Number of clusters for Bernoulli site percolation on a honeycomb lattice
Bernoulli bond percolation on a honeycomb lattice, for different lattice sizes. Open clusters are shown in different colors.
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 graph shows the number of clusters divided by the number of sites, as a function of p.