Strange Attractors

Parameters
Display
Color
Particles
Camera
Lorenz
Drag to rotate · Pinch to zoom · ☰ for controls

Lorenz

Drag to rotate · Scroll to zoom

0 FPS · 0 pts · dt 0.005

Strange Attractor Explorer

What am I looking at?

  • A strange attractor is the long-term behavior of a chaotic dynamical system
  • These are solutions to differential equations — simple rules that produce infinitely complex, never-repeating paths
  • The glowing trail traces a single particle moving through 3D space according to these equations
  • Despite appearing random, attractors have precise geometric structure — zoom in and you'll see the same patterns at every scale

How to interact

  • Drag to rotate the view around the attractor
  • Scroll to zoom in/out
  • Use the system dropdown to switch between 13 different attractors
  • Try the presets to see different behaviors of the same system
  • Adjust parameters to explore the edge of chaos
  • Space pause   R reset   S screenshot   H hide panel   ? this help

What the controls do

  • Parameters — Each system's differential equation has constants. Changing them warps the attractor's shape. Small changes can cause sudden transitions between order and chaos.
  • Speed — How many integration steps per frame. Faster = longer trails per second.
  • Trail Length — How many points the trail remembers. Longer = see more history.
  • Bloom — Glow intensity from additive blending that makes it luminous.
  • Color modes — Time gradient (age-based), Velocity map (speed-based), FunForrest mono (brightness only).
  • Multi-particle — Run several particles simultaneously to see how nearby trajectories diverge (demonstrates sensitive dependence).
  • Auto-orbit — Camera slowly rotates for a cinematic view.
  • Morph on switch — When changing systems, keeps the particle's current position (smooth morph) vs. reinitializing.

The 13 Systems

Why it matters

  • Chaos theory shows that deterministic systems can be fundamentally unpredictable
  • Weather, turbulence, population dynamics, heart rhythms — all governed by similar equations
  • These visualizations reveal the hidden geometric order within apparent randomness
H — hide panel · Space — pause · R — reset · S — screenshot · ? — help