Triangle, n = 23 record
A = 0.009094162603057…
full precision
Exact value of the published coordinate literals:
0.009094162603057439065550294723
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
41 triangles tied (within relative 10−9) at the minimal area, in 41 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.2188 · 0.2300 · 0.4411 |
(9,11,14) |
| 1 | 0.2278 · 0.2340 · 0.4548 |
(4,6,7) |
| 1 | 0.1612 · 0.4591 · 0.6165 |
(11,15,18) |
| 1 | 0.3077 · 0.3562 · 0.6616 |
(4,10,18) |
| 1 | 0.2394 · 0.4374 · 0.6745 |
(5,9,17) |
| 1 | 0.2458 · 0.4316 · 0.6751 |
(4,8,16) |
| 1 | 0.2458 · 0.4372 · 0.6807 |
(0,4,8) |
| 1 | 0.2324 · 0.4517 · 0.6817 |
(20,21,22) |
| 1 | 0.2394 · 0.4711 · 0.7084 |
(1,5,9) |
| 1 | 0.2675 · 0.4461 · 0.7117 |
(7,12,16) |
| 1 | 0.2900 · 0.4299 · 0.7180 |
(14,18,20) |
| 1 | 0.2774 · 0.4464 · 0.7219 |
(6,13,17) |
| 1 | 0.2718 · 0.4527 · 0.7227 |
(0,3,10) |
| 1 | 0.3064 · 0.4191 · 0.7237 |
(4,12,20) |
| 1 | 0.3299 · 0.4022 · 0.7304 |
(16,18,21) |
| 1 | 0.2958 · 0.4478 · 0.7419 |
(1,2,11) |
| 1 | 0.2929 · 0.4565 · 0.7477 |
(14,15,16) |
| 1 | 0.2070 · 0.6246 · 0.8301 |
(2,14,21) |
| 1 | 0.2675 · 0.5665 · 0.8327 |
(3,12,16) |
| 1 | 0.2188 · 0.6165 · 0.8339 |
(9,11,18) |
| 1 | 0.2718 · 0.5665 · 0.8370 |
(0,3,12) |
| 1 | 0.2900 · 0.5506 · 0.8393 |
(18,19,20) |
| 1 | 0.2774 · 0.5655 · 0.8416 |
(2,13,17) |
| 1 | 0.2082 · 0.6441 · 0.8508 |
(3,15,22) |
| 1 | 0.2274 · 0.6266 · 0.8526 |
(5,6,12) |
| 1 | 0.2958 · 0.5655 · 0.8602 |
(1,2,13) |
| 1 | 0.2274 · 0.6359 · 0.8620 |
(8,10,19) |
| 1 | 0.2278 · 0.6418 · 0.8683 |
(4,7,13) |
| 1 | 0.1612 · 0.7103 · 0.8698 |
(5,15,18) |
| 1 | 0.1778 · 0.6939 · 0.8702 |
(2,6,22) |
| 1 | 0.3299 · 0.5506 · 0.8794 |
(16,18,19) |
| 1 | 0.1823 · 0.7114 · 0.8923 |
(3,7,21) |
| 1 | 0.1763 · 0.7259 · 0.9007 |
(9,10,12) |
| 1 | 0.1709 · 0.7363 · 0.9057 |
(8,11,13) |
| 1 | 0.4331 · 0.5922 · 1.0247 |
(13,15,20) |
| 1 | 0.4423 · 0.5906 · 1.0323 |
(2,10,20) |
| 1 | 0.4734 · 0.5875 · 1.0604 |
(0,6,19) |
| 1 | 0.4581 · 0.6047 · 1.0623 |
(12,14,17) |
| 1 | 0.3105 · 0.8327 · 1.1426 |
(1,3,16) |
| 1 | 0.3183 · 0.8393 · 1.1570 |
(17,19,20) |
| 1 | 0.3335 · 0.8416 · 1.1746 |
(0,2,17) |
Provenance
- Found by Nathan Sudermann-Merx, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-08-20/triangle-n23. - Verified in exact arithmetic: all 1771 triples enumerated, 41 tied at the minimum.
- Friedman's page lists:
A = .009080+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
