Square, n = 3 trivial
A =
= 0.500000000000000000000000000000000000000000000…
Symmetry
Symmetry
Mirror symmetric (group D1, order 2). (Friedman's page says: symmetric about a diagonal.)
Minimal triangles
1 triangle tied (within relative 10−9) at the minimal area:
| count | side lengths | triangles (point indices) |
|---|---|---|
| 1 | 1.0000 · 1.0000 · 1.4142 |
(0,1,2) |
Provenance
- Trivial configuration.
- One of an infinite family of solutions.
- Coordinates from spiralulam/heilbronn (MIT):
spiralulam/heilbronn config_n03.json— trivial. - Verified in exact arithmetic: all 1 triples enumerated, 1 tied at the minimum.
- Friedman's page lists:
A = 1/2 = .5.
Downloads
- points.txt coordinates, tab-separated
- points.csv coordinates, CSV
- points.json full record: value, provenance, verification
- figure.svg this figure
