Fourier Series Epicycles Drawing Synthesizer

Fourier series Epicycles

Select Custom Draw and trace a path on canvas

Fourier Drawing

Fourier Series Orbits & Epicycles

Decompose complex closed curves into frequency harmonics using the Discrete Fourier Transform (DFT). Watch rotating circular vectors draw outlines tip-to-tail.

Trace Path Preset:

Frequency Terms (N): 80

Drawing Speed: 1.0x

Overlay Rotating Orbits

Real-Time Telemetry

DFT Harmonics 80 Terms

Tracing State Drawing

DFT Processing 1.5 ms

Sampling Points 300 Points