
Lyapunov
Zircon Swallows
Lyapunov Fractal
The logistic map x -> r x (1 - x) driven by the repeating twelve-step sequence BBBBBBAAAAAA, with A taking r = a on the horizontal axis and B taking r = b on the vertical. Every pixel starts at x = 0.5, runs 1200 warm-up steps, then averages the Lyapunov exponent over 3000 more. Brightness runs on exp(lambda / 0.05), so gold is rare and falls on the stability boundary, stable interiors sink to deep green metal and the chaotic ground goes near-black.