Epicycle Gallery

Epicycle Gallery is a hands-on studio for Fourier series. Any closed drawing can be rebuilt as a chain of rotating circles — epicycles. Open a sketch and watch the mathematics draw. See the series, not just the formula. Each sketch splits the screen: rotating circles on top, the reconstructed path below. Play, pause, or restart a cycle. Open Epicycle Details to read every harmonic's radius, phase, and speed. A gallery of original mathematics. Simple Shapes covers hearts, roses, Lissajous figures, rolling-circle families, and other classic curves. Complex Shapes pushes the same idea into denser harmonic weaves, nested spirographs, and a constructed nautilus. Every curve in the gallery is original mathematics — no third-party characters or logos. Four labs when you want to invent. • Fourier Lab — retune harmonics, samples, and speed on any gallery curve • Circle Composer — stack circles…