Triangle, n = 16 record reconstructed coords
A = 0.017976275987234…
full precision
Exact value of the published coordinate literals:
0.01797627598723430820286744296
Symmetry
Symmetry
120° Rotationally symmetric (group C3, order 3).
Minimal triangles
27 triangles tied (within relative 10−9) at the minimal area, in 9 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 3 | 0.2279 · 0.2725 · 0.4769 |
(2,3,4) (5,7,9) (8,12,13) |
| 3 | 0.2725 · 0.2811 · 0.5372 |
(2,3,5) (4,8,12) (7,9,13) |
| 3 | 0.3984 · 0.4488 · 0.8429 |
(0,3,8) (2,7,10) (9,12,15) |
| 3 | 0.4356 · 0.4488 · 0.8807 |
(0,2,7) (3,8,15) (9,10,12) |
| 3 | 0.3984 · 0.6501 · 1.0461 |
(0,3,12) (3,7,10) (7,12,15) |
| 3 | 0.4079 · 0.7285 · 1.1344 |
(1,6,13) (4,6,14) (5,6,11) |
| 3 | 0.4079 · 0.7317 · 1.1376 |
(0,6,13) (4,6,10) (5,6,15) |
| 3 | 0.5829 · 0.5858 · 1.1671 |
(0,4,11) (1,5,10) (13,14,15) |
| 3 | 0.4640 · 0.7991 · 1.2617 |
(1,3,11) (1,7,14) (11,12,14) |
Provenance
- Found by David Cantrell, June 2007.
- Coordinates reconstructed by local optimization:
heilbronn-site reconstruct/reconstruct.py— reconstructed by local optimization; matches published value 0.0179+ and symmetry (120° Rotationally symmetric). - Verified in exact arithmetic: all 560 triples enumerated, 27 tied at the minimum.
- Friedman's page lists:
A = .0179+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
