Convex, n = 26 record
A = 0.008403268123614…
full precision
Exact value of the published coordinate literals:
0.00840326812361442518737191546950
Symmetry
Not symmetric (group C1, order 1). (Friedman's page says: no symmetry.)
Minimal triangles
45 triangles tied (within relative 10−9) at the minimal area, in 45 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.1783 · 0.3259 · 0.4993 |
(11,15,18) |
| 1 | 0.1788 · 0.3262 · 0.5001 |
(12,15,21) |
| 1 | 0.1749 · 0.3315 · 0.5015 |
(5,8,11) |
| 1 | 0.1754 · 0.3322 · 0.5028 |
(9,13,21) |
| 1 | 0.1823 · 0.3268 · 0.5043 |
(13,18,19) |
| 1 | 0.1826 · 0.3277 · 0.5055 |
(8,12,19) |
| 1 | 0.1783 · 0.3335 · 0.5071 |
(15,17,18) |
| 1 | 0.1866 · 0.3258 · 0.5077 |
(4,5,9) |
| 1 | 0.1866 · 0.3263 · 0.5083 |
(5,9,17) |
| 1 | 0.1788 · 0.3345 · 0.5086 |
(4,12,15) |
| 1 | 0.1749 · 0.3412 · 0.5114 |
(5,6,8) |
| 1 | 0.1754 · 0.3422 · 0.5129 |
(2,9,13) |
| 1 | 0.1823 · 0.3373 · 0.5151 |
(6,13,18) |
| 1 | 0.1826 · 0.3372 · 0.5153 |
(2,8,12) |
| 1 | 0.1712 · 0.3591 · 0.5259 |
(23,24,25) |
| 1 | 0.1717 · 0.3602 · 0.5275 |
(7,16,20) |
| 1 | 0.4227 · 0.5071 · 0.9291 |
(15,16,17) |
| 1 | 0.2265 · 0.7037 · 0.9292 |
(10,21,25) |
| 1 | 0.2265 · 0.7042 · 0.9297 |
(0,11,16) |
| 1 | 0.2285 · 0.7033 · 0.9309 |
(1,6,10) |
| 1 | 0.2288 · 0.7039 · 0.9318 |
(0,2,14) |
| 1 | 0.4241 · 0.5086 · 0.9319 |
(4,15,25) |
| 1 | 0.4338 · 0.5077 · 0.9408 |
(4,9,14) |
| 1 | 0.4344 · 0.5083 · 0.9420 |
(1,5,17) |
| 1 | 0.4399 · 0.5043 · 0.9435 |
(10,13,19) |
| 1 | 0.4410 · 0.5055 · 0.9458 |
(0,8,19) |
| 1 | 0.3636 · 0.5854 · 0.9483 |
(20,21,22) |
| 1 | 0.3647 · 0.5870 · 0.9510 |
(3,11,24) |
| 1 | 0.4600 · 0.4993 · 0.9586 |
(11,18,22) |
| 1 | 0.4605 · 0.5001 · 0.9600 |
(3,12,21) |
| 1 | 0.4506 · 0.5114 · 0.9614 |
(6,7,8) |
| 1 | 0.4477 · 0.5151 · 0.9622 |
(6,18,24) |
| 1 | 0.4477 · 0.5153 · 0.9623 |
(2,12,20) |
| 1 | 0.4520 · 0.5129 · 0.9643 |
(2,13,23) |
| 1 | 0.2186 · 0.8072 · 1.0250 |
(6,9,20) |
| 1 | 0.2191 · 0.8088 · 1.0271 |
(2,5,24) |
| 1 | 0.5517 · 0.5566 · 1.1079 |
(14,18,20) |
| 1 | 0.5534 · 0.5583 · 1.1112 |
(1,12,24) |
| 1 | 0.5621 · 0.5622 · 1.1240 |
(7,15,23) |
| 1 | 0.5593 · 0.5657 · 1.1246 |
(3,5,10) |
| 1 | 0.5607 · 0.5670 · 1.1273 |
(0,9,22) |
| 1 | 0.4227 · 0.7180 · 1.1404 |
(14,15,16) |
| 1 | 0.4241 · 0.7203 · 1.1439 |
(1,15,25) |
| 1 | 0.4399 · 0.7273 · 1.1668 |
(10,13,20) |
| 1 | 0.4410 · 0.7293 · 1.1699 |
(0,8,24) |
Provenance
- Found by Nathan Sudermann-Merx, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-08-20/convex-n26. - Verified in exact arithmetic: all 2600 triples enumerated, 45 tied at the minimum.
- Friedman's page lists:
A = .008402+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
