The 3D fractals in this gallery, were produced as hybrids between the Mandelbox and Mandelbulb formulas. The method is to alternate n Mandelbox iterations with m Cube folding/Mandelbulb iterations.
Chaos : a new movie!
Posted on 2013-01-19 12:58
After "Dimensions" in 2008, our new film about chaos is now available for (free!) viewing on chaos-math.org. Have fun!
True 3D limit sets of Kleinian groups.
Posted on 2013-01-05 21:00
In this new gallery, there is a small collection of new images depicting true 3D limit sets of Kleinian groups. They were generated by three Moebius transformations with quaternion coefficients. See also this movie and this one
I have also published an article on the subject.
Newton's method for finding the roots of an equation creates fractals if the variable in the equation is a complex number. I found a way to show these fractals in 3D. See this new gallery.
Another tribute to Benoît Mandelbrot
Posted on 2010-11-09 12:55
I further improved my algorithm for 3d views of Mandelbrot and Julia sets. See this gallery.
A tribute to Benoît Mandelbrot.
Posted on 2010-10-24 16:52
Benoît Mandelbrot passed away on October 14, 2010.
He will be remembered in the first place for his contributions to science, but he also gave us the magnificent beauty of the Mandelbrot set. As a tribute, I have compiled a collection of images of the set in a 3D form. See this gallery.
Kaleidoscopic 3D IFS fractals
Posted on 2010-09-07 23:52
As a follow-up to the article, ("A fractal soccer ball"), about "kaleidoscopic 3D Iterated Function System fractals", I have now opened a new gallery with 32 images.
