Cluster size distribution in Bernoulli site percolation on a honeycomb lattice
Bernoulli site percolation on a honeycomb lattice, for different lattice sizes. Open clusters are colored according to their size.
The parameter p increasing from 0 to 1 is the probability that a hexagon is open. Closed hexagons are shown in dark blue, and open ones in colors ranging from purple to yellow. The increase of p slows down when it reaches the critical value, which is equal to 1/2. The histogram shows the distribution of cluster sizes.