Fourier Epicycles Drawing Tool

Draw with mouse or touch. Scroll to zoom; hold Space and drag to pan. Click Make Fourier, then Play. Use sliders to refine. Double‑tap to toggle play.

Status

Points drawn 0

Samples used 0

Epicycles used 0

FPS —

How it works

Your drawing is sampled into 768 equally spaced points along its length. We compute complex Fourier coefficients \(C_k\) and animate epicycles following \(\sum_k C_k e^{i2\pi k t}\). Increase Epicycles for more detail.

Tips

Use Fit to center/scale your drawing.
Try fewer Samples for faster recompute, then increase.
"Close path" is best for logos/shapes. Turn it off for open strokes.
Import/Export uses normalized coordinates so it scales to any canvas.

Built with vanilla JS. Drop this file into your site or embed in an iframe.