Math animation genius Grant Sanderson 3Blue1Brown created this complex Fourier series that spells out Spinning Numbers on the complex plane—using spinning numbers!
Each letter is drawn with 150 complex exponentials (spinning numbers) linked head to tail (vector add). The frequency of rotation of each successively shorter vector is an integer multiple of the base frequency. Integer multiple spacing is what makes it a Fourier series.
(If you are impatient click on the Settings gear and set the playback speed to 2.)
Music: Bluesy Vibes by Doug Maxwell
Created by Grant Sanderson. 3Blue1Brown Fourier analysis