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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.
The Mandelbulb fractal and more...Posted on 2009-12-05 18:28
|Just as I got interested in the techniques for creating fractals in 3D, there was a community of enthusiasts who collaborated through the internet in the search for a 3D version of the Mandelbrot fractal.|
The result is not quite the holy grail they were looking for, but the object they named the Mandelbulb is quite fascinating.
So here are two new galleries : my collection of general 3D fractals and Mandelbulbs.
As usual, all the images were created in Ultrafractal.
To know more about the Mandelbulb, read this article (in French) or this version (in Italian).
A film on refraction in waterPosted on 2009-09-17 20:27
|I just finished a film together with Xavier Caruso, a mathematician working for the French center for scientific research on the effects of refraction in water.
The commentary of the film is in French, no other languages available so far.|
Something completely differentPosted on 2009-01-28 19:06
|Xantox encouraged and helped me to create a visualisation of a canon by Johann Sebastian Bach. This is one of the many ingenious pieces by Bach: this one sounds just as good played from start to end, played from end to start, or played start to end and end to start simultaneously. Here it is.|
The hyperbolic chamberPosted on 2009-01-05 00:10
|This is an article about hyperbolic geometry. Even if you don't like math, you might want to look at the pictures.|
Try this for instance.
I also updated my article on the Droste effect.
Hyperbolic EscherPosted on 2008-08-15 00:08
|M.C. Escher only made four "Circle limit" drawings. These are tilings in hyperbolic geometry.|
I now have a small gallery of 20 more of these: plain tilings in Euclidian geometry by M.C.Escher, transformed into the hyperbolic variety.
Dimensions: a math film.Posted on 2008-06-19 11:13
|We finally, after 18 monts of work, were able to release "Dimensions", two hours of mathematical animation. 'We' means myself, Etienne Ghys and Aurélien Alvarez, both from the Ecole Normale Supérieure in Lyon.|
Go to the Dimensions website to read all about it. From this website you can either order the DVD (only 10 €!), or download the entire film for free!
The website is available in French, English and Dutch. The film is available in even more languages!
New gallery addedPosted on 2008-03-04 14:30
|I have added a new gallery, the first in quite a long time.During the past year I have been working on a two-hour animation film, which will be announced here soon.|
This gallery is an experiment in using data generated in Ultrafractal as input to Povray. Calculations in Ultrafactal are exremely fast, but the raytracing possibilities are limited. Povray, on the other hand calculates very slowly, but has unlimited and fast raytracing. Combining the strong points of the two seemed the obvious thing to try out.
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