Convex, n = 25 record reconstructed coords
A = 0.008877423784282…
full precision
Exact value of the published coordinate literals:
0.00887742378428225896456099174836
Symmetry
Not symmetric (group C1, order 1). (Friedman's page says: no symmetry.)
Minimal triangles
44 triangles tied (within relative 10−9) at the minimal area, in 44 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 32.1943 · 61.2758 · 92.5010 |
(4,5,23) |
| 1 | 32.7801 · 60.8447 · 92.6684 |
(17,19,23) |
| 1 | 33.8121 · 60.6771 · 93.5694 |
(2,19,20) |
| 1 | 35.0306 · 59.9643 · 94.1023 |
(1,9,17) |
| 1 | 34.4099 · 60.9937 · 94.5141 |
(5,9,20) |
| 1 | 32.7801 · 63.4596 · 95.3497 |
(15,17,19) |
| 1 | 34.4099 · 62.2363 · 95.7866 |
(5,18,20) |
| 1 | 31.6147 · 65.7344 · 96.4686 |
(12,13,14) |
| 1 | 36.1079 · 61.3663 · 96.6518 |
(4,15,16) |
| 1 | 36.1079 · 61.6191 · 96.9102 |
(4,16,21) |
| 1 | 33.8121 · 64.0758 · 97.0495 |
(19,20,21) |
| 1 | 32.1943 · 66.4480 · 97.7992 |
(0,4,5) |
| 1 | 35.0306 · 64.2854 · 98.5224 |
(0,1,17) |
| 1 | 32.2949 · 67.7468 · 99.2298 |
(6,11,24) |
| 1 | 32.2873 · 68.3832 · 99.8713 |
(3,8,14) |
| 1 | 40.4883 · 68.9849 · 108.8971 |
(21,22,23) |
| 1 | 40.7225 · 75.9391 · 116.1746 |
(4,18,19) |
| 1 | 62.7683 · 108.6963 · 171.3157 |
(2,13,24) |
| 1 | 66.1664 · 107.7998 · 173.8259 |
(8,10,23) |
| 1 | 81.3356 · 92.6684 · 173.8713 |
(13,17,23) |
| 1 | 78.7186 · 95.3497 · 173.9351 |
(6,15,19) |
| 1 | 60.9649 · 113.2680 · 174.0882 |
(6,9,14) |
| 1 | 78.1176 · 97.0495 · 175.0361 |
(3,19,21) |
| 1 | 41.2476 · 133.9544 · 175.0220 |
(2,3,7) |
| 1 | 42.7851 · 133.2305 · 175.8419 |
(0,7,22) |
| 1 | 79.3622 · 96.9102 · 176.1440 |
(12,16,21) |
| 1 | 80.5533 · 96.6518 · 177.0789 |
(4,15,22) |
| 1 | 84.0954 · 93.5694 · 177.5404 |
(2,10,20) |
| 1 | 84.3561 · 94.1023 · 178.3356 |
(1,7,9) |
| 1 | 83.3017 · 95.7866 · 178.9665 |
(18,20,24) |
| 1 | 81.0065 · 98.5224 · 179.4074 |
(0,8,17) |
| 1 | 84.1833 · 97.7992 · 181.8664 |
(0,5,11) |
| 1 | 87.1837 · 96.1994 · 183.2699 |
(1,14,18) |
| 1 | 40.7044 · 149.4400 · 189.9938 |
(5,13,21) |
| 1 | 42.9626 · 150.1674 · 192.9902 |
(0,16,24) |
| 1 | 101.6757 · 102.8687 · 204.4631 |
(12,17,24) |
| 1 | 102.0354 · 102.9182 · 204.8727 |
(8,20,22) |
| 1 | 103.5199 · 107.3620 · 210.8077 |
(4,7,10) |
| 1 | 78.7186 · 132.1997 · 210.8390 |
(6,12,19) |
| 1 | 78.1176 · 134.5384 · 212.5782 |
(3,19,22) |
| 1 | 105.7499 · 107.8904 · 213.5690 |
(11,14,19) |
| 1 | 74.8322 · 141.5783 · 216.3347 |
(1,13,22) |
| 1 | 81.3356 · 136.2708 · 217.5343 |
(11,13,17) |
| 1 | 84.3561 · 135.7350 · 220.0221 |
(1,7,24) |
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; dual-verified (a/b agree exactly); all 25 points match the published record figure 1:1 after mirror alignment (mean 0.75px, max 2.0px). - Verified in exact arithmetic: all 2300 triples enumerated, 44 tied at the minimum.
- Friedman's page lists:
A = .008870+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
