Fifteen independent pendulums, no coupling at all. Pendulum n swings exactly N+n times in Γ seconds, so its length is L = g·(Γ / 2π(N+n))². Out of nothing but slightly different lengths come travelling waves, snakes, a split into two rows, three, and chaos, and at t = Γ every bob is back in one line. Drag sideways to scrub through time.
LIT small-angle pendulum period T = 2π√(L/g), g = 9.80665 m/s²; the classic demonstration uses Γ = 60 s, N = 51 (Harvard Natural Sciences Lecture Demonstrations). AMBER the small-angle formula; real large swings run a little slow. ANALOGY realignment as the homeostatic return to 0. ← SaPpH{{i}}on
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