Try drawing something on the first canvas, and watch two sets of mechanical alien arms retrace your sketch (no touch screen support yet): Once you're done with this introduction to Fourier analysis, you'll be capable of making this (and a lot more) yourself. The satisfying animation is made possible by the subject of this post - an infinite sum called the Fourier series. The formula is short, and with some effort, you can memorize it. However, I implore you to understand where the series comes f...