Fourier

Complex Fourier Series visulization from https://www.youtube.com/watch?v=r6sGWTCMz2k
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Press [space] to show/hide vectors
Adjust the amount of vectors using 'length', then press 'r' to generate a new random series
Change 'speed' to adjust how fast the animation plays.
Press 'i' to toggle individual trails
Press 't' to toggle trail fading 
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Click 'see code' to look at my (messy) code.  It has lots of comments to help explain what stuff does.  Feel free to ask questions!