Square, n = 23 record
A = 0.008812753733676…
full precision
Exact value of the published coordinate literals:
0.008812753733676271711758029734
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
39 triangles tied (within relative 10−9) at the minimal area, in 39 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.1604 · 0.1675 · 0.3070 |
(3,7,16) |
| 1 | 0.1284 · 0.2290 · 0.3405 |
(0,4,17) |
| 1 | 0.1355 · 0.2547 · 0.3776 |
(5,14,21) |
| 1 | 0.1284 · 0.2778 · 0.3945 |
(4,17,18) |
| 1 | 0.1554 · 0.2817 · 0.4285 |
(1,11,13) |
| 1 | 0.2152 · 0.2792 · 0.4891 |
(1,2,21) |
| 1 | 0.1604 · 0.3421 · 0.4966 |
(7,16,18) |
| 1 | 0.2210 · 0.2931 · 0.5093 |
(10,12,14) |
| 1 | 0.2454 · 0.3109 · 0.5526 |
(9,13,14) |
| 1 | 0.2461 · 0.3138 · 0.5562 |
(9,11,12) |
| 1 | 0.2290 · 0.3465 · 0.5720 |
(0,17,19) |
| 1 | 0.2601 · 0.3465 · 0.6037 |
(0,19,20) |
| 1 | 0.2778 · 0.3421 · 0.6172 |
(4,7,18) |
| 1 | 0.2955 · 0.3710 · 0.6644 |
(15,16,22) |
| 1 | 0.2270 · 0.5093 · 0.7345 |
(0,10,14) |
| 1 | 0.3109 · 0.4413 · 0.7507 |
(7,9,13) |
| 1 | 0.3200 · 0.4352 · 0.7536 |
(8,12,18) |
| 1 | 0.2016 · 0.5671 · 0.7669 |
(2,15,18) |
| 1 | 0.2016 · 0.5799 · 0.7798 |
(11,15,18) |
| 1 | 0.2636 · 0.5181 · 0.7802 |
(8,14,22) |
| 1 | 0.3345 · 0.4514 · 0.7846 |
(3,11,21) |
| 1 | 0.3062 · 0.5109 · 0.8159 |
(1,6,14) |
| 1 | 0.3545 · 0.4664 · 0.8197 |
(12,13,20) |
| 1 | 0.2543 · 0.5940 · 0.8471 |
(7,10,15) |
| 1 | 0.4217 · 0.4506 · 0.8714 |
(6,10,17) |
| 1 | 0.3138 · 0.5785 · 0.8914 |
(9,11,20) |
| 1 | 0.2210 · 0.6771 · 0.8969 |
(12,14,17) |
| 1 | 0.3345 · 0.5808 · 0.9145 |
(11,16,21) |
| 1 | 0.2593 · 0.6809 · 0.9392 |
(8,10,16) |
| 1 | 0.3389 · 0.6014 · 0.9395 |
(1,12,19) |
| 1 | 0.4449 · 0.5070 · 0.9511 |
(3,15,17) |
| 1 | 0.4752 · 0.5077 · 0.9823 |
(2,6,9) |
| 1 | 0.2454 · 0.7548 · 0.9994 |
(9,14,16) |
| 1 | 0.1722 · 0.8991 · 1.0703 |
(1,4,22) |
| 1 | 0.4274 · 0.6695 · 1.0964 |
(4,5,8) |
| 1 | 0.4191 · 0.7169 · 1.1355 |
(8,17,21) |
| 1 | 0.1722 · 0.9649 · 1.1362 |
(4,21,22) |
| 1 | 0.3112 · 0.9067 · 1.2175 |
(6,12,16) |
| 1 | 0.3545 · 0.8639 · 1.2179 |
(3,12,20) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-07-25/square-n23. - Verified in exact arithmetic: all 1771 triples enumerated, 39 tied at the minimum.
- Friedman's page lists:
A = .008812+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
