An alternate projection for complex numbers

[matsoljare]

Since every compex number can be described by angle and distance, rather than real and imaginary value, have anyone tried visually rendering them this way? Letting the x dimension in the image represent the angle, and y the distance, instead of real and imaginary part.... 

[Timeroot]

That can be done with the "Rectangular to Polar" and "Polar to Rectangular" transforms in dmj.uxf in UF.

[Tglad]

"have anyone tried visually rendering them this way? Letting the x dimension in the image represent the angle, and y the distance"

It isn't that interesting really, just an unwrapping of the mandelbrot (if that's what you're referring to), but the topology of the shape doesn't change. In fact most zooms will look almost identical, just rotated or scaled.
It might be interesting to add C as a vector in this (angle,radius) space, which would give a different fractal.
i.e. for every C = (angle, radius), iterate (Z^2) rotated by angle, expanded by radius

[Timeroot]

Tglad: I'd actually already implemented that several days ago under "Polar Addition" in ahm.ufm. It looks somewhat like a sun. *yawn*

[matsoljare]

Can you show some picture examples?

[makc]

maybe this one instead?

[kram1032]

Rieman-Sphere was tested a bunch of times, afaik...