Diffusion-Limited Aggregation

Witten & Sander (1981). Particles perform random walks from the boundary until they touch the growing cluster and permanently stick. The fractal dimension of the resulting structure is ~1.71.

Seed Shape
Parameters
Colour Palette
Statistics
Particles
1
Radius
0
Walkers
0
Frac. dim.
—
Rule: spawn a particle on a circle just outside the current cluster radius. Walk randomly (±1 on x or y). If it touches a cluster cell, stick. If it strays too far, remove and respawn.

Fractal dim. Df ≈ 1.71 — measured by log(N) / log(R); compare to a filled circle (D=2) or a line (D=1).

Related simulations

🎨 Spirograph 🔬 Fractal Explorer 🔢 Number Spirals 🌐 Geodesic Domes 🗺️ Spherical Projections 🔺 Sierpiński Triangle