Fractals/Mathematics/group/Kleinian group

Kleinian group[1]


  • escape time by Jos Leys[2], FF discussion
  • "drawn up by a multiplication of two by two matrices representing Moebius transformation" [3]


relation between kleinian group and fractalsEdit

  • "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."[12]
  • Schottky group [13][14]




  1. Kleinian group in wikipedia
  2. A fast algorithm for limit sets of Kleinian groups with the Maskit parametrisation. Jos Leys January 2017
  3. hiddendimension : KleinianGroup_Fractals
  5. openprocessing code
  6. GLUT Kleinian group visualizer by Danny Calegari
  7. kleinian, a tool for visualizing Kleinian groups Posted on March 4, 2014 by Danny Calegari
  8. kleinian by D Wright
  9. FRactal forum : Kleinian groups - an immense collection with sources!
  10. Programs by Curtis McMullen
  11. Kleinian and Quasi-Fuchsian Limit Sets: An Open Source Toolbox Genotype: 1.1.45 by Chris King
  12. mathoverflow question: why-are-fuchsian-groups-interesting
  13. The Fractal Nature of Schottky Groups John Conley May 31, 2013
  14. A New Algorithm for Rendering Kissing Schottky Groups by Kento Nakamura, and Kazushi Ahara
  15. Jos Leys kleinian galleries