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.