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.
A fractal soccer ball
Posted on 2010-06-21 12:45
A new article, "A fractal soccer ball", about "kaleidoscopic 3D IFS fractals", was published on the site of the CNRS.
Dimensions wins the Prix d'Alembert.
Posted on 2010-06-21 12:30
The film "Dimensions", that I made together with Etienne Ghys and Aurélien Alvarez, won the "Prix d'Alembert a bi-annual price given by the French Mathematical Society to the best projects in math vulgarization.
The Mandelbox
Posted on 2010-05-28 11:53
I wrote another article (again only in French, sorry!) about this special kind of 3D fractal.
There now is a small new gallery with some images on this subject..
More hyperbolics...
Posted on 2010-04-22 14:32
I wrote an article (only in French, sorry!) about transformations of tilings of the Poincaré disc.
There now is a small new gallery with some images on this subject.
All this is based on work by Vladimir Bulatov.
