Square, n = 33 record
A = 0.004146380367715…
full precision
Exact value of the published coordinate literals:
0.0041463803677157685507806458
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
61 triangles tied (within relative 10−9) at the minimal area, in 61 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0659 · 0.1279 · 0.1540 |
(7,16,29) |
| 1 | 0.0681 · 0.1313 · 0.1688 |
(1,21,28) |
| 1 | 0.1223 · 0.1487 · 0.2636 |
(2,6,20) |
| 1 | 0.0763 · 0.2105 · 0.2786 |
(22,23,30) |
| 1 | 0.1443 · 0.2346 · 0.3762 |
(5,28,31) |
| 1 | 0.0681 · 0.3220 · 0.3859 |
(1,18,28) |
| 1 | 0.1287 · 0.2642 · 0.3903 |
(4,23,32) |
| 1 | 0.2022 · 0.2105 · 0.4107 |
(23,27,30) |
| 1 | 0.1376 · 0.2759 · 0.4112 |
(0,17,32) |
| 1 | 0.1688 · 0.2592 · 0.4262 |
(1,21,31) |
| 1 | 0.2044 · 0.2337 · 0.4364 |
(3,16,25) |
| 1 | 0.1223 · 0.3561 · 0.4767 |
(6,20,31) |
| 1 | 0.1701 · 0.3166 · 0.4854 |
(11,13,15) |
| 1 | 0.1443 · 0.3561 · 0.4991 |
(5,6,31) |
| 1 | 0.1905 · 0.3253 · 0.5148 |
(8,18,25) |
| 1 | 0.1540 · 0.3663 · 0.5191 |
(4,7,16) |
| 1 | 0.2373 · 0.3166 · 0.5531 |
(1,11,13) |
| 1 | 0.2759 · 0.2792 · 0.5542 |
(17,27,32) |
| 1 | 0.2771 · 0.3143 · 0.5908 |
(10,12,31) |
| 1 | 0.1313 · 0.4611 · 0.5914 |
(12,21,28) |
| 1 | 0.2175 · 0.3831 · 0.5999 |
(2,9,12) |
| 1 | 0.1733 · 0.4682 · 0.6408 |
(6,8,26) |
| 1 | 0.1355 · 0.5094 · 0.6442 |
(11,18,31) |
| 1 | 0.2018 · 0.4564 · 0.6576 |
(2,17,19) |
| 1 | 0.2792 · 0.3896 · 0.6683 |
(4,17,27) |
| 1 | 0.2223 · 0.4938 · 0.7156 |
(10,11,26) |
| 1 | 0.2531 · 0.4633 · 0.7160 |
(4,15,18) |
| 1 | 0.1440 · 0.5787 · 0.7221 |
(3,13,17) |
| 1 | 0.2840 · 0.4417 · 0.7252 |
(19,20,30) |
| 1 | 0.3220 · 0.4100 · 0.7317 |
(1,16,18) |
| 1 | 0.1527 · 0.5879 · 0.7401 |
(12,24,32) |
| 1 | 0.3501 · 0.4047 · 0.7544 |
(10,14,30) |
| 1 | 0.1475 · 0.6281 · 0.7751 |
(11,25,32) |
| 1 | 0.1779 · 0.6024 · 0.7799 |
(6,11,14) |
| 1 | 0.3143 · 0.4904 · 0.8045 |
(12,27,31) |
| 1 | 0.3945 · 0.4294 · 0.8237 |
(9,10,28) |
| 1 | 0.2595 · 0.5660 · 0.8253 |
(8,21,24) |
| 1 | 0.2064 · 0.6355 · 0.8415 |
(16,22,32) |
| 1 | 0.2872 · 0.5736 · 0.8606 |
(3,21,29) |
| 1 | 0.1905 · 0.6822 · 0.8724 |
(0,18,25) |
| 1 | 0.3533 · 0.5214 · 0.8745 |
(9,11,20) |
| 1 | 0.2642 · 0.6119 · 0.8759 |
(23,29,32) |
| 1 | 0.2839 · 0.5935 · 0.8771 |
(1,14,20) |
| 1 | 0.1647 · 0.7221 · 0.8865 |
(3,17,30) |
| 1 | 0.2018 · 0.7191 · 0.9206 |
(2,19,32) |
| 1 | 0.1630 · 0.7696 · 0.9323 |
(0,30,31) |
| 1 | 0.1396 · 0.7968 · 0.9361 |
(12,14,22) |
| 1 | 0.3712 · 0.5959 · 0.9670 |
(0,20,22) |
| 1 | 0.3309 · 0.6521 · 0.9828 |
(16,24,30) |
| 1 | 0.4774 · 0.5059 · 0.9832 |
(15,20,26) |
| 1 | 0.2736 · 0.7128 · 0.9862 |
(7,13,31) |
| 1 | 0.2861 · 0.7147 · 1.0007 |
(18,23,24) |
| 1 | 0.1905 · 0.8107 · 1.0010 |
(18,25,27) |
| 1 | 0.4910 · 0.5115 · 1.0024 |
(21,26,30) |
| 1 | 0.3316 · 0.7357 · 1.0672 |
(15,27,29) |
| 1 | 0.4706 · 0.6089 · 1.0793 |
(22,26,31) |
| 1 | 0.5079 · 0.6000 · 1.1077 |
(8,16,19) |
| 1 | 0.2804 · 0.8351 · 1.1153 |
(5,9,23) |
| 1 | 0.2655 · 0.8873 · 1.1527 |
(1,22,24) |
| 1 | 0.3489 · 0.8728 · 1.2216 |
(6,13,29) |
| 1 | 0.3162 · 0.9343 · 1.2504 |
(13,16,20) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-08-03/square-n33. - Verified in exact arithmetic: all 5456 triples enumerated, 61 tied at the minimum.
- Friedman's page lists:
A = .004146+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
