 0.6139 · 1.1637 |
(4,6,10) |
| 1 | 0.3021 · 0.8667 · 1.1685 |
(9,16,24) |
| 1 | 0.3021 · 0.8708 · 1.1727 |
(9,11,24) |
| 1 | 0.2562 · 0.9868 · 1.2427 |
(11,19,26) |
| 1 | 0.2524 · 0.9946 · 1.2467 |
(1,3,16) |
| 1 | 0.2129 · 1.0629 · 1.2755 |
(9,10,26) |
| 1 | 0.4179 · 0.9208 · 1.3386 |
(12,14,16) |
| 1 | 0.5902 · 0.7780 · 1.3681 |
(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-n27. - Verified in exact arithmetic: all 2925 triples enumerated, 47 tied at the minimum.
- Friedman's page lists:
A = .006361+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
