Convex, n = 15 record
A = 0.024564055613230…
full precision
Exact value of the published coordinate literals:
0.0245640556132301679615750232227
Symmetry
Not symmetric (group C1, order 1). (Friedman's page says: no symmetry.)
Minimal triangles
25 triangles tied (within relative 10−9) at the minimal area, in 25 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.2568 · 0.3041 · 0.5291 |
(2,4,8) |
| 1 | 0.2736 · 0.2957 · 0.5392 |
(11,12,13) |
| 1 | 0.2568 · 0.3345 · 0.5646 |
(0,2,4) |
| 1 | 0.2876 · 0.3039 · 0.5653 |
(0,1,3) |
| 1 | 0.2736 · 0.3376 · 0.5876 |
(7,11,13) |
| 1 | 0.3039 · 0.3345 · 0.6182 |
(0,1,2) |
| 1 | 0.2957 · 0.3429 · 0.6184 |
(12,13,14) |
| 1 | 0.2876 · 0.3528 · 0.6202 |
(1,3,7) |
| 1 | 0.3282 · 0.3559 · 0.6680 |
(6,10,14) |
| 1 | 0.3376 · 0.3528 · 0.6749 |
(3,7,11) |
| 1 | 0.3282 · 0.3826 · 0.6966 |
(2,6,10) |
| 1 | 0.3490 · 0.3887 · 0.7251 |
(1,5,9) |
| 1 | 0.3490 · 0.4015 · 0.7385 |
(5,9,13) |
| 1 | 0.3611 · 0.5871 · 0.9421 |
(1,6,8) |
| 1 | 0.4305 · 0.5579 · 0.9833 |
(7,9,14) |
| 1 | 0.3780 · 0.6153 · 0.9881 |
(8,10,13) |
| 1 | 0.3604 · 0.6708 · 1.0263 |
(3,5,8) |
| 1 | 0.4503 · 0.5964 · 1.0424 |
(2,5,7) |
| 1 | 0.3780 · 0.6883 · 1.0618 |
(8,9,11) |
| 1 | 0.3563 · 0.7581 · 1.1103 |
(4,6,7) |
| 1 | 0.4666 · 0.6680 · 1.1312 |
(0,6,14) |
| 1 | 0.4450 · 0.7251 · 1.1668 |
(1,9,12) |
| 1 | 0.4774 · 0.6966 · 1.1709 |
(2,10,12) |
| 1 | 0.3559 · 0.8275 · 1.1799 |
(1,10,14) |
| 1 | 0.4654 · 0.7385 · 1.2009 |
(0,5,13) |
Provenance
- Found by Tej Stead, July 2026.
- Coordinates from this site's companion repository:
TejSteadQC/heilbronn-configurations claims/02-record-convex-n15. - Verified in exact arithmetic: all 455 triples enumerated, 25 tied at the minimum.
- Friedman's page lists:
A = .02456+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
