Dodecahedral tesselation of the hypersphere A dissection of the 120 cell in twelve rings of 10 dodecahedra. Two sets of six rings form 2 solid interlocked tori. The film starts by showing the 600 cell, the dual of the 120 cell.
This is a non-profit site. Donations go toward large size prints of my work to help me set up an exhibition.
A 3D escape time algorithm for the limit sets of Kleinian groups
Posted on 2017-09-20 13:43
An extension into 3D of the method described in the article of the previous post produces images such as the ones in this new gallery.
An escape time algorithm for Kleinian group limit sets
Posted on 2017-02-20 18:33
Here is a new article on a fast algorithm for drawing certain Kleinian group limit sets.
Here is an example made in Shadertoy:
Posted on 2016-02-19 18:49
Here is a new page with a number of video's on the topic of topology..
Posted on 2013-12-05 13:27
A collection of virtual vases, created by inverse stereographic projection of different patterns on the spherical surface of the vase.
All the patterns where done in Ultrafractal, whereas the vases were created in Povray.
Posted on 2013-06-18 14:28
I have recently been making some short movies (with sound) and have collected them on this page.
Hybrid 3D fractals
Posted on 2013-03-14 23:22
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.
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.
I have also published an article on the subject.