Happy Pi Day! In this video, we're going to put an analog synthesizer to some use by having it calculate pi. To get the experiment to work, we'll need to learn about periodic functions, the Fourier Series, and the frequency response of resonant filters.

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0:00 Periodic Functions
0:59 Fourier Series
3:03 Filters
4:45 The Experiment
5:39 Results

Fourier Series: Boas, Mathematical Methods for the Physical Science p.340-378
pi from filtered waves: Horowitz and Hill, The Art of Electronics p.435-455
pi from rectified sines: https://iopscience.iop.org/article/10...
pi in the Bible: 1 Kings 7:23-26