Convex, n = 33 record
A = 0.004614341222071…
full precision
Exact value of the published coordinate literals:
0.00461434122207197492584908845897
Symmetry
Not symmetric (group C1, order 1). (Friedman's page says: no symmetry.)
Minimal triangles
60 triangles tied (within relative 10−9) at the minimal area, in 60 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0789 · 0.1556 · 0.2159 |
(21,26,27) |
| 1 | 0.0623 · 0.2454 · 0.2975 |
(5,9,10) |
| 1 | 0.1361 · 0.2007 · 0.3319 |
(6,20,22) |
| 1 | 0.1340 · 0.2231 · 0.3531 |
(8,15,17) |
| 1 | 0.0623 · 0.3036 · 0.3593 |
(5,9,18) |
| 1 | 0.1770 · 0.1905 · 0.3639 |
(3,7,22) |
| 1 | 0.1776 · 0.2388 · 0.4140 |
(14,30,32) |
| 1 | 0.1833 · 0.2388 · 0.4198 |
(30,31,32) |
| 1 | 0.1342 · 0.3185 · 0.4505 |
(4,8,9) |
| 1 | 0.1041 · 0.3585 · 0.4601 |
(28,29,30) |
| 1 | 0.1361 · 0.3296 · 0.4636 |
(6,7,20) |
| 1 | 0.1770 · 0.2923 · 0.4674 |
(3,7,8) |
| 1 | 0.1701 · 0.3257 · 0.4943 |
(10,15,16) |
| 1 | 0.0775 · 0.4218 · 0.4966 |
(14,28,31) |
| 1 | 0.2424 · 0.2581 · 0.4991 |
(1,3,13) |
| 1 | 0.1611 · 0.4164 · 0.5764 |
(19,24,32) |
| 1 | 0.2304 · 0.3840 · 0.6136 |
(20,21,25) |
| 1 | 0.2581 · 0.3627 · 0.6201 |
(3,13,25) |
| 1 | 0.2892 · 0.3516 · 0.6401 |
(0,5,28) |
| 1 | 0.2955 · 0.3499 · 0.6448 |
(2,7,26) |
| 1 | 0.2060 · 0.4547 · 0.6600 |
(2,3,21) |
| 1 | 0.2157 · 0.4701 · 0.6852 |
(1,4,12) |
| 1 | 0.1975 · 0.5091 · 0.7060 |
(1,11,21) |
| 1 | 0.2106 · 0.5279 · 0.7380 |
(10,24,28) |
| 1 | 0.2699 · 0.4917 · 0.7612 |
(0,3,17) |
| 1 | 0.3190 · 0.4449 · 0.7635 |
(18,19,31) |
| 1 | 0.2988 · 0.4656 · 0.7640 |
(18,24,30) |
| 1 | 0.2908 · 0.4953 · 0.7857 |
(5,8,23) |
| 1 | 0.1767 · 0.6292 · 0.8054 |
(0,13,19) |
| 1 | 0.1320 · 0.7056 · 0.8370 |
(5,11,25) |
| 1 | 0.3665 · 0.4713 · 0.8375 |
(4,5,32) |
| 1 | 0.2923 · 0.6024 · 0.8944 |
(3,8,28) |
| 1 | 0.3707 · 0.5336 · 0.9040 |
(23,24,31) |
| 1 | 0.2662 · 0.6421 · 0.9081 |
(9,12,29) |
| 1 | 0.2900 · 0.6230 · 0.9127 |
(0,1,20) |
| 1 | 0.4423 · 0.4917 · 0.9338 |
(3,17,19) |
| 1 | 0.1698 · 0.7946 · 0.9641 |
(8,18,32) |
| 1 | 0.3894 · 0.5996 · 0.9889 |
(13,17,18) |
| 1 | 0.3412 · 0.6688 · 1.0098 |
(8,29,31) |
| 1 | 0.3163 · 0.7288 · 1.0449 |
(3,15,18) |
| 1 | 0.4817 · 0.5710 · 1.0526 |
(2,10,12) |
| 1 | 0.4736 · 0.5945 · 1.0680 |
(4,7,28) |
| 1 | 0.5208 · 0.5708 · 1.0915 |
(1,16,28) |
| 1 | 0.2768 · 0.8264 · 1.1029 |
(16,20,27) |
| 1 | 0.5965 · 0.6837 · 1.2801 |
(10,25,30) |
| 1 | 0.4170 · 0.8665 · 1.2835 |
(6,12,18) |
| 1 | 0.2366 · 1.0567 · 1.2932 |
(5,6,21) |
| 1 | 0.6158 · 0.6843 · 1.3001 |
(2,15,28) |
| 1 | 0.5469 · 0.8264 · 1.3731 |
(16,20,29) |
| 1 | 0.1320 · 1.2592 · 1.3909 |
(11,25,31) |
| 1 | 0.4527 · 0.9861 · 1.4387 |
(6,10,32) |
| 1 | 0.7732 · 0.8048 · 1.5779 |
(16,22,30) |
| 1 | 0.2836 · 1.3176 · 1.6011 |
(18,20,26) |
| 1 | 0.3595 · 1.2498 · 1.6092 |
(2,13,30) |
| 1 | 0.2768 · 1.3426 · 1.6193 |
(20,27,28) |
| 1 | 0.4527 · 1.2191 · 1.6718 |
(10,21,32) |
| 1 | 0.6487 · 1.0448 · 1.6935 |
(9,14,22) |
| 1 | 0.5549 · 1.1719 · 1.7268 |
(0,27,32) |
| 1 | 0.8082 · 0.9261 · 1.7343 |
(2,14,16) |
| 1 | 0.9499 · 1.0105 · 1.9603 |
(17,27,31) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-08-03/convex-n33. - Verified in exact arithmetic: all 5456 triples enumerated, 60 tied at the minimum.
- Friedman's page lists:
A = .004614+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
