FRACTAL TRIPEXPLORE INFINITYTAKE A TRIP ✦
THE BUTTERFLY

The Lorenz Attractor

Three differential equations create the iconic butterfly-shaped strange attractor.

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The Lorenz Attractor fractal artwork
Original Fractal Trip procedural render
THE BUTTERFLY

Three equations

dx/dt=σ(y−x)   dy/dt=x(ρ−z)−y   dz/dt=xy−βz

For the classic parameters σ=10, ρ=28 and β=8/3, trajectories remain bounded yet do not settle into a repeating cycle.