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✨ This time, I built a little mathematical art studio called The Fourier Menagerie.
🎨 Open the Fourier Menagerie
Here's the experiment: draw absolutely anything with your finger or mouse. Then watch a collection of rotating circles attempt to reproduce your drawing.
The underlying mathematics is the discrete Fourier transform.
You can increase the number of circles, watch the approximation improve, and see the reconstruction error decrease. There's even a live demonstration of Parseval's identity.
You can also generate strange random curves, explore ready-made shapes, and save your creations as pictures.
My favorite experiment: Choose the heart, reduce the number of circles to one, and gradually increase it to 40. A recognizable shape emerges from what initially looks like meaningless circular motion.
Everything runs locally in your browser.
I wanted to make something where a mathematical theorem becomes a little piece of kinetic art. 🌿
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