PPolySim OS

Cellular Automata

Simple local rules, astonishing global behavior. Explore every elementary Wolfram rule and Conway's Game of Life.

Elementary Cellular AutomatonLive

Controls

One rule, 256 possibilities. Rule 30 makes chaos; Rule 90 makes a Sierpiński triangle; Rule 110 is Turing-complete.

Presets

▶ Run in Python

Data Inspector

Rule30
Cells201
Classchaotic/complex

Governing equation

Reading this result: Rule 30 is chaotic: from a single seed it produces patterns random enough that Wolfram used its center column as a random-number generator.

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

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How it works

Cellular automata update each cell from its neighbors by a fixed rule. Elementary automata (256 rules) range from trivial to chaotic (Rule 30) to Turing-complete (Rule 110); Conway's Game of Life produces gliders and self-replicating structures from just four rules — landmark examples of emergent complexity.

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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 cellular automata tool really free?
Yes. Cellular Automata 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.