Critical Percolation Hull Walk

Site percolation at p_c ≈ 0.5928 — cluster boundaries, fractal dimension d_f = 7/4
Critical site percolation: p_c ≈ 0.5928 (square lattice)  |  External hull: d_f = 7/4 = 1.75
Total perimeter: d_f = 7/4  |  SLE₆ is the scaling limit (Smirnov 2001)
Clusters
Largest cluster
Hull length
Spanning?