Logo by AGUS - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Did you know ? you can use LaTex inside Postings on fractalforums.com!
 
*
Welcome, Guest. Please login or register. August 06, 2020, 06:59:51 PM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!



 
  Search  

  Slideshow  
Circle Orbit TrapSchottky GroupRuby Necklace
Schottky Group
Previous Image | Next Image
Description: A Schottky group is based on a pair of Mobius transformations (called generators) and their inverses. The Schottky group is composed of all possible ordered sets of these transformations (of any length). Each element in the group represents a composite transformation formed by applying the individual transformations in the set in the given order. Each of the generators is associated with a pair of circles called Schottky disks. The disks and their images under all the transformations in the group are rendered to form the fractal.

Schottky groups and the algorithms used to display them are described in great detail in the book "Indra's Pearls, The Vision of Felix Klein" by David Mumford, Caroline Series, David Wright.

This image was generated by the Fractal Science Kit fractal generator using the built-in Schottky Group Orbit Trap.

Note that an additional non-linear transformation was applied to the fractal to form the final image.

For additional information about Schottky groups see:
  - http://klein.math.okstate.edu/IndrasPearls/

For additional information about the Fractal Science Kit fractal generator see:
  - http://www.fractalsciencekit.com/index.htm


Stats:
Total Favorities: 0 View Who Favorited
Filesize: 186.42kB
Height: 600 Width: 800
Keywords: Fractal Science Kit Schottky Group 
Posted by: Ross Hilbert February 13, 2009, 03:50:20 PM

Rating: Has not been rated yet.

Image Linking Codes
BB Code
Direct Link
Html Link
0 Members and 1 Guest are viewing this picture.
Related Images
Kleinian Group


Rating: *****
Filesize: 37.25kB
Date: July 01, 2008, 01:34:13 AM
Comments (0)
By: Ross Hilbert
Schottky's World


Rating: (None)
Filesize: 368.28kB
Date: June 06, 2009, 05:53:18 PM
Comments (0)
By: Ross Hilbert
cusp group


Rating: *****
Filesize: 163.16kB
Date: January 11, 2011, 03:10:25 PM
Comments (1)
By: Guest
Kleinian Group 112.10302


Rating: *****
Filesize: 253.31kB
Date: December 28, 2016, 03:49:00 AM
Comments (0)
By: trafassel
Winter Kleinian Group


Rating: *****
Filesize: 319.39kB
Date: January 10, 2017, 09:39:31 PM
Comments (4)
By: JoeFRAQ
  Slideshow  

Comments (0) rss

Return to Gallery

Powered by SMF Gallery Pro

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.16 seconds with 31 queries. (Pretty URLs adds 0.005s, 1q)