Square, n = 14 record
A = 0.024303833806
full precision
Exact value of the published coordinate literals:
0.024303833806
Classes
Symmetry
Symmetry
2-fold dihedral symmetry (group D2, order 4). (Friedman's page says: vertically and horizontally symmetric.)
Minimal triangles
4 triangles tied (within relative 10−9) at the minimal area:
| count | side lengths | triangles (point indices) | |
|---|---|---|---|
| 4 | 0.2768 · 0.5721 · 0.8399 |
(4,11,13) (5,10,12) (6,9,13) (7,8,12) |
Provenance
- Found by Mark Beyleveld, August 2006.
- Coordinates from spiralulam/heilbronn (MIT):
spiralulam/heilbronn config_n14.json— Beyleveld (unpublished). - Verified in exact arithmetic: all 364 triples enumerated, 4 tied at the minimum.
- Friedman's page lists:
A = .02430+.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure