Triangle, n = 19 record reconstructed coords
A = 0.011705275921652…
full precision
Exact value of the published coordinate literals:
0.01170527592165227387837754723
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
30 triangles tied (within relative 10−9) at the minimal area, in 30 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.1404 · 0.1672 · 0.2101 |
(5,6,9) |
| 1 | 0.0976 · 0.2434 · 0.2772 |
(0,4,18) |
| 1 | 0.1672 · 0.3504 · 0.5081 |
(5,6,7) |
| 1 | 0.1981 · 0.4669 · 0.6604 |
(2,8,10) |
| 1 | 0.2342 · 0.4507 · 0.6811 |
(8,13,16) |
| 1 | 0.3038 · 0.4266 · 0.7274 |
(3,10,13) |
| 1 | 0.2137 · 0.5377 · 0.7482 |
(1,6,10) |
| 1 | 0.2466 · 0.5122 · 0.7559 |
(1,2,12) |
| 1 | 0.2983 · 0.4707 · 0.7664 |
(7,12,16) |
| 1 | 0.1404 · 0.6424 · 0.7789 |
(1,5,9) |
| 1 | 0.1752 · 0.6247 · 0.7967 |
(12,13,14) |
| 1 | 0.3504 · 0.4707 · 0.8191 |
(6,7,12) |
| 1 | 0.3372 · 0.4906 · 0.8258 |
(14,15,16) |
| 1 | 0.4266 · 0.4544 · 0.8794 |
(9,10,13) |
| 1 | 0.2342 · 0.6717 · 0.9040 |
(1,8,16) |
| 1 | 0.4590 · 0.4763 · 0.9340 |
(0,3,8) |
| 1 | 0.3587 · 0.6312 · 0.9887 |
(3,16,17) |
| 1 | 0.4925 · 0.5122 · 1.0036 |
(2,4,12) |
| 1 | 0.3972 · 0.6206 · 1.0168 |
(2,9,15) |
| 1 | 0.2466 · 0.7806 · 1.0257 |
(0,1,2) |
| 1 | 0.4507 · 0.5874 · 1.0371 |
(8,13,18) |
| 1 | 0.4340 · 0.6312 · 1.0643 |
(3,4,16) |
| 1 | 0.5281 · 0.5840 · 1.1113 |
(5,10,14) |
| 1 | 0.4622 · 0.7332 · 1.1947 |
(7,13,17) |
| 1 | 0.2772 · 0.9701 · 1.2465 |
(0,6,18) |
| 1 | 0.5239 · 0.7539 · 1.2773 |
(0,15,17) |
| 1 | 0.6376 · 0.6424 · 1.2795 |
(1,9,17) |
| 1 | 0.5602 · 0.7371 · 1.2967 |
(2,3,5) |
| 1 | 0.3715 · 0.9887 · 1.3597 |
(16,17,18) |
| 1 | 0.3091 · 1.0599 · 1.3683 |
(6,14,17) |
Provenance
- Found by Nathan Sudermann-Merx, August 2026.
- Coordinates reconstructed by local optimization:
heilbronn-site reconstruct/reconstruct.py— re-polished from the published record figure — the record holder's arrangement with re-derived coordinates. - Verified in exact arithmetic: all 969 triples enumerated, 30 tied at the minimum.
- Friedman's page lists:
A = .01170+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
