Percolation Threshold - Square Lattice With Complex Neighborhoods

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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