Particles diffuse randomly and stick on contact — a fractal cluster with dimension ≈ 1.71 grows
DLA Cluster
log(N) vs log(R)
0 particles | fractal dim: —
Particles are released from far away and random-walk until touching the cluster.
Branching occurs because tips intercept diffusing particles before valleys.
Fractal dimension D ≈ 1.71 (2D): N(R) ∝ R^D — measure slope of log-log plot.
Colors encode particle age: dark blue (early) → bright cyan (recent).