This applet demonstrates the renormalization group applied to site percolation in two dimensions. The 6 lattices pictured have dimensions 32x32, 16x16, 8x8, 4x4, 2x2, and 1x1.
Occupied sites are colored red and empty sites are colored black.
The 32x32 lattice represents the physical percolation system. There are of course finite size effects, including the definition of the spanning criterion, which will modify these expectations. This applet uses the comphys package.