Triangle, n = 35 record
A = 0.003606226230557…
full precision
Exact value of the published coordinate literals:
0.003606226230557429630519572732
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
64 triangles tied (within relative 10−9) at the minimal area, in 64 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0907 · 0.1758 · 0.2599 |
(11,16,26) |
| 1 | 0.1019 · 0.2116 · 0.3095 |
(5,7,9) |
| 1 | 0.1861 · 0.2374 · 0.4221 |
(17,21,30) |
| 1 | 0.1767 · 0.2545 · 0.4299 |
(22,30,32) |
| 1 | 0.2359 · 0.2529 · 0.4879 |
(8,29,31) |
| 1 | 0.0984 · 0.4075 · 0.5046 |
(27,28,32) |
| 1 | 0.1119 · 0.4073 · 0.5181 |
(2,18,20) |
| 1 | 0.1348 · 0.4029 · 0.5368 |
(17,26,34) |
| 1 | 0.1835 · 0.3627 · 0.5455 |
(8,30,34) |
| 1 | 0.2614 · 0.2924 · 0.5531 |
(4,22,34) |
| 1 | 0.2628 · 0.3066 · 0.5688 |
(0,3,29) |
| 1 | 0.2070 · 0.3740 · 0.5805 |
(25,27,29) |
| 1 | 0.1456 · 0.4518 · 0.5968 |
(4,18,32) |
| 1 | 0.1639 · 0.4451 · 0.6084 |
(5,6,31) |
| 1 | 0.1775 · 0.4433 · 0.6202 |
(20,31,33) |
| 1 | 0.2988 · 0.3265 · 0.6248 |
(6,9,29) |
| 1 | 0.2733 · 0.3627 · 0.6355 |
(6,8,30) |
| 1 | 0.2608 · 0.3771 · 0.6375 |
(4,17,31) |
| 1 | 0.2013 · 0.4392 · 0.6401 |
(20,24,30) |
| 1 | 0.2548 · 0.4221 · 0.6766 |
(11,17,21) |
| 1 | 0.3530 · 0.3595 · 0.7122 |
(12,14,15) |
| 1 | 0.2552 · 0.4630 · 0.7179 |
(2,7,14) |
| 1 | 0.3363 · 0.3863 · 0.7224 |
(1,20,29) |
| 1 | 0.1012 · 0.6419 · 0.7426 |
(4,6,28) |
| 1 | 0.3805 · 0.4330 · 0.8133 |
(5,13,20) |
| 1 | 0.1287 · 0.6904 · 0.8188 |
(3,25,31) |
| 1 | 0.2614 · 0.5695 · 0.8307 |
(22,25,34) |
| 1 | 0.2924 · 0.5556 · 0.8478 |
(4,11,22) |
| 1 | 0.3096 · 0.5391 · 0.8486 |
(12,20,22) |
| 1 | 0.2709 · 0.5800 · 0.8506 |
(0,28,34) |
| 1 | 0.3665 · 0.4916 · 0.8580 |
(16,32,34) |
| 1 | 0.2832 · 0.5791 · 0.8621 |
(1,5,27) |
| 1 | 0.1780 · 0.6857 · 0.8634 |
(15,31,32) |
| 1 | 0.3792 · 0.4857 · 0.8647 |
(5,29,32) |
| 1 | 0.1861 · 0.6792 · 0.8651 |
(18,21,30) |
| 1 | 0.4278 · 0.4437 · 0.8714 |
(4,30,33) |
| 1 | 0.4290 · 0.4437 · 0.8726 |
(4,19,30) |
| 1 | 0.3405 · 0.5515 · 0.8918 |
(8,24,32) |
| 1 | 0.2477 · 0.6545 · 0.9020 |
(6,19,25) |
| 1 | 0.2709 · 0.6379 · 0.9086 |
(0,21,28) |
| 1 | 0.3099 · 0.6091 · 0.9188 |
(2,26,30) |
| 1 | 0.4555 · 0.4905 · 0.9459 |
(15,23,33) |
| 1 | 0.2406 · 0.7370 · 0.9774 |
(22,23,24) |
| 1 | 0.4164 · 0.5689 · 0.9852 |
(21,23,31) |
| 1 | 0.3361 · 0.6822 · 1.0181 |
(2,3,10) |
| 1 | 0.4625 · 0.5791 · 1.0415 |
(1,5,14) |
| 1 | 0.4560 · 0.6069 · 1.0629 |
(9,20,34) |
| 1 | 0.1418 · 0.9735 · 1.1151 |
(12,23,26) |
| 1 | 0.1770 · 0.9389 · 1.1158 |
(11,18,29) |
| 1 | 0.2552 · 0.8820 · 1.1371 |
(7,14,25) |
| 1 | 0.1356 · 1.0165 · 1.1519 |
(7,21,26) |
| 1 | 0.1770 · 0.9786 · 1.1555 |
(16,18,29) |
| 1 | 0.4555 · 0.7122 · 1.1676 |
(14,15,33) |
| 1 | 0.1264 · 1.0578 · 1.1841 |
(0,12,24) |
| 1 | 0.1639 · 1.0332 · 1.1970 |
(5,6,16) |
| 1 | 0.2658 · 0.9416 · 1.2074 |
(9,11,24) |
| 1 | 0.4268 · 0.8044 · 1.2311 |
(14,24,34) |
| 1 | 0.5060 · 0.7426 · 1.2485 |
(6,14,28) |
| 1 | 0.3891 · 0.8732 · 1.2622 |
(11,19,28) |
| 1 | 0.4220 · 0.8621 · 1.2841 |
(5,10,27) |
| 1 | 0.4205 · 0.8967 · 1.3172 |
(10,24,26) |
| 1 | 0.3595 · 0.9818 · 1.3412 |
(12,14,16) |
| 1 | 0.6226 · 0.7221 · 1.3447 |
(16,22,27) |
| 1 | 0.5870 · 0.7929 · 1.3798 |
(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-n35. - Verified in exact arithmetic: all 6545 triples enumerated, 64 tied at the minimum.
- Friedman's page lists:
A = .003606+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
