Triangle, n = 14 record
A = 0.023775773107572…
full precision
Exact value of the published coordinate literals:
0.023775773107572772515833024334
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
23 triangles tied (within relative 10−9) at the minimal area, in 23 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.2857 · 0.3041 · 0.5652 |
(7,10,12) |
| 1 | 0.2646 · 0.3686 · 0.6133 |
(1,3,12) |
| 1 | 0.2360 · 0.4410 · 0.6598 |
(2,3,13) |
| 1 | 0.2857 · 0.4213 · 0.6930 |
(8,10,12) |
| 1 | 0.2545 · 0.4550 · 0.6950 |
(6,9,12) |
| 1 | 0.2939 · 0.4646 · 0.7472 |
(1,4,5) |
| 1 | 0.3142 · 0.4505 · 0.7539 |
(2,4,7) |
| 1 | 0.3340 · 0.4647 · 0.7893 |
(5,9,10) |
| 1 | 0.3485 · 0.5021 · 0.8428 |
(0,1,10) |
| 1 | 0.4647 · 0.5140 · 0.9738 |
(2,5,10) |
| 1 | 0.3485 · 0.6323 · 0.9755 |
(0,1,7) |
| 1 | 0.4505 · 0.5501 · 0.9960 |
(4,7,9) |
| 1 | 0.3957 · 0.6181 · 1.0092 |
(0,3,4) |
| 1 | 0.4410 · 0.6098 · 1.0467 |
(3,8,13) |
| 1 | 0.2778 · 0.8146 · 1.0878 |
(0,11,13) |
| 1 | 0.4550 · 0.6502 · 1.1017 |
(0,9,12) |
| 1 | 0.2874 · 0.8574 · 1.1408 |
(8,9,11) |
| 1 | 0.5035 · 0.6644 · 1.1650 |
(3,6,10) |
| 1 | 0.4258 · 0.7893 · 1.2124 |
(5,9,13) |
| 1 | 0.3813 · 0.8726 · 1.2511 |
(1,2,8) |
| 1 | 0.6567 · 0.6598 · 1.3145 |
(2,3,11) |
| 1 | 0.5984 · 0.7539 · 1.3504 |
(2,6,7) |
| 1 | 0.6944 · 0.6950 · 1.3877 |
(6,11,12) |
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 364 triples enumerated, 23 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
