Triangle, n = 22 record
A = 0.009313228102552…
full precision
Exact value of the published coordinate literals:
0.009313228102552367579758425778
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
38 triangles tied (within relative 10−9) at the minimal area, in 38 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0719 · 0.2645 · 0.2879 |
(12,16,18) |
| 1 | 0.1803 · 0.2278 · 0.3970 |
(19,20,21) |
| 1 | 0.1934 · 0.2297 · 0.4133 |
(11,15,20) |
| 1 | 0.2042 · 0.2356 · 0.4312 |
(10,14,21) |
| 1 | 0.2380 · 0.2394 · 0.4708 |
(4,6,7) |
| 1 | 0.2988 · 0.3352 · 0.6313 |
(5,11,19) |
| 1 | 0.2360 · 0.4247 · 0.6581 |
(4,8,16) |
| 1 | 0.2398 · 0.4243 · 0.6615 |
(5,9,17) |
| 1 | 0.2195 · 0.4590 · 0.6759 |
(9,11,14) |
| 1 | 0.2360 · 0.4499 · 0.6835 |
(0,4,8) |
| 1 | 0.2879 · 0.4069 · 0.6926 |
(4,12,18) |
| 1 | 0.2645 · 0.4350 · 0.6973 |
(6,12,16) |
| 1 | 0.2723 · 0.4466 · 0.7169 |
(7,13,17) |
| 1 | 0.3251 · 0.3970 · 0.7202 |
(17,19,21) |
| 1 | 0.2796 · 0.4476 · 0.7253 |
(0,2,10) |
| 1 | 0.2398 · 0.4903 · 0.7281 |
(1,5,9) |
| 1 | 0.3047 · 0.4482 · 0.7513 |
(1,3,11) |
| 1 | 0.1934 · 0.6207 · 0.8124 |
(3,15,20) |
| 1 | 0.2645 · 0.5563 · 0.8193 |
(2,12,16) |
| 1 | 0.2042 · 0.6326 · 0.8352 |
(2,14,21) |
| 1 | 0.2723 · 0.5677 · 0.8387 |
(3,13,17) |
| 1 | 0.1835 · 0.6720 · 0.8538 |
(3,7,21) |
| 1 | 0.2355 · 0.6210 · 0.8552 |
(5,7,12) |
| 1 | 0.2335 · 0.6339 · 0.8661 |
(8,10,19) |
| 1 | 0.3047 · 0.5677 · 0.8713 |
(1,3,13) |
| 1 | 0.1867 · 0.6928 · 0.8779 |
(2,6,20) |
| 1 | 0.2380 · 0.6492 · 0.8860 |
(4,6,13) |
| 1 | 0.1688 · 0.7389 · 0.9061 |
(4,15,19) |
| 1 | 0.1726 · 0.7381 · 0.9091 |
(9,10,12) |
| 1 | 0.1716 · 0.7514 · 0.9215 |
(8,11,13) |
| 1 | 0.4192 · 0.5911 · 1.0096 |
(3,10,18) |
| 1 | 0.4202 · 0.5949 · 1.0144 |
(13,14,18) |
| 1 | 0.4555 · 0.5949 · 1.0498 |
(13,14,16) |
| 1 | 0.4888 · 0.5723 · 1.0604 |
(0,7,19) |
| 1 | 0.2796 · 0.8428 · 1.1218 |
(0,2,18) |
| 1 | 0.3187 · 0.8193 · 1.1375 |
(1,2,16) |
| 1 | 0.3251 · 0.8265 · 1.1511 |
(17,18,19) |
| 1 | 0.3452 · 0.8387 · 1.1834 |
(0,3,17) |
Provenance
- Found by Nathan Sudermann-Merx, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-08-20/triangle-n22. - Verified in exact arithmetic: all 1540 triples enumerated, 38 tied at the minimum.
- Friedman's page lists:
A = .009275+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
