Off-Lattice DLA — Fjord Cluster

Diffusion-Limited Aggregation · fractal dimension ≈ 1.71


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Particles
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Cluster radius
Fractal dim D
DLA: Particles random-walk from far away and stick on contact. The branching fractal arises because fjords (interior gaps) become inaccessible — tips attract more walkers than fjord interiors (harmonic measure concentrates on tips). Off-lattice growth removes grid bias, revealing the true D_f ≈ 1.71 (2D) via Hausdorff dimension.