Convex, n = 34 record
A = 0.004413517503617…
full precision
Exact value of the published coordinate literals:
0.00441351750361735222636984533949
Symmetry
Not symmetric (group C1, order 1). (Friedman's page says: no symmetry.)
Minimal triangles
61 triangles tied (within relative 10−9) at the minimal area, in 61 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0963 · 0.1158 · 0.1907 |
(2,6,22) |
| 1 | 0.1270 · 0.1907 · 0.3124 |
(6,20,22) |
| 1 | 0.1732 · 0.1878 · 0.3575 |
(3,7,22) |
| 1 | 0.0601 · 0.3085 · 0.3625 |
(5,9,18) |
| 1 | 0.1631 · 0.2262 · 0.3865 |
(14,30,32) |
| 1 | 0.1696 · 0.2262 · 0.3932 |
(30,31,32) |
| 1 | 0.1270 · 0.3117 · 0.4364 |
(6,7,20) |
| 1 | 0.1348 · 0.3265 · 0.4594 |
(4,8,9) |
| 1 | 0.1058 · 0.3643 · 0.4679 |
(28,29,30) |
| 1 | 0.2304 · 0.2423 · 0.4712 |
(1,3,13) |
| 1 | 0.1732 · 0.3016 · 0.4732 |
(3,7,8) |
| 1 | 0.0783 · 0.4276 · 0.5036 |
(14,28,31) |
| 1 | 0.1740 · 0.3329 · 0.5055 |
(10,15,16) |
| 1 | 0.1905 · 0.3643 · 0.5538 |
(29,30,33) |
| 1 | 0.1471 · 0.4466 · 0.5927 |
(1,22,25) |
| 1 | 0.2723 · 0.3335 · 0.6050 |
(0,5,28) |
| 1 | 0.2813 · 0.3366 · 0.6172 |
(2,7,26) |
| 1 | 0.2323 · 0.4021 · 0.6338 |
(20,21,25) |
| 1 | 0.2013 · 0.4370 · 0.6375 |
(2,3,21) |
| 1 | 0.2630 · 0.3774 · 0.6398 |
(9,17,29) |
| 1 | 0.2093 · 0.4509 · 0.6596 |
(1,4,12) |
| 1 | 0.2110 · 0.5171 · 0.7276 |
(1,11,21) |
| 1 | 0.3088 · 0.4215 · 0.7298 |
(18,19,31) |
| 1 | 0.2949 · 0.4586 · 0.7531 |
(18,24,30) |
| 1 | 0.2787 · 0.4957 · 0.7740 |
(0,3,17) |
| 1 | 0.1211 · 0.6970 · 0.8175 |
(0,10,31) |
| 1 | 0.1301 · 0.6884 · 0.8180 |
(5,11,25) |
| 1 | 0.1821 · 0.6498 · 0.8315 |
(0,13,19) |
| 1 | 0.3739 · 0.4901 · 0.8638 |
(4,5,32) |
| 1 | 0.3016 · 0.6068 · 0.9081 |
(3,8,28) |
| 1 | 0.4570 · 0.4957 · 0.9526 |
(3,17,19) |
| 1 | 0.1835 · 0.8088 · 0.9921 |
(8,18,32) |
| 1 | 0.3419 · 0.6799 · 1.0216 |
(8,29,31) |
| 1 | 0.5120 · 0.5592 · 1.0710 |
(1,16,28) |
| 1 | 0.3231 · 0.7505 · 1.0735 |
(3,15,18) |
| 1 | 0.4900 · 0.5872 · 1.0771 |
(2,10,12) |
| 1 | 0.4766 · 0.6018 · 1.0783 |
(4,7,28) |
| 1 | 0.2688 · 0.8209 · 1.0896 |
(16,20,27) |
| 1 | 0.4657 · 0.6517 · 1.1173 |
(5,12,20) |
| 1 | 0.3054 · 0.8147 · 1.1199 |
(2,5,16) |
| 1 | 0.3437 · 0.8002 · 1.1438 |
(4,6,26) |
| 1 | 0.4602 · 0.7024 · 1.1624 |
(5,15,33) |
| 1 | 0.5769 · 0.6390 · 1.2159 |
(0,1,26) |
| 1 | 0.4410 · 0.7797 · 1.2206 |
(11,24,26) |
| 1 | 0.5963 · 0.6803 · 1.2765 |
(10,25,30) |
| 1 | 0.6180 · 0.6815 · 1.2994 |
(2,15,28) |
| 1 | 0.4239 · 0.8859 · 1.3096 |
(6,12,18) |
| 1 | 0.5478 · 0.8209 · 1.3686 |
(16,20,29) |
| 1 | 0.5675 · 0.8537 · 1.4211 |
(0,25,33) |
| 1 | 0.4780 · 0.9809 · 1.4588 |
(7,15,30) |
| 1 | 0.4705 · 1.0092 · 1.4796 |
(6,10,32) |
| 1 | 0.4385 · 1.0473 · 1.4858 |
(1,18,33) |
| 1 | 0.2688 · 1.3284 · 1.5971 |
(20,27,28) |
| 1 | 0.2843 · 1.3384 · 1.6226 |
(18,20,26) |
| 1 | 0.3609 · 1.2754 · 1.6363 |
(2,13,30) |
| 1 | 0.4705 · 1.2424 · 1.7128 |
(10,21,32) |
| 1 | 0.6508 · 1.0633 · 1.7140 |
(9,14,22) |
| 1 | 0.5701 · 1.1862 · 1.7564 |
(0,27,32) |
| 1 | 0.9481 · 1.0037 · 1.9518 |
(17,27,31) |
| 1 | 1.0048 · 1.0199 · 2.0247 |
(14,17,26) |
| 1 | 0.7452 · 1.2908 · 2.0360 |
(10,27,33) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-08-03/convex-n34. - Verified in exact arithmetic: all 5984 triples enumerated, 61 tied at the minimum.
- Friedman's page lists:
A = .004413+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
