Point Perfect

Worked on getting a point on a polar circle on Graph, last night. Ended up with

different frames of reference on the one graph...

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This morning, on macOS Grapher. The first is the example for Global vs Local

parametric equations on the complex plane. The second is straight entries on 

Polar Parametric. 👍

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Below, today's problem. How to replicate that right-hand figure:

https://www.amq.math.ca/wp-content/uploads/bulletin/vol57/no1/05-Riemann.pdf

Mapping a squared complex polar point amounts to squaring the modulus value

and doubling the angle.

A conformal map is fancier: it conserves angles but not orientation as one goes

from one type of map to another. Our model is a conformal maping!!

http://cmgreen.io/2015/12/24/the-ahlfors-iteration.html

http://www-users.math.umn.edu/~%20olver/ln_/cml.pdf

https://www.pacifict.com/Examples/Example48.html