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Fourier Epicycles

Watch rotating circles decompose any curve into harmonic frequencies

Draw Your Own
Presets
DFT Spectrum
Click and drag on the canvas to draw a shape, then watch the epicycles recreate it!
Draw a path...
Select a preset shape to see epicycles in action
♥
Heart
Classic heart curve
★
Star
Five-pointed star
π
Pi Symbol
Mathematical constant
𝄞
Treble Clef
Musical notation
∞
Infinity
Lemniscate curve
Select a preset...
Frequency spectrum showing the amplitude of each harmonic component
Frequency Magnitudes

The Discrete Fourier Transform decomposes your drawing into frequency components. Each bar represents the amplitude of a rotating circle at a specific frequency.