Harmonograph

Two pendulums, each a fading sine wave, draw this. Slide Detune up from zero and watch the figure stop closing — the structure is made of near-misses.

Presets — try these

At Detune = 0 the frequencies are exact whole-number ratios, so the pen retraces one closed loop forever. The smallest offset makes each lap land a hair off the last — it precesses into a rose instead.