Mathematical imagery by Jos Leys.

Mandelbox

Fri, 28 May 2010 19:29:52 +0100

I wrote an article about this special kind of 3D fractal. There now is a small new gallery with some images on this subject.

More hyperbolics...

Wed, 21 Apr 2010 19:29:52 +0100

I wrote an article 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...

Sat, 05 Dec 2009 19:29:52 +0100

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.

A film on refraction in water.

Wed, 16 Sep 2009 19:29:52 +0100

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 different...

Wed, 28 Jan 2009 19:29:52 +0100

Xantox ( http://www.strangepaths.com) 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.

Article : The Hyperbolic Chamber

Sun, 04 Jan 2009 23:29:52 +0100

"The hyperbolic chamber" is an article that shows some of the basic math about hyperbolic geometry, and shows how this could be presented in a science museum.

Article : The Droste Effect

Sun, 04 Jan 2009 23:29:52 +0100

"A logarithmic image transformation", an article describing the Droste effect has been updated.

Gallery : Hyperbolic Escher

Fri, 15 Aug 2008 20:37:52 +0100

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

Thu, 19 Jun 2008 20:38:20 +0100

We finally, after 18 months 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 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, Arabic, Spanish, Portuguese and Dutch. The film is available in even more languages!

Gallery : Sculptures

Tue, 17 Jun 2008 20:28:19 +0100

I have added a new gallery, the first in quite a long time.This gallery is an experiment in using data generated in Ultrafractal as input to Povray. Calculations in Ultrafactal are extremely 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.