What is a Fourier epicycle generator?
It draws a shape by stacking rotating circles (epicycles). Each circle is a Fourier series term. More harmonics usually means a sharper outline and a lower approximation error.
Fourier Epicycle Generator Online
Animate shapes with stacked rotating circles. Upload SVG or images, draw freehand, tune harmonics, and apply neon FX — all in your browser.
100% free · Runs in your browser · No credits or API calls
Fourier Studio
Rotate & flip shape
Epicycle parameters
Colors & FX
Playback & modes
What is this Fourier Epicycle Generator?
This free online Fourier epicycle studio turns animal silhouettes, classic curves, uploaded images, SVG paths, or freehand drawings into animated epicycles — the same idea popularized by 3Blue1Brown-style Fourier drawings.
X and Y coordinates are decomposed with a discrete Fourier transform, sorted by amplitude, then drawn as rotating arms. Optional neon FX and color themes make it useful for education, generative art, and short social clips.
How to use the generator
- Pick an animal silhouette, classic curve, upload a file, paste an SVG path, or draw freehand.
- Rotate or flip the shape, then raise Harmonics (N) until the outline looks crisp.
- Tune color theme, spark particles, neon bloom, grid, pulse fill, and animation speed.
- Use 5s Record for a countdown before a clean animation pass, or Fibonacci auto-step to watch N grow term by term.
Frequently asked questions
Is this Fourier Epicycle Generator free?
Yes. It runs entirely in your browser on tools-bundle.com — no signup, credits, or AI API calls.
Can I upload my own image or SVG?
Yes. Upload SVG, PNG, JPG, or WebP, or paste an SVG path. The tool traces a silhouette, resamples it, then rebuilds it with epicycles. You can also freehand-draw on the canvas.
What does the harmonics (N) slider do?
N is how many Fourier terms are used. Low N looks abstract; high N (up to the sample count) gets closer to the original silhouette. The on-canvas error percentage estimates omitted energy.
Does it work on mobile?
Yes. The canvas scales to your screen and studio controls collapse into a bottom panel you can show or hide while drawing or watching the animation.