PPolySim OS

Diffusion-Limited Aggregation

Watch a fractal grow itself. Particles wander in from the edges and freeze the instant they touch the cluster, building delicate branching dendrites.

Diffusion-Limited AggregationLive

Controls

Particles wander randomly from the edge and stick where they touch the cluster. The result is a branching fractal — like frost, coral, and mineral dendrites.

Presets

▶ Run in Python

Data Inspector

Cluster size1
Grid200×200
Fractal dim.≈ 1.71

Governing equation

Reading this result: Each walker sticks on first contact, so exposed tips capture particles before they reach the interior (screening) — that feedback is what makes the cluster branch as an open fractal.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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How it works

Diffusion-limited aggregation (DLA) releases particles that random-walk until they contact the growing cluster and stick. Because outer tips shield inner regions, the structure branches into a fractal with dimension ≈ 1.71 — the same process behind frost, mineral dendrites, coral, and electrical discharge patterns.

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The math, the assumptions, real-world uses, or a code translation — explained for this exact simulation.

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Frequently asked questions

Is this diffusion limited aggregation tool really free?▾
Yes. Diffusion-Limited Aggregation runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?▾
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.