Triangle, n = 17 record reconstructed coords
A = 0.015533675027841…
full precision
Exact value of the published coordinate literals:
0.01553367502784164290615081042
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
29 triangles tied (within relative 10−9) at the minimal area, in 29 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.1468 · 0.2781 · 0.3897 |
(8,12,15) |
| 1 | 0.1382 · 0.3005 · 0.4057 |
(4,14,16) |
| 1 | 0.1562 · 0.2844 · 0.4108 |
(3,5,6) |
| 1 | 0.1468 · 0.3112 · 0.4306 |
(9,12,15) |
| 1 | 0.2259 · 0.2782 · 0.4876 |
(1,7,10) |
| 1 | 0.2340 · 0.2991 · 0.5193 |
(0,2,3) |
| 1 | 0.2466 · 0.3026 · 0.5367 |
(1,9,13) |
| 1 | 0.2380 · 0.3276 · 0.5540 |
(2,8,11) |
| 1 | 0.2613 · 0.3158 · 0.5664 |
(0,13,16) |
| 1 | 0.2781 · 0.4219 · 0.6940 |
(3,8,12) |
| 1 | 0.2844 · 0.4219 · 0.7004 |
(3,6,8) |
| 1 | 0.3005 · 0.4709 · 0.7670 |
(9,14,16) |
| 1 | 0.3112 · 0.4709 · 0.7779 |
(9,15,16) |
| 1 | 0.2259 · 0.5705 · 0.7917 |
(7,10,14) |
| 1 | 0.3151 · 0.5540 · 0.8659 |
(8,10,11) |
| 1 | 0.3471 · 0.5664 · 0.9108 |
(0,8,16) |
| 1 | 0.4824 · 0.4845 · 0.9647 |
(2,6,12) |
| 1 | 0.5025 · 0.5176 · 1.0182 |
(4,5,7) |
| 1 | 0.3122 · 0.7160 · 1.0261 |
(0,6,9) |
| 1 | 0.3196 · 0.7293 · 1.0469 |
(1,5,16) |
| 1 | 0.3151 · 0.7479 · 1.0611 |
(10,11,12) |
| 1 | 0.5325 · 0.5373 · 1.0683 |
(13,14,15) |
| 1 | 0.3901 · 0.6843 · 1.0727 |
(0,10,15) |
| 1 | 0.5176 · 0.5705 · 1.0866 |
(5,7,14) |
| 1 | 0.3926 · 0.6980 · 1.0890 |
(6,11,16) |
| 1 | 0.5025 · 0.6124 · 1.1134 |
(4,6,7) |
| 1 | 0.3564 · 0.7770 · 1.1319 |
(3,4,11) |
| 1 | 0.4158 · 0.7382 · 1.1526 |
(1,3,14) |
| 1 | 0.5373 · 0.6225 · 1.1586 |
(12,13,14) |
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 680 triples enumerated, 29 tied at the minimum.
- Friedman's page lists:
A = .01553+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
