The Logistic Map
A harmless formula where order collapses into chaos
Each new iterate xₙ becomes a tone. At low r you hear one steady note (a fixed point). Past r = 3 the note splits in two and you hear a 2-note oscillation, then 4, then 8 — a period-doubling cascade. Past r ≈ 3.5699 the pitches scatter into noise.
