Square, n = 35 record
A = 0.003702493767699…
full precision
Exact value of the published coordinate literals:
0.003702493767699275169460238663
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
65 triangles tied (within relative 10−9) at the minimal area, in 65 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0608 · 0.1334 · 0.1676 |
(1,21,28) |
| 1 | 0.0724 · 0.1953 · 0.2597 |
(2,6,20) |
| 1 | 0.1115 · 0.2730 · 0.3821 |
(5,11,21) |
| 1 | 0.1676 · 0.2422 · 0.4081 |
(1,21,31) |
| 1 | 0.1986 · 0.2125 · 0.4094 |
(23,27,30) |
| 1 | 0.2099 · 0.2238 · 0.4324 |
(9,12,33) |
| 1 | 0.1664 · 0.2688 · 0.4338 |
(7,16,34) |
| 1 | 0.1325 · 0.3089 · 0.4399 |
(0,17,19) |
| 1 | 0.1495 · 0.3193 · 0.4676 |
(4,22,34) |
| 1 | 0.1568 · 0.3467 · 0.5024 |
(5,6,31) |
| 1 | 0.1629 · 0.3416 · 0.5035 |
(17,24,34) |
| 1 | 0.2531 · 0.2659 · 0.5183 |
(17,27,32) |
| 1 | 0.2243 · 0.3082 · 0.5318 |
(1,11,13) |
| 1 | 0.1953 · 0.3467 · 0.5412 |
(6,20,31) |
| 1 | 0.1838 · 0.3821 · 0.5652 |
(5,11,18) |
| 1 | 0.2036 · 0.3631 · 0.5660 |
(6,27,33) |
| 1 | 0.2785 · 0.2967 · 0.5747 |
(3,11,29) |
| 1 | 0.2227 · 0.3538 · 0.5759 |
(15,25,34) |
| 1 | 0.2854 · 0.2951 · 0.5800 |
(10,12,31) |
| 1 | 0.2106 · 0.4399 · 0.6500 |
(2,17,19) |
| 1 | 0.1576 · 0.4990 · 0.6561 |
(15,17,30) |
| 1 | 0.2659 · 0.3915 · 0.6570 |
(4,17,27) |
| 1 | 0.1254 · 0.5387 · 0.6635 |
(7,29,32) |
| 1 | 0.3266 · 0.3733 · 0.6996 |
(1,16,18) |
| 1 | 0.3538 · 0.3610 · 0.7145 |
(1,15,25) |
| 1 | 0.3305 · 0.4002 · 0.7304 |
(0,23,33) |
| 1 | 0.1344 · 0.6069 · 0.7409 |
(12,24,32) |
| 1 | 0.3387 · 0.4160 · 0.7545 |
(2,5,14) |
| 1 | 0.1667 · 0.6054 · 0.7718 |
(10,15,19) |
| 1 | 0.3582 · 0.4194 · 0.7773 |
(10,14,30) |
| 1 | 0.1334 · 0.6518 · 0.7848 |
(21,28,33) |
| 1 | 0.3848 · 0.4094 · 0.7940 |
(10,20,24) |
| 1 | 0.2951 · 0.5029 · 0.7978 |
(12,27,31) |
| 1 | 0.2496 · 0.5555 · 0.8049 |
(13,18,32) |
| 1 | 0.2099 · 0.5980 · 0.8076 |
(1,12,33) |
| 1 | 0.2107 · 0.5994 · 0.8098 |
(4,12,26) |
| 1 | 0.3660 · 0.4619 · 0.8278 |
(8,12,34) |
| 1 | 0.1445 · 0.6858 · 0.8300 |
(11,25,32) |
| 1 | 0.2268 · 0.6054 · 0.8320 |
(7,10,15) |
| 1 | 0.3383 · 0.4990 · 0.8371 |
(15,16,17) |
| 1 | 0.2967 · 0.5464 · 0.8429 |
(3,21,29) |
| 1 | 0.3439 · 0.5105 · 0.8542 |
(0,21,26) |
| 1 | 0.3123 · 0.5485 · 0.8606 |
(7,24,30) |
| 1 | 0.3035 · 0.5577 · 0.8610 |
(8,21,24) |
| 1 | 0.2483 · 0.6293 · 0.8774 |
(19,20,23) |
| 1 | 0.1884 · 0.6932 · 0.8814 |
(16,22,32) |
| 1 | 0.3599 · 0.5312 · 0.8909 |
(14,20,28) |
| 1 | 0.2106 · 0.6825 · 0.8929 |
(2,19,32) |
| 1 | 0.2467 · 0.6635 · 0.9101 |
(23,29,32) |
| 1 | 0.2483 · 0.6758 · 0.9239 |
(19,20,22) |
| 1 | 0.3305 · 0.5987 · 0.9290 |
(0,6,23) |
| 1 | 0.4234 · 0.5147 · 0.9380 |
(16,25,31) |
| 1 | 0.3908 · 0.5498 · 0.9405 |
(2,11,12) |
| 1 | 0.1961 · 0.7601 · 0.9561 |
(18,19,25) |
| 1 | 0.2880 · 0.6687 · 0.9566 |
(7,13,31) |
| 1 | 0.1447 · 0.8140 · 0.9584 |
(12,14,22) |
| 1 | 0.3983 · 0.5759 · 0.9741 |
(25,28,34) |
| 1 | 0.2496 · 0.7342 · 0.9836 |
(13,18,22) |
| 1 | 0.2304 · 0.7717 · 1.0020 |
(9,31,34) |
| 1 | 0.5041 · 0.5105 · 1.0145 |
(21,26,30) |
| 1 | 0.3484 · 0.6852 · 1.0335 |
(13,14,29) |
| 1 | 0.4855 · 0.5931 · 1.0786 |
(8,16,19) |
| 1 | 0.3105 · 0.7712 · 1.0816 |
(26,29,33) |
| 1 | 0.2646 · 0.8842 · 1.1487 |
(5,9,22) |
| 1 | 0.5083 · 0.7355 · 1.2437 |
(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-n35. - Verified in exact arithmetic: all 6545 triples enumerated, 65 tied at the minimum.
- Friedman's page lists:
A = .003702+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
