Zooming out of percolation configurations on a honeycomb lattice
Backwards zooms for Bernoulli site percolation on a honeycomb lattice
The three-part movie shows backwards zooms for Bernoulli site percolation on a honeycomb lattice, in a subcritical case (p = 0.4), a supercritical case (p = 0.6) and a critical case (p = 0.5). Closed hexagons are shown in purple, open ones in colors that differ between clusters.
In the subcritical case, there are many small clusters. In the supercritical case, there is one giant cluster, plus many small clusters. In the critical case, there are clusters of all sizes, making the configuration statistically self-similar.