END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

this can be done through a simple pre-transform, in ultrafractal there exist already useable functions for this, once you encounter the one that fits your needs, all you have to do to use it in your own program, you apply the function/transform to  the x/y or real/imaginary coordinate before starting the iteration loop ... in ultrafractal this is called "mapping"

If you can handle compiling code yourself, get the entire tree from http://code.google.com/p/boxplorer2/source/checkout
build boxplorer for your OS and then run from your shell prompt

./boxplorer cfgs/mandelbrot.cfg
or
./boxplorer cfgs/knighty/Mandel.cfg
or
./boxplorer cfgs/syntopia/spherical.cfg

[backward slashes if you're on Windows. Did the clown who decided to pick backward slashes for CP/M and DOS ever get to the stand??]

You can <tab> through one or more scenes that show a mandelbrot in a 3d setting where tilting a plane is standard fare.
Fly around w/ mouse and WSAD keys.