Convex, n = 23 record reconstructed coords
A = 0.011082485280563…
full precision
Exact value of the published coordinate literals:
0.0110824852805632175275321428938
Symmetry
Not symmetric (group C1, order 1). (Friedman's page says: no symmetry.)
Minimal triangles
38 triangles tied (within relative 10−9) at the minimal area, in 38 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 38.8073 · 43.1382 · 80.4414 |
(0,7,13) |
| 1 | 42.0942 · 44.0108 · 84.8230 |
(8,17,21) |
| 1 | 31.4487 · 83.2684 · 114.0498 |
(1,7,17) |
| 1 | 39.1900 · 84.4472 · 123.1504 |
(13,19,22) |
| 1 | 42.5788 · 81.1254 · 123.2385 |
(4,11,12) |
| 1 | 43.1649 · 80.7165 · 123.4204 |
(8,16,18) |
| 1 | 42.5788 · 85.7099 · 127.8641 |
(11,12,14) |
| 1 | 43.1649 · 85.1522 · 127.8956 |
(8,10,16) |
| 1 | 50.1307 · 81.0963 · 130.8549 |
(3,4,6) |
| 1 | 49.9116 · 81.7619 · 131.3042 |
(2,9,18) |
| 1 | 53.4973 · 78.7048 · 131.8458 |
(0,1,19) |
| 1 | 60.7606 · 71.6780 · 132.0949 |
(1,13,18) |
| 1 | 52.5885 · 82.9236 · 135.1766 |
(5,10,21) |
| 1 | 52.9103 · 83.1290 · 135.7080 |
(7,14,15) |
| 1 | 60.5045 · 84.0513 · 144.2865 |
(0,12,22) |
| 1 | 53.4973 · 100.7145 · 153.9737 |
(1,19,20) |
| 1 | 49.9116 · 104.6667 · 154.3332 |
(5,9,18) |
| 1 | 50.1307 · 104.4492 · 154.3355 |
(3,4,15) |
| 1 | 42.3033 · 114.0498 · 156.0906 |
(1,7,12) |
| 1 | 39.9234 · 117.0032 · 156.6563 |
(5,17,22) |
| 1 | 52.5885 · 104.6667 · 157.0267 |
(5,9,10) |
| 1 | 52.9103 · 104.4492 · 157.1321 |
(3,14,15) |
| 1 | 42.0942 · 115.9553 · 157.7929 |
(8,20,21) |
| 1 | 43.1060 · 116.1221 · 158.9797 |
(2,3,16) |
| 1 | 43.1333 · 116.9280 · 159.8162 |
(6,9,11) |
| 1 | 60.7606 · 100.7145 · 161.2751 |
(1,18,20) |
| 1 | 34.1630 · 128.4024 · 162.2874 |
(2,5,13) |
| 1 | 34.3909 · 129.5629 · 163.6825 |
(6,15,22) |
| 1 | 31.4487 · 132.5147 · 163.6732 |
(1,11,17) |
| 1 | 32.3052 · 132.9174 · 164.9432 |
(0,16,20) |
| 1 | 32.0151 · 134.6733 · 166.4126 |
(3,7,8) |
| 1 | 32.4112 · 134.7159 · 166.8555 |
(9,12,21) |
| 1 | 83.8537 · 109.6953 · 193.4382 |
(0,4,9) |
| 1 | 82.5942 · 111.7022 · 194.1863 |
(15,19,21) |
| 1 | 86.8711 · 108.1151 · 194.8785 |
(6,10,20) |
| 1 | 50.1307 · 163.7867 · 213.8050 |
(3,4,10) |
| 1 | 52.5885 · 161.5709 · 214.0510 |
(5,10,19) |
| 1 | 60.5149 · 154.3332 · 214.7498 |
(5,14,18) |
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 1771 triples enumerated, 38 tied at the minimum.
- Friedman's page lists:
A = .01108+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
