Mode

Preset shape Draw your own

Preset shape Epicycles used: — Animation speed: 1.0× Show rotating circles

Stats

Points sampled0

Epicycles used0

Angle θ0°

Period fraction0%

Any closed path can be drawn by a sum of rotating vectors. Their frequency, radius and phase come from the Discrete Fourier Transform of the path's complex samples zₖ = xₖ + i·yₖ. Switch to Draw mode to sketch your own closed loop.