Mathematical Imagery by Jos Leys

Kleinian groups

Where we enter the wonderful world first envisaged by Felix Klein. These pages where inspired by "Indra's Pearls" by David Mumford, Caroline Series and David Wright.

Galleries :

True 3D Kleinian groups
These limit sets of Kleinian groups were generated by three Moebius transformations with quaternion coefficients.
Added on 2013-01-05
3D Kleinian escape time
Images made with an escape time algorithm. All images were created in Ultrafractal.
Added on 2017-09-20
Animations of Kleinian group limit sets
19 animations..
Added on 2005-04-18
3D Kleinian groups Page 3
More 3D variations..
Added on 2004-05-01
3D Kleinian groups Page 2
More 3D views..
Added on 2003-12-12
3D Kleinian groups Page 1
The first 3D views of the limit sets of Kleinian groups.
Added on 2003-11-02
Ultrafractal and Povray working together.
Added on 2008-03-04
Floating Kleinian groups
Kleinian groups in an aquatic environment..
Added on 2004-05-17
Raytraced Kleinian groups
Added a raytracing algorithm..
Added on 2004-05-02
Raytraced Kleinian groups Page 2
More raytracings..
Added on 2004-06-02
Kleinian groups Page 5
A collection of diverse styles..
Added on 2004-11-12
Kleinian groups Page 4
Kleinian jewelry..
Added on 2003-11-02
Kleinian groups Page 3
The same algorithm, but with some more bells and whistles..
Added on 2003-08-02
Kleinian groups Page 2
More early work..
Added on 2003-07-02
Kleinian groups Page 1
These images where made with the first version of my algorithm.
Added on 2003-07-01

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Copyright 2024 Jos Leys