Rotating view of cluster growth in Bernoulli site percolation on a cubic lattice

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Rotating view of cluster growth in Bernoulli site percolation on a cubic lattice

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The connected component of one face for Bernoulli site percolation on a cubic lattice, for increasing parameter p and different lattice sizes.

All cubes of the lattice are independently open with probability p, and closed with probability 1-p, except the cubes of the bottom face, which are all open. The animation shows only the connected component of open lattice cubes containg the bottom face. The colour of the cubes depends on their height. The graph shows the ratio between the number or cubes in the connected component, and the number of open cubes.

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