Square, n = 34 record
A = 0.004004758552391…
full precision
Exact value of the published coordinate literals:
0.004004758552391021341828100135
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
62 triangles tied (within relative 10−9) at the minimal area, in 62 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0616 · 0.1451 · 0.1811 |
(1,21,28) |
| 1 | 0.0732 · 0.1879 · 0.2511 |
(2,6,20) |
| 1 | 0.1177 · 0.2621 · 0.3771 |
(4,23,32) |
| 1 | 0.0616 · 0.3281 · 0.3855 |
(1,18,28) |
| 1 | 0.1360 · 0.2779 · 0.4118 |
(0,17,32) |
| 1 | 0.2088 · 0.2180 · 0.4251 |
(9,12,33) |
| 1 | 0.1744 · 0.3107 · 0.4838 |
(8,15,26) |
| 1 | 0.1473 · 0.3442 · 0.4902 |
(5,6,31) |
| 1 | 0.1926 · 0.3226 · 0.5142 |
(8,18,25) |
| 1 | 0.1879 · 0.3442 · 0.5312 |
(6,20,31) |
| 1 | 0.2241 · 0.3178 · 0.5411 |
(10,17,33) |
| 1 | 0.2404 · 0.3061 · 0.5457 |
(1,11,13) |
| 1 | 0.2016 · 0.3524 · 0.5532 |
(3,9,25) |
| 1 | 0.2779 · 0.2864 · 0.5636 |
(17,27,32) |
| 1 | 0.2810 · 0.2878 · 0.5680 |
(3,11,29) |
| 1 | 0.2828 · 0.2917 · 0.5738 |
(10,12,31) |
| 1 | 0.2087 · 0.3668 · 0.5748 |
(6,27,33) |
| 1 | 0.2652 · 0.3524 · 0.6171 |
(9,14,25) |
| 1 | 0.1198 · 0.5114 · 0.6303 |
(7,24,29) |
| 1 | 0.1744 · 0.4602 · 0.6340 |
(6,8,26) |
| 1 | 0.1387 · 0.5225 · 0.6605 |
(11,18,31) |
| 1 | 0.2864 · 0.3811 · 0.6670 |
(4,17,27) |
| 1 | 0.2271 · 0.4629 · 0.6896 |
(2,17,19) |
| 1 | 0.2194 · 0.4936 · 0.7126 |
(10,11,26) |
| 1 | 0.1404 · 0.5854 · 0.7252 |
(3,13,17) |
| 1 | 0.3268 · 0.4052 · 0.7316 |
(2,5,14) |
| 1 | 0.3281 · 0.4043 · 0.7320 |
(1,16,18) |
| 1 | 0.1460 · 0.5865 · 0.7320 |
(4,11,25) |
| 1 | 0.3301 · 0.4171 · 0.7470 |
(0,23,33) |
| 1 | 0.3385 · 0.4189 · 0.7570 |
(15,25,28) |
| 1 | 0.1500 · 0.6083 · 0.7579 |
(12,24,32) |
| 1 | 0.1811 · 0.5825 · 0.7633 |
(1,6,21) |
| 1 | 0.1460 · 0.6291 · 0.7746 |
(11,25,32) |
| 1 | 0.3565 · 0.4198 · 0.7761 |
(10,14,30) |
| 1 | 0.2280 · 0.5750 · 0.8027 |
(4,12,26) |
| 1 | 0.2088 · 0.6062 · 0.8147 |
(1,12,33) |
| 1 | 0.2687 · 0.5513 · 0.8196 |
(8,21,24) |
| 1 | 0.3374 · 0.4916 · 0.8288 |
(15,16,17) |
| 1 | 0.2871 · 0.5500 · 0.8368 |
(7,11,28) |
| 1 | 0.4176 · 0.4228 · 0.8402 |
(10,20,24) |
| 1 | 0.2068 · 0.6367 · 0.8432 |
(7,10,15) |
| 1 | 0.1987 · 0.6463 · 0.8447 |
(16,22,32) |
| 1 | 0.2878 · 0.5729 · 0.8604 |
(3,21,29) |
| 1 | 0.2621 · 0.6009 · 0.8628 |
(23,29,32) |
| 1 | 0.1649 · 0.7252 · 0.8898 |
(3,17,30) |
| 1 | 0.3526 · 0.5531 · 0.9055 |
(14,20,28) |
| 1 | 0.2651 · 0.6511 · 0.9160 |
(19,20,23) |
| 1 | 0.3308 · 0.6303 · 0.9609 |
(24,29,30) |
| 1 | 0.1492 · 0.8125 · 0.9615 |
(12,14,22) |
| 1 | 0.2651 · 0.7029 · 0.9678 |
(19,20,22) |
| 1 | 0.4911 · 0.4956 · 0.9866 |
(21,26,30) |
| 1 | 0.2060 · 0.7855 · 0.9913 |
(2,13,33) |
| 1 | 0.2755 · 0.7170 · 0.9923 |
(7,13,31) |
| 1 | 0.2851 · 0.7164 · 1.0013 |
(18,23,24) |
| 1 | 0.3107 · 0.7095 · 1.0201 |
(8,15,20) |
| 1 | 0.2252 · 0.8341 · 1.0592 |
(17,23,31) |
| 1 | 0.3399 · 0.7349 · 1.0747 |
(13,14,29) |
| 1 | 0.3374 · 0.7755 · 1.1128 |
(26,29,33) |
| 1 | 0.2665 · 0.8533 · 1.1196 |
(5,9,22) |
| 1 | 0.2430 · 0.8872 · 1.1301 |
(6,7,12) |
| 1 | 0.2588 · 0.8888 · 1.1475 |
(1,22,24) |
| 1 | 0.5423 · 0.7664 · 1.3087 |
(2,16,26) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-08-03/square-n34. - Verified in exact arithmetic: all 5984 triples enumerated, 62 tied at the minimum.
- Friedman's page lists:
A = .004004+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
