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Fractals/Mathematics/group/Kleinian group
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
Kleinian groupKleinian group in wikipedia
algorithms
escape time by Jos LeysA fast algorithm for limit sets of Kleinian groups with the Maskit parametrisation. Jos Leys January 2017, FF discussion
"drawn up by a multiplication of two by two matrices representing Moebius transformation" hiddendimension : KleinianGroup_Fractals
inverse algorithm fractalforums.org : kleinian-adventures-three-generator-maskit
Drawing limit sets of Kleinian groups using finite state automata by Greg McShane, John R. Parker, Ian Redfern
Kleinian circle packings by John R. Parker
An index-based revisitation by Alessandro Rosa
Programs
Spirofractalhttp://www.alunw.freeuk.com/fractalgallery.htmlopenprocessing code
xenodream - Unique 3D graphics software gives you results that would be difficult or impossible using other tools, and more fun doing it.
kleinian by Danny CalegariGLUT Kleinian group visualizer by Danny Calegari kleinian, a tool for visualizing Kleinian groups Posted on March 4, 2014 by Danny Calegari
Kleinian Groups Programs: Indra Version by D Wright kleinian by D Wright FRactal forum : Kleinian groups - an immense collection with sources!
lim by Curtis McMullenPrograms by Curtis McMullen
Kleinian and Quasi-Fuchsian Limit Sets: An Open Source Toolbox Genotype: 1.1.45 by Chris KingKleinian and Quasi-Fuchsian Limit Sets: An Open Source Toolbox Genotype: 1.1.45 by Chris King
Arnaud Cheritat
Universal cover of Klein's quartic. and the code
shadertoy :
kleinian
soma-arc
soma-arc : SchottkyLink
A New Algorithm for Rendering Kissing Schottky Groups by Kento Nakamura, and Kazushi Ahara
KleinianWalkerWeb
webgl
Universal cover of Klein's quartic. CC-BY-SA Arnaud Chéritat
aplets by A.N.Anderson
CindyJS
Circles by Alessandro Rosa
maple
Yousi Daniel Hue
JS
Draw the limit set of a group of Möbius transformations by Tim Hutton
relation between kleinian group and fractals
"for Fuchsian groups of the first kind, the limit set has Hausdorff dimension 1, i.e., it is not fractal.
... for all other quasifuchsian groups of the first kind, the limit set has Hausdorff dimension strictly bigger than 1, by a theorem of Rufus Bowen."mathoverflow question: why-are-fuchsian-groups-interesting
Schottky group The Fractal Nature of Schottky Groups John Conley May 31, 2013A New Algorithm for Rendering Kissing Schottky Groups by Kento Nakamura, and Kazushi Ahara
Video
vimeo album Non-Euclidean Tessellations Tessellations of Kleinian Groups.
Indra's Pearls fractal animation by FreymanArt
Indra's Pearls: A Mathematical Adventure
youtube search kleinian
An overview on complex Kleinian groups (Angel Cano)
Schottky Link - Introduction by soma
KleinianWalker - Introduction by soma
images
by Jos LaysJos Leys kleinian galleries
by Curtis McMullen
True 3d kleinians can be produced with surfbox by pupukuusikko
Kleinian and Quasi-Fuchsian Limit Sets: An Open Source Toolbox Genotype: 1.1.32 by Chris King
Generation of Limit Sets of Kleinian Groups Using a Feedback Loop Approach - java screipt
David Dumas
SL(View) 0.4 by David Dumas
References
Klein's Web Pages
Indra's Pearls Web Site
Non-Euclidean geometry and Indra's pearls By Caroline Series and David Wright
FF
The Farey-Ford tessellation and circle packing
Chapter : Klienian goups in book Geometry and topology of three-manifolds By William Thurston
The Group Properties Wiki
wiki
algorithms by A N Anderson
Interaktive Materialien zum Buch Indra's Pearls by StefanLembach - 12 May 2010
COMPLEX KLEINIAN GROUPS by Angel Cano , Juan-Pablo Navarrete, Jos´e Seade
FF : kleinian-adventures-three-generator-maskit by xenodreambuie
CREATING SOFTWARE FOR VISUALIZING KLEINIAN GROUPS by Yasushi Yamashita, in Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore: Volume 23
Geometry, Topology and Dynamics of Character Varieties https://doi.org/10.1142/8445 | August 2012
fractalforums.org : help-with-indras-pearls-by-david-mumford-caroline-series-and-david-wright