2D Percolation

Largest cluster:
Spanning:
p_c(site) ≈ 0.5927
Site percolation: each cell occupied with probability p. Bond percolation: each edge open with probability p (p_c = 0.5 exact). Clusters found via union-find. Giant component appears at p_c — a second-order phase transition. Critical exponents: β=5/36, ν=4/3 (2D).