To produce an example of such a percolation, start with a square lattice of side length L and some number p, 0 ≤ p ≤ 1. | |||||||||
Generate a random number in [0,1] for each cell of the lattice, and say a cell is empty if the random number is less than p. | |||||||||
Here we see patterns generated in this way for
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The empty cells are black, the filled cells white. | |||||||||
Imagining the dark cells are empty and
the light are filled with a solid, it is easy to see that a fluid injected anywhere along
the left side of | |||||||||
For |
Return to percolation.