Physics
Pendulum wave
Tuned pendulums braid waves, spirals and chaos, then snap back into a line.
What happens
A row of pendulums whose lengths are tuned so the i-th completes exactly K+i swings per cycle: released together they weave travelling waves, standing combs and spirals, dissolve into chaos and re-assemble into one line at t = T. Every pendulum is the FULL nonlinear pendulum - crank the amplitude and the clockwork honestly detunes. The chart writes the choreography as one number: the phase coherence r.
Equations used in the module
Equations T = 2π √(L/g) pendulum i makes K + i swings in one cycle T: T_i = T / (K + i) L_i = g T_i² / (4π²); the line reforms every T
