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Progressive Mapping Animation (Even) — Description

Animation of successive transformations of the coordinate system for an image from rectangular to polar coordinates. I did two versions, one for odd-numbered iterations and the other for even-numbered iterations, because if I included both in the same image, there was no way to get the colors of the different regions of the fractal to be consistent (since the "outside" part alternates between black and white) and I would get this seizure-inducing flashing effect.
I figured out the mathematics for this transformation here:
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