Percolation & Giant Component

Bond percolation on a 2D grid — watch the giant component emerge at pc ≈ 0.5

Controls



Statistics

Bond probability p:0.000
Total bonds:0
Giant component:0
Giant / N²:0.000
Clusters:0
p_c threshold:0.500

Cluster Size Distribution

At p_c ≈ 0.5 (Kesten 1980), a giant cluster spanning the entire grid suddenly appears. Below threshold: only finite clusters. Above: ~60% of sites in one connected component.