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
Famous quotes containing the words square and/or complex:
“After the planet becomes theirs, many millions of years will have to pass before a beetle particularly loved by God, at the end of its calculations will find written on a sheet of paper in letters of fire that energy is equal to the mass multiplied by the square of the velocity of light. The new kings of the world will live tranquilly for a long time, confining themselves to devouring each other and being parasites among each other on a cottage industry scale.”
—Primo Levi (1919–1987)
“Uneducated people are unfortunate in that they do grasp complex issues, educated people, on the other hand, often do not understand simplicity, which is a far greater misfortune.”
—Franz Grillparzer (1791–1872)