Thresholds On Subnet Lattices
The 2 × 2 subnet is known as the "triangular kagome" lattice
| Lattice | z | Site Percolation Threshold | Bond Percolation Threshold | |
|---|---|---|---|---|
| checkerboard – 2 × 2 subnet | 4,3 | 0.596303(1) | ||
| checkerboard – 4 × 4 subnet | 4,3 | 0.633685(9) | ||
| checkerboard – 8 × 8 subnet | 4,3 | 0.642318(5) | ||
| checkerboard – 16 × 16 subnet | 4,3 | 0.64237(1) | ||
| checkerboard- 32 × 32 subnet | 4,3 | 0.64219(2) | ||
| checkerboard – subnet | 4,3 | 0.642216(10) | ||
| kagome – 2 × 2 subnet | 4 | 0.74042077... (same as (3, 122) bond) | 0.6008624(10), 0.60086193(3) | |
| kagome – 3 × 3 subnet | 4 | 0.6193296(10), 0.61933176(5), 0.61933044(32) | ||
| kagome – 4 × 4 subnet | 4 | 0.625365(3), 0.62536424(7) | ||
| kagome – subnet | 4 | 0.628961(2) | ||
| kagome – (1 × 1):(2 × 2) subnet | 4 | 0.707107... = 1/√2 (martini bond) | 0.57086648(36) | |
| kagome – (1 × 1):(3 × 3) subnet | 4,3 | 0.728355596425196... | 0.58609776(37) | |
| kagome – (1 × 1):(4 × 4) subnet | 0.738348473943256... | |||
| kagome – (1 × 1):(5 × 5) subnet | 0.743548682503071... | |||
| kagome – (1 × 1):(6 × 6) subnet | 0.746418147634282... | |||
| kagome – (2 × 2):(3 × 3) subnet | 0.61091770(30) | |||
| triangular – 2 × 2 subnet | 6,4 | 0.471628788 | ||
| triangular – 3 × 3 subnet | 6,4 | 0.509077793 | ||
| triangular – 4 × 4 subnet | 6,4 | 0.524364822 | ||
| triangular – 5 × 5 subnet | 6,4 | 0.5315976(10) | ||
| triangular – subnet | 6,4 | 0.53993(1) |
Read more about this topic: Percolation Threshold