Triangle, n = 33 record
A = 0.003967425266331…
full precision
Exact value of the published coordinate literals:
0.003967425266331211785215357772
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
60 triangles tied (within relative 10−9) at the minimal area, in 60 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.1059 · 0.1650 · 0.2638 |
(7,9,23) |
| 1 | 0.1059 · 0.1998 · 0.3006 |
(5,7,9) |
| 1 | 0.1175 · 0.2269 · 0.3409 |
(21,30,31) |
| 1 | 0.1347 · 0.2593 · 0.3917 |
(22,30,32) |
| 1 | 0.2015 · 0.2125 · 0.4123 |
(1,3,4) |
| 1 | 0.1868 · 0.2344 · 0.4195 |
(20,23,24) |
| 1 | 0.1347 · 0.3376 · 0.4709 |
(13,22,30) |
| 1 | 0.2340 · 0.2568 · 0.4897 |
(8,29,31) |
| 1 | 0.1714 · 0.3579 · 0.5284 |
(15,17,31) |
| 1 | 0.1175 · 0.4245 · 0.5409 |
(12,21,31) |
| 1 | 0.1466 · 0.3970 · 0.5425 |
(0,19,32) |
| 1 | 0.1348 · 0.4245 · 0.5584 |
(12,23,31) |
| 1 | 0.2591 · 0.3038 · 0.5622 |
(0,3,29) |
| 1 | 0.2311 · 0.3507 · 0.5811 |
(1,2,6) |
| 1 | 0.2212 · 0.3790 · 0.5996 |
(25,27,29) |
| 1 | 0.2982 · 0.3168 · 0.6145 |
(6,9,29) |
| 1 | 0.2584 · 0.3579 · 0.6157 |
(4,17,31) |
| 1 | 0.2773 · 0.3451 · 0.6219 |
(9,24,31) |
| 1 | 0.2311 · 0.3920 · 0.6225 |
(2,6,23) |
| 1 | 0.3063 · 0.3236 · 0.6294 |
(7,15,24) |
| 1 | 0.1818 · 0.4531 · 0.6343 |
(5,6,31) |
| 1 | 0.1868 · 0.4676 · 0.6539 |
(20,24,30) |
| 1 | 0.2057 · 0.4531 · 0.6583 |
(6,13,31) |
| 1 | 0.2758 · 0.3911 · 0.6665 |
(6,8,30) |
| 1 | 0.2294 · 0.4498 · 0.6787 |
(2,7,10) |
| 1 | 0.3108 · 0.3810 · 0.6914 |
(17,20,32) |
| 1 | 0.3512 · 0.3809 · 0.7318 |
(12,14,15) |
| 1 | 0.1003 · 0.6334 · 0.7331 |
(4,6,28) |
| 1 | 0.2792 · 0.4561 · 0.7350 |
(7,20,21) |
| 1 | 0.1938 · 0.5724 · 0.7658 |
(11,26,32) |
| 1 | 0.1389 · 0.6603 · 0.7988 |
(3,21,25) |
| 1 | 0.2823 · 0.5289 · 0.8110 |
(26,29,30) |
| 1 | 0.1714 · 0.6533 · 0.8244 |
(15,31,32) |
| 1 | 0.1389 · 0.6878 · 0.8263 |
(3,25,31) |
| 1 | 0.1789 · 0.6603 · 0.8389 |
(3,13,21) |
| 1 | 0.3212 · 0.5318 · 0.8528 |
(4,11,22) |
| 1 | 0.3038 · 0.5520 · 0.8556 |
(0,3,6) |
| 1 | 0.3292 · 0.5323 · 0.8613 |
(8,24,32) |
| 1 | 0.2304 · 0.6351 · 0.8653 |
(1,9,18) |
| 1 | 0.3012 · 0.5763 · 0.8774 |
(1,5,27) |
| 1 | 0.1745 · 0.7389 · 0.9131 |
(0,8,20) |
| 1 | 0.2823 · 0.6451 · 0.9273 |
(2,26,30) |
| 1 | 0.4232 · 0.5220 · 0.9451 |
(7,8,22) |
| 1 | 0.4195 · 0.5394 · 0.9588 |
(20,22,23) |
| 1 | 0.3970 · 0.5724 · 0.9692 |
(0,26,32) |
| 1 | 0.2212 · 0.7581 · 0.9791 |
(20,25,27) |
| 1 | 0.4806 · 0.5218 · 1.0023 |
(17,18,26) |
| 1 | 0.3377 · 0.6787 · 1.0163 |
(2,3,10) |
| 1 | 0.4565 · 0.5763 · 1.0327 |
(1,5,14) |
| 1 | 0.1003 · 0.9903 · 1.0904 |
(4,23,28) |
| 1 | 0.4819 · 0.6365 · 1.1184 |
(19,24,29) |
| 1 | 0.2625 · 0.8737 · 1.1361 |
(7,14,25) |
| 1 | 0.4253 · 0.7294 · 1.1547 |
(9,21,26) |
| 1 | 0.2773 · 0.9546 · 1.2319 |
(9,11,24) |
| 1 | 0.5082 · 0.7331 · 1.2412 |
(6,14,28) |
| 1 | 0.1943 · 1.0674 · 1.2616 |
(9,14,32) |
| 1 | 0.4334 · 0.8737 · 1.3070 |
(11,19,28) |
| 1 | 0.4253 · 0.9038 · 1.3290 |
(10,21,26) |
| 1 | 0.3991 · 0.9642 · 1.3632 |
(10,13,16) |
| 1 | 0.5838 · 0.8054 · 1.3891 |
(14,18,19) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-08-03/triangle-n33. - Verified in exact arithmetic: all 5456 triples enumerated, 60 tied at the minimum.
- Friedman's page lists:
A = .003967+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
