Convex, n = 17 record
A = 0.019057332752172…
full precision
Exact value of the published coordinate literals:
0.0190573327521721313156019321339
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
28 triangles tied (within relative 10−9) at the minimal area, in 28 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.1854 · 0.3341 · 0.4936 |
(1,2,13) |
| 1 | 0.2830 · 0.2882 · 0.5544 |
(0,14,15) |
| 1 | 0.2506 · 0.3551 · 0.5914 |
(7,12,16) |
| 1 | 0.2212 · 0.3993 · 0.6064 |
(6,8,15) |
| 1 | 0.2701 · 0.4560 · 0.7176 |
(5,10,12) |
| 1 | 0.2563 · 0.4941 · 0.7426 |
(5,7,11) |
| 1 | 0.3253 · 0.4256 · 0.7438 |
(3,4,14) |
| 1 | 0.3361 · 0.4289 · 0.7583 |
(9,11,16) |
| 1 | 0.2506 · 0.5152 · 0.7583 |
(1,12,16) |
| 1 | 0.2863 · 0.4941 · 0.7737 |
(7,8,11) |
| 1 | 0.2897 · 0.4947 · 0.7777 |
(4,11,12) |
| 1 | 0.2701 · 0.5182 · 0.7815 |
(4,5,10) |
| 1 | 0.2212 · 0.5755 · 0.7894 |
(6,8,12) |
| 1 | 0.3147 · 0.5354 · 0.8450 |
(8,10,16) |
| 1 | 0.3993 · 0.4595 · 0.8540 |
(8,13,15) |
| 1 | 0.2882 · 0.5984 · 0.8818 |
(0,4,15) |
| 1 | 0.2830 · 0.6064 · 0.8845 |
(6,14,15) |
| 1 | 0.3341 · 0.5802 · 0.9101 |
(1,2,5) |
| 1 | 0.3745 · 0.5914 · 0.9625 |
(7,12,14) |
| 1 | 0.3318 · 0.6467 · 0.9750 |
(0,9,12) |
| 1 | 0.3147 · 0.7192 · 1.0308 |
(0,10,16) |
| 1 | 0.2563 · 0.7962 · 1.0491 |
(5,7,13) |
| 1 | 0.4595 · 0.5983 · 1.0553 |
(3,8,13) |
| 1 | 0.2897 · 0.7894 · 1.0761 |
(4,6,12) |
| 1 | 0.4289 · 0.7076 · 1.1344 |
(2,9,16) |
| 1 | 0.2614 · 0.8850 · 1.1436 |
(3,7,15) |
| 1 | 0.4302 · 0.7583 · 1.1867 |
(9,11,13) |
| 1 | 0.4302 · 0.7777 · 1.2062 |
(4,11,13) |
Provenance
- Found by Rhys Chappell, September 2026.
- Coordinates by an external contributor, re-verified here:
autoheilbronn v6 campaign; two independent exact rational verifiers— Basin exploration with triangle-orientation changes and point reinsertion, followed by trust-region linear programming.. - Verified in exact arithmetic: all 680 triples enumerated, 28 tied at the minimum.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
