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Hi Everyone,

It was two weeks ago my brother send me an email with the link of Skytopia where I discovered these incredibles images of the mandelbulb world.
Immediatly I told myself: I want to do the same, to build a beautiful mandelbulb and make an animation where I can travel all around the mandelbulb, go deeper and deeper in this world with a good music on the background.
I found this forum where I saw these same images. And I have a question, I found lot of software to generate mandelbulb but I never can't generate a beautiful mandelbulb like Twinbee on the first page of this post or like here:
 http://www.fractalforums.com/mandelbulb-renderings/improved-lighting/
I spend all my nights on it and I can't find the formulas parameters to obtain this kind of romanesco shape.
I work with ChaosPro, and I play with the lights, change some parameters of the mandelbulb formula, I never find the way to increase the interation and obtain the pictures like I see on this forum. When the number of iterations increase the details became more and more complex (it's normal of course) but too much fretful, not the same way I can saw on the Twinbbe's iterations example where all the results are very soft.

So, my question is simple: With which software you work to obtain this deepness on the pictures (it is like some fog-shadow on the background) and to increase iteration and keep smooth details? I know it will be time consuming to obtain these beautiful pictures but I am not afraid to work on it.
Thank you for your help.

That's exactly how it works - a kind of "bailout extrapolation", if you will. In fact, it works for any fractal whose value of z grows like a^(Power^iter), where a is dependent upon the pixel. This means for Mandelbrot sets, Julia Sets, and (for example) the perpendicular slice of the power 1 MBulb, this works. Or, since newton iteration has quadratic convergence (usually), using power=-2 also gives smooth coloring. It's  very general formula indeed.

P.S. after I read this thread a couple days ago I implemented this formula with several fractal types in ahm.ucl in UF formula library, thinking it was something new. A few hours after uploading I discover the regular "Smooth (Mandelbrot)" did the exact same thing. 

The same scene with my new renderer (source code available at github, project "Gestaltlupe").

Compile this project on Visual Studio 2008 (or sharpdevelop), load "settings\animation\varIterations\eins.xml" and press start to render one picture.

it's like liquid that crystalizes in stunning shapes