Triangle, n = 10 record
A = 0.043376740678049…
full precision
Exact value of the published coordinate literals:
0.043376740678049452938271455183
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
14 triangles tied (within relative 10−9) at the minimal area, in 14 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.1945 · 0.4584 · 0.5375 |
(0,3,4) |
| 1 | 0.2884 · 0.4733 · 0.7196 |
(2,5,6) |
| 1 | 0.3980 · 0.4017 · 0.7671 |
(1,7,8) |
| 1 | 0.4017 · 0.4333 · 0.8069 |
(6,7,8) |
| 1 | 0.1945 · 0.7033 · 0.8625 |
(0,4,8) |
| 1 | 0.4546 · 0.4733 · 0.9079 |
(1,2,5) |
| 1 | 0.4333 · 0.5053 · 0.9193 |
(6,7,9) |
| 1 | 0.4718 · 0.5118 · 0.9670 |
(2,3,7) |
| 1 | 0.4276 · 0.5811 · 0.9931 |
(0,5,7) |
| 1 | 0.4718 · 0.7671 · 1.2304 |
(1,3,7) |
| 1 | 0.5698 · 0.6836 · 1.2456 |
(5,8,9) |
| 1 | 0.3980 · 0.8625 · 1.2517 |
(1,4,8) |
| 1 | 0.4584 · 0.8998 · 1.3513 |
(3,4,9) |
| 1 | 0.5053 · 0.8835 · 1.3827 |
(0,6,9) |
Provenance
- Found by David Cantrell, June 2007.
- Coordinates by an external contributor, re-verified here:
David Cantrell's original coordinates (Mathematica list), received September 2026— Original author's arrangement for the entry, previously shown only as a reconstruction; Cantrell's literals converge to the same configuration under local polishing, and the literals here are that arrangement tightened to 15 decimals.. - Verified in exact arithmetic: all 120 triples enumerated, 14 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
