Convex, n = 9 record reconstructed coords
A = 0.064064752307941…
full precision
Exact value of the published coordinate literals:
0.0640647523079415295202316672673
Symmetry
Not symmetric (group C1, order 1). (Friedman's page says: 2-fold symmetry.)
Minimal triangles
11 triangles tied (within relative 10−9) at the minimal area, in 11 congruence classes:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.4995 · 0.6369 · 0.9797 |
(0,3,6) |
| 1 | 0.5918 · 0.6369 · 1.1235 |
(0,4,6) |
| 1 | 0.5451 · 0.7573 · 1.2161 |
(2,5,8) |
| 1 | 0.5451 · 1.0141 · 1.5100 |
(2,3,8) |
| 1 | 0.4995 · 1.0725 · 1.5212 |
(3,5,6) |
| 1 | 0.7573 · 0.9036 · 1.6246 |
(4,5,8) |
| 1 | 0.6966 · 1.0725 · 1.7383 |
(1,3,5) |
| 1 | 0.9036 · 1.0589 · 1.9412 |
(1,4,8) |
| 1 | 0.8856 · 1.1631 · 2.0298 |
(0,7,8) |
| 1 | 0.8856 · 1.2489 · 2.1176 |
(6,7,8) |
| 1 | 1.0589 · 1.1631 · 2.2076 |
(0,1,8) |
Provenance
- Found by David Cantrell, June 2007.
- Coordinates reconstructed by local optimization:
heilbronn-site reconstruct/reconstruct.py— reconstructed by local optimization; matches published value 0.0640+. - Verified in exact arithmetic: all 84 triples enumerated, 11 tied at the minimum.
- Friedman's page lists:
A = .0640+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
