Greetings - I just learned about a nifty representation of the Fourier
series using epicycles, perhaps the CCP4 readers would be interested in -
there's an animated gif here :

https://twitter.com/johncarlosbaez/status/1094671748501405696?lang=en

This longer video shows more detail of this approach, where a refinement
process is used to draw a fairly complex two-dimensional picture:

What is a Fourier series? (Explained by drawing circles) - Smarter Every
Day 205
https://youtu.be/ds0cmAV-Yek

finally, the video above originated from this blog :
Turkish language : http://bilimneguzellan.net/fuyye-serisi/
part 2 : http://bilimneguzellan.net/en/follow-up-to-fourier-series-2/

Enjoy,

-Bryan W. Lepore

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