Convex, n = 22 record reconstructed coords
A = 0.012254962789776…
full precision
Exact value of the published coordinate literals:
0.0122549627897763988736409431848
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 | 41.1489 · 42.5726 · 82.2094 |
(10,16,21) |
| 1 | 41.2336 · 42.5726 · 82.2990 |
(7,16,21) |
| 1 | 40.9916 · 43.8006 · 83.3388 |
(0,3,17) |
| 1 | 41.1105 · 43.9155 · 83.5853 |
(1,2,8) |
| 1 | 32.2683 · 84.5064 · 116.0975 |
(8,12,16) |
| 1 | 32.3292 · 84.7385 · 116.3954 |
(3,19,21) |
| 1 | 42.6860 · 83.4096 · 125.6187 |
(1,5,7) |
| 1 | 42.7990 · 83.5742 · 125.8996 |
(0,10,11) |
| 1 | 42.5643 · 84.5106 · 126.6067 |
(9,15,20) |
| 1 | 42.5643 · 84.6004 · 126.6973 |
(6,9,15) |
| 1 | 52.3154 · 81.8539 · 133.7979 |
(5,12,21) |
| 1 | 52.4654 · 82.0985 · 134.1956 |
(11,16,19) |
| 1 | 52.1308 · 82.5524 · 134.3149 |
(6,13,17) |
| 1 | 52.1674 · 82.6793 · 134.4798 |
(2,4,20) |
| 1 | 52.3154 · 104.7708 · 156.8391 |
(5,12,14) |
| 1 | 41.1489 · 116.0975 · 156.9627 |
(10,12,16) |
| 1 | 52.1308 · 105.3228 · 157.2074 |
(4,6,13) |
| 1 | 52.1674 · 105.3228 · 157.2443 |
(4,13,20) |
| 1 | 52.4654 · 105.0419 · 157.2621 |
(11,18,19) |
| 1 | 41.2336 · 116.3954 · 157.3474 |
(7,19,21) |
| 1 | 40.9916 · 118.0897 · 158.8047 |
(0,3,13) |
| 1 | 41.1105 · 118.3974 · 159.2336 |
(1,4,8) |
| 1 | 43.9025 · 117.7009 · 161.3483 |
(15,17,18) |
| 1 | 43.9360 · 117.7031 · 161.3843 |
(2,9,14) |
| 1 | 60.3101 · 104.7708 · 164.8771 |
(6,12,14) |
| 1 | 60.4444 · 105.0419 · 165.2839 |
(18,19,20) |
| 1 | 33.8380 · 131.6957 · 165.2446 |
(2,10,13) |
| 1 | 32.2683 · 133.3842 · 165.3533 |
(0,8,12) |
| 1 | 32.3292 · 133.5325 · 165.5638 |
(1,3,19) |
| 1 | 33.9379 · 132.0853 · 165.7367 |
(4,7,17) |
| 1 | 33.9390 · 134.6177 · 168.2799 |
(9,16,18) |
| 1 | 33.9745 · 134.8587 · 168.5576 |
(14,15,21) |
| 1 | 85.5189 · 109.9823 · 195.3858 |
(2,5,19) |
| 1 | 85.6075 · 110.1377 · 195.6303 |
(11,12,17) |
| 1 | 85.8073 · 110.6500 · 196.3436 |
(6,8,18) |
| 1 | 86.0596 · 110.9803 · 196.9271 |
(3,14,20) |
| 1 | 52.1308 · 163.9617 · 215.9775 |
(6,11,13) |
| 1 | 52.1674 · 164.0033 · 216.0559 |
(4,5,20) |
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 1540 triples enumerated, 38 tied at the minimum.
- Friedman's page lists:
A = .01225+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
