Square Lattice With Complex Neighborhoods
| Lattice | z | Site Percolation Threshold | Bond Percolation Threshold |
|---|---|---|---|
| square: 3N, 4N, 6N | 4 | 0.592... | |
| square: 3N+2N, 4N+3N, 6N+4N | 8 | 0.407... | |
| square: 4N+2N | 8 | 0.337... | |
| square: 6N+3N | 8 | 0.337... | |
| square: 5N | 8 | 0.270... | |
| square: 6N+2N | 8 | 0.277... | |
| square: 4N+3N+2N | 12 | 0.288... | |
| square: 6N+4N+3N | 12 | 0.288... | |
| square: 5N+2N | 12 | 0.236... | |
| square: 5N+3N | 12 | 0.225... | |
| square: 5N+4N | 12 | 0.221... | |
| square: 6N+3N+2N | 12 | 0.240... | |
| square: 6N+4N+2N | 12 | 0.233... | |
| square: 6N+5N | 12 | 0.199... | |
| square: 5N+3N+2N | 16 | 0.219... | |
| square: 5N+4N+2N | 16 | 0.208... | |
| square: 5N+4N+3N | 16 | 0.202... | |
| square: 6N+5N+2N | 16 | 0.187... | |
| square: 6N+5N+3N | 16 | 0.182... | |
| square: 6N+5N+4N | 16 | 0.179... | |
| square: 6N+4N+3N+2N | 16 | 0.208... | |
| square: 5N+4N+3N+2N | 20 | 0.196... | |
| square: 6N+5N+3N+2N | 20 | 0.177... | |
| square: 6N+5N+4N+2N | 20 | 0.172... | |
| square: 6N+5N+4N+3N | 20 | 0.167... | |
| square: 6N+5N+4N+3N+2N | 24 | 0.164... |
2N = nearest neighbours, 3N = next-nearest neighbours, 4N = next-next-nearest neighbours, 5N = next-next-next-nearest neighbours, etc.
Read more about this topic: Percolation Threshold
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