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STRANGE ATTRACTOR

Initializing chaos...
΃ SIGMA Fluid Dynamics
΁ RHO Temperature Gradient
β BETA System Aspect

PRESETS

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About the Lorenz Attractor

The Lorenz system is a set of differential equations first studied by Edward Lorenz in 1963, demonstrating the famous "butterfly effect" - how small changes in initial conditions lead to vastly different outcomes.

The Equations:

dx/dt = ΃(y - x)

dy/dt = x(΁ - z) - y

dz/dt = xy - βz

The Parameters:

  • ΃ (sigma) - Prandtl number, relates to fluid viscosity
  • ΁ (rho) - Rayleigh number, relates to temperature difference
  • β (beta) - Geometric factor of the system

The classic "butterfly" configuration uses ΃=10, ΁=28, β=8/3 (≈2.67).

💡 Tip: Try holding Shift while clicking Randomize for EXTREME chaos!