tilting the mandelbrot 2d plane

[tobiles]

I would like to find a way to zoom into a 2d fractal, mandelbrot, julia, or whatever, then tilt the plane to the horizon, and do a flyover animation. Can anybody suggest a way that this could be done? I'm trying find new ways to make engaging fractal animations for education. Any other input and suggestions would be welcome as well.

[cKleinhuis]

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"

[tobiles]

UltraFractal has to wait until I have money again. Oh well, I guess i can wait. Thanks for the tip.

[marius]

UltraFractal has to wait until I have money again. Oh well, I guess i can wait. Thanks for the tip.

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.

[Sockratease]

I would like to find a way to zoom into a 2d fractal, mandelbrot, julia, or whatever, then tilt the plane to the horizon, and do a flyover animation. Can anybody suggest a way that this could be done? I'm trying find new ways to make engaging fractal animations for education. Any other input and suggestions would be welcome as well.

I'd cheat.Map the zoom sequence to a plane in either a video editor that handles 3D like Sony Vegas or After Effects, or a dedicated 3D program like Carrara or, if money is a problem, Blender is free.

Then you can manipulate the plane and camera and background (even the horizon) however you want.

Hope that helps.