Square, n = 15 record
A = 0.021105359687
full precision
Exact value of the published coordinate literals:
0.021105359687
Symmetry
Not symmetric (group C1, order 1).
Minimal triangles
1 triangle tied (within relative 10−9) at the minimal area:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 0.2788 · 0.7917 · 1.0667 |
(5,6,8) |
Provenance
- Found by Peter Karpov, August 2011.
- Coordinates from spiralulam/heilbronn (MIT):
spiralulam/heilbronn config_n15.json— Karpov (unpublished). - Verified in exact arithmetic: all 455 triples enumerated, 1 tied at the minimum.
- Friedman's page lists:
A = .02111+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
