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I came here expecting to see Steven Wittens' excellent writeup [0] mentioned in the comments. Since it is not, I feel obligated to mention it.

[0] https://acko.net/blog/how-to-fold-a-julia-fractal/




Yes, I think this makes things very intuitive, and I use it (well, the first slideshow in it) to introduce the idea when I teach complex numbers.




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