Epicycles, complex Fourier series and Homer Simpson's orbit

What people said

photochemsyn · 2022-11 · Recommendation

For an additional video exposition, I also like Eugene Khutoryansky's "Fourier Transform, Fourier Series, and frequency spectrum" [LINK] In particular, the visualization of the addition of sine waves of different frequencies in three dimensions is pretty spectacular. It's similar to Mathologer's "Epicycles, complex Fourier series and Homer Simpson's orbit": [VIDEO]

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adolph · 2023-07 · Reference

> replicate the elaborate machines that engrave currency I think you may refer to a rose engine, which in operation is very close to a dimensional spirograph. A modern variant might be a core-xy open etch-a-sketch using those LCD writing tablets and a set of physical gears and pins that would control the stylus' motion, maybe powered by a folding handcrank like the Panic Playdate. It might even be a tool for teaching the Fourier series. rose engine: [LINK] core-xy: [LINK] LCD writing tablet: [LINK] Panic Playdate: [LINK] Teaching Fourier series: [VIDEO] Also, projects on Hackaday: [LINK]

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lisper · 2022-04 · Reference

Falsifying supersymmetry is like falsifying Ptolemaic epicycles. You can never falsify it with data because epicycles can always be constructed to fit any data set [1]. Likewise, a sypersymmetric theory can be constructed to fit any set of parameters. But fitting the data is not enough. You have to fit the data with substantially fewer parameters than data points. That's the challenge. [1] [VIDEO]

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