From: "Fred lunnon" <fred.lunnon@gmail.com>

...

http://math.ucr.edu/home/baez/square.root.html

I've read this webpage three times, and I still don't understand it.

I didn't make much sense of it, but maybe he's leading up to the idea that while you can flip the number line with two rotations, trying to build a complex conjugate out of rotations is a blind alley? --Steve