>stbenge  on date 08/12/2010 07:13 wrote:
> Greetings!
>
> Last May, "knighty" of fractalforums.com amazed fractal fans worldwide
> when he presented a new class of escape time fractals he calls
> "Kaleidoscopic IFS." Forum members quickly grasped the concept and
> proceeded to create many interesting variants, many of which you can see
> in this seminal thread:
>
http://www.fractalforums.com/3d-fractal-generation/kaleidoscopic-%28escape-time-ifs%29/?PHPSESSID=8fddfae07b02d36cd3c05e028fd6a7d9
>
>
> Jos Leys then went on to describe these fractals in more detail:
> http://images.math.cnrs.fr/Un-ballon-de-foot-fractal.html I highly
> recommend checking out the rest of his site if you haven't done so
> already; he's done some very cool things.
>
> The theory behind these objects is that all polyhedra have a set of
> symmetry planes about which geometry may be reflected. If an iterated
> function is reflected, scaled off-center and tested against a sphere,
> there will be an emergence of new, often unexpected shapes.
>
> I have managed to make a full implementation of the five Platonic
> solids, along with an ad-hoc cavity shader. You can find the scene file
> here:
>
http://news.povray.org/povray.text.scene-files/thread/%3C4cff1d96%40news.povray.org%3E/
>
>
> Perhaps you'll find these fractals as captivating as I do :)
>
> Happy Raytracing!
>
> -Sam
Thank you for the interesting images, Sam, I've always been fascinated 
by IFS: they are simple to write and may conduce to unexpected shapes 
(the good of iterative algorithms - years ago I made a little 2D IFS 
parser in POV-Ray).
;-)
Paolo

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