Comment by seanhunter

I'm not sure whether or not he did this first, but it's very similar to an extremely impressive, but old and well-known illustration of the power of Fourier analysis in which you construct a "Fourier epicycle" (think: machine made of circular gears of different ratios) that can sketch any image. 3blue1brown has a great video on Fourier Epicycles but you can also get the idea here https://mathematica.stackexchange.com/questions/171755/how-c...