Triangle, n = 29 record
A = 0.005410099294380…
full precision
Exact value of the published coordinate literals:
0.005410099294380184227133469216
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
53 triangles tied (within relative 10−9) at the minimal area, in 53 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.0761 · 0.1891 · 0.2460 |
(11,13,16) |
| 1 | 0.0761 · 0.1906 · 0.2479 |
(11,16,26) |
| 1 | 0.1211 · 0.2101 · 0.3239 |
(7,9,23) |
| 1 | 0.1614 · 0.2640 · 0.4220 |
(20,23,24) |
| 1 | 0.1891 · 0.2614 · 0.4478 |
(13,15,16) |
| 1 | 0.1770 · 0.3111 · 0.4859 |
(0,19,28) |
| 1 | 0.2254 · 0.2843 · 0.5079 |
(0,18,25) |
| 1 | 0.2139 · 0.3305 · 0.5429 |
(1,2,6) |
| 1 | 0.2249 · 0.3297 · 0.5531 |
(6,9,14) |
| 1 | 0.1486 · 0.4677 · 0.6150 |
(2,18,20) |
| 1 | 0.2139 · 0.4044 · 0.6172 |
(2,6,23) |
| 1 | 0.1538 · 0.4656 · 0.6180 |
(2,17,22) |
| 1 | 0.3071 · 0.3238 · 0.6299 |
(8,16,21) |
| 1 | 0.2393 · 0.4383 · 0.6768 |
(2,7,10) |
| 1 | 0.1128 · 0.5673 · 0.6788 |
(4,6,28) |
| 1 | 0.1800 · 0.5208 · 0.6999 |
(12,21,23) |
| 1 | 0.1614 · 0.5479 · 0.7084 |
(14,20,24) |
| 1 | 0.1906 · 0.5551 · 0.7450 |
(11,26,28) |
| 1 | 0.2702 · 0.5088 · 0.7784 |
(1,5,27) |
| 1 | 0.2614 · 0.5285 · 0.7893 |
(13,15,23) |
| 1 | 0.3766 · 0.4168 · 0.7930 |
(13,22,28) |
| 1 | 0.2915 · 0.5204 · 0.8114 |
(7,14,18) |
| 1 | 0.3727 · 0.4498 · 0.8221 |
(3,8,27) |
| 1 | 0.2746 · 0.5493 · 0.8235 |
(2,5,28) |
| 1 | 0.1532 · 0.6776 · 0.8301 |
(3,21,25) |
| 1 | 0.2574 · 0.5738 · 0.8307 |
(6,19,25) |
| 1 | 0.3741 · 0.4656 · 0.8393 |
(2,17,26) |
| 1 | 0.1504 · 0.7152 · 0.8650 |
(0,8,20) |
| 1 | 0.3111 · 0.5551 · 0.8658 |
(0,26,28) |
| 1 | 0.3703 · 0.5074 · 0.8773 |
(2,8,13) |
| 1 | 0.3541 · 0.5255 · 0.8793 |
(10,12,15) |
| 1 | 0.3305 · 0.5679 · 0.8981 |
(1,2,12) |
| 1 | 0.3967 · 0.5262 · 0.9226 |
(3,11,22) |
| 1 | 0.2249 · 0.7398 · 0.9644 |
(20,25,27) |
| 1 | 0.4625 · 0.5204 · 0.9827 |
(7,18,27) |
| 1 | 0.1800 · 0.8318 · 1.0114 |
(11,12,23) |
| 1 | 0.2748 · 0.7615 · 1.0361 |
(17,19,21) |
| 1 | 0.2748 · 0.7641 · 1.0387 |
(17,21,27) |
| 1 | 0.1189 · 0.9469 · 1.0653 |
(0,12,24) |
| 1 | 0.3967 · 0.6692 · 1.0657 |
(11,22,25) |
| 1 | 0.2915 · 0.7944 · 1.0856 |
(7,14,25) |
| 1 | 0.3516 · 0.7345 · 1.0859 |
(0,4,13) |
| 1 | 0.4928 · 0.6130 · 1.1057 |
(12,13,14) |
| 1 | 0.3364 · 0.7778 · 1.1140 |
(8,10,22) |
| 1 | 0.2249 · 0.8948 · 1.1194 |
(4,9,14) |
| 1 | 0.2950 · 0.8656 · 1.1604 |
(0,3,23) |
| 1 | 0.5747 · 0.6172 · 1.1917 |
(2,23,27) |
| 1 | 0.4297 · 0.7784 · 1.2079 |
(5,10,27) |
| 1 | 0.4297 · 0.8389 · 1.2685 |
(5,10,19) |
| 1 | 0.5479 · 0.7247 · 1.2725 |
(14,24,26) |
| 1 | 0.2130 · 1.0681 · 1.2809 |
(9,10,26) |
| 1 | 0.5280 · 0.7602 · 1.2881 |
(4,16,27) |
| 1 | 0.5697 · 0.7267 · 1.2962 |
(0,2,14) |
Provenance
- Found by Tej Stead, August 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims-2026-07-25/triangle-n29. - Verified in exact arithmetic: all 3654 triples enumerated, 53 tied at the minimum.
- Friedman's page lists:
A = .005410+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
