Applications · Creative
Chaos in art & sonification
Strange attractors are mathematically beautiful objects. They have inspired visual artists since the 1980s and now power generative video, music, and live-coded performances.
Strange-attractor art generator
Pick an attractor, a colour scheme, and a trajectory length. Click "Download PNG" to save the artwork. Use as a desktop wallpaper, slide background, or T-shirt print.
Sonification
The chaotic time series x(t) is normalised to [0, 1] and mapped to frequency (±1 octave around the base) and amplitude. The result is an audio rendering of the attractor: the Lorenz butterfly becomes a whoosh-and-flutter; the logistic at r = 4 sounds like coloured noise; the Rössler attractor has a slower, more rhythmic feel.
Requires Web Audio API (works in modern desktop & mobile browsers). Use headphones for the full effect.
Chaos game rule
vertices = 3 regular polygon
step: P_{n+1} = P_n + 0.500 · (V_random − P_n)
similarity dim (rule = none): 1.5850Pure randomness + a fixed contractive rule = deterministic fractal. Barnsley's theorem guarantees convergence. Try N=4 with factor=0.5 and rule=none (fills a square) vs no-same (Sierpinski-carpet-like cousin).
Visual
Sprott's Strange Attractor Gallery, Iñigo Quílez's GLSL shader sketches, and 3D-rendered Lorenz/Ikeda animations populate modern generative-art portfolios.
Sonification
Map a chaotic time series to audio frequencies, amplitudes, or panning. Lorenz produces an evocative whoosh-and-flutter; logistic at r near 4 sounds like coloured noise; Mackey-Glass yields slowly modulating drones.
Algorithmic music
Use a chaotic map as a pitch sequence generator with quantisation to a musical scale, or drive rhythmic gates from binarised time series. Iannis Xenakis pioneered this approach in the 1960s; modern live-coding systems make it easy.
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