Strange Attractor Gallery

Five iconic strange attractors, rendered in 3D. Each is a chaotic system whose trajectory never repeats yet stays forever bounded.

Strange Attractor GalleryLive

3D chaos · drag to orbit

Controls

Five famous strange attractors in 3D. Tune the Lorenz constants, then drag to orbit around the chaos.

Presets

σ (sigma)

ρ (rho)

β (beta)

Integration points

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Data Inspector

AttractorLorenz

Points19,799

ρ (rho)28

TypeStrange / chaotic

Governing equation

\overset{x}{˙} \overset{y}{˙} \overset{z}{˙} = σ (y - x) = 10 (y - x) = x (ρ - z) - y = x (28 - z) - y = x y - β z = x y - 2.667 z

Reading this result: Classic Lorenz (ρ=28, σ=10): the trajectory orbits two lobes forever without ever repeating. Sensitive dependence on initial conditions means the tiniest nudge changes everything — the butterfly effect.

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How it works

Each attractor is a set of three coupled ODEs integrated to trace a single never-repeating trajectory, drawn in 3D with an orbit camera. From the Lorenz butterfly to the Aizawa torus, these are the geometric fingerprints of deterministic chaos.

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Frequently asked questions

Is this strange attractor tool really free?▾

Yes. Strange Attractor Gallery 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.

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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.