The butterfly that started chaos theory. Tiny changes → wildly different futures.
Edward Lorenz (1963) discovered this system while modelling weather.
Three simple equations produce a trajectory that never repeats and never settles — the hallmark of deterministic chaos.
The "butterfly wings" appear from the projection of a 3D path.
Tweak σ, ρ, β to see how the shape morphs. Two trajectories start almost identically — watch them diverge.