Sculptures Ultrafractal and Povray working together.
The shape of Planet Earth Could the Earth have been flat after all?
How about cigar shaped? Or do you prefer pear shaped?
It seems it is all possible.
Just a question of enough spin..
Knots and dynamics A collaboration with Prof. Etienne Ghys of the Ecole Normale Supérieure de Lyon, containing material presented at the International Congress of Mathematicians (Madrid, August 2006)
Knots and dynamics animations. A collection of animations where one can see what a matrix looks like in four dimensions, how to make spaghetti using a 'horocycle', and more.. .
The Droste effect A collection of images and animations, made with a "Droste effect" image transformation.
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.
Featurecolumn at the American Mathematical Society
Posted on 2006-11-01 20:49
The American Mathematical Society this month publishes an article on their website entitled "Lorenz and modular flows: a visual introduction. A tangled tale linking lattices, knots, templates, and strange attractors . . .".
It was written by Prof. Ghys and myself and reflects the material that was presented during a plenary session at the International Congress of mathematicians in August of this year.
The article is loaded with images and animations. Read it at the AMS website's Featurecolumn page, or here.
Here is the AMS press release.
The shape of Planet Earth
Posted on 2006-10-31 18:46
Prof. Etienne Ghys gave a lecture last week on the historical mathematical approaches to defining the shape of the Earth. There is now a new page here that contains a summary of that lecture.
If you ever wondered what shape the Earth could take if it had more rotational energy, then here are the answers.. The shape could be flat, cigar shaped or even pear shaped!
Pages on 'Knots and Dynamics'.
Posted on 2006-08-23 18:05
There are two new pages in the 'Advanced geometry' galleries that stem from a collaboration with Prof. Etienne Ghys of the Ecole Normale Supérieure de Lyon.
Prof.Ghys held a plenary lecture at the International Congress of Mathematicians in Madrid (August 2006).The professor and myself designed the graphics for this lecture : I wrote custom algorithms in Ultrafractal to translate the math, supplied by the professor, into images and animations.
The lecture entitled "Knots and Dynamics" treats topics in fluid flow and knot theory. The graphics in these pages relate only to some aspects of these topics, as the subject matter is much broader. Some of the math used to produce these images is explained in this article.
Comments are appreciated: leave me a note in the 'About' section.
Jos Leys
New site design.
Posted on 2006-04-24 15:01
Thank you for visiting the all new and redesigned JosLeys.com.
Due to the recent surge in traffic we have moved to a new host. Our old provider didn't cut it any longer.
This was a good opportunity to bite the bullet and spend some time on finally redesigning the entire site. Many thanks to my son, Jan, for taking most of this work out of my hands.
As for the past couple of years, most of my work is in images with a general mathematical background, rather than just fractals, the name "Fractals by Jos Leys" was becoming a bit of a misnomer. Hence the new name "Mathematical Imagery", which better covers what you find on this site.
All feedback and comments on the new site design are welcome and appreciated. Leave me a message in the "About" section.
