Logo by bib - Contribute your own Logo!


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: Visit the official fractalforums.com Youtube Channel
Welcome, Guest. Please login or register. April 20, 2024, 03:17:29 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!


uf2390_hdSecond iterate to third iterate of the Mandelbrot setMandelbrot to iterated Mandelbrot
Second iterate to third iterate of the Mandelbrot set
Previous Image | Next Image
Description: This is an animation of the transition of the second iterate of the Mandelbrot set (M set) to its third iterate.

Points in the M set are either periodic of period n or chaotic. Periodic points may be attracting or repelling. Points in the boundary are always repelling. By iterating points in the M set by the map z->z^2+c we get their images under the map, which, in general, are not in the M set. However, the nth iterate of a periodic point of period n is in the M set. Because there are periodic points of all periods, the iterates of the entire M set never repeat, so there is an infinite chain or Mandelbrot cousin sets. Higher iterates seem to look more like the original.

This was done using Maple.
Total Favorities: 0 View Who Favorited
Filesize: 681.55kB
Height: 400 Width: 400
Discussion Topic: View Topic
Keywords: mandelbrot iterate morph chaotic periodic 
Posted by: Tater June 02, 2016, 10:01:21 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
Mandelbrot 3d

Rating: *****
Filesize: 617.99kB
Date: March 13, 2008, 11:18:05 AM
Comments (2)
By: cKleinhuis
Mandelbrot 3d

Rating: ****
Filesize: 54.41kB
Date: March 19, 2008, 02:13:34 PM
Comments (0)
By: cKleinhuis
3d mandelbrot

Rating: *****
Filesize: 814.3kB
Date: April 27, 2008, 09:16:43 PM
Comments (16)
By: lycium
Mandelbrot 3

Rating: **
Filesize: 490.05kB
Date: April 02, 2009, 07:02:13 PM
Comments (0)
By: Ilionstar
Mandelbrot to iterated Mandelbrot

Rating: ****
Filesize: 4MB
Date: June 02, 2016, 04:59:15 PM
Comments (0)
By: Tater

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 0.133 seconds with 31 queries. (Pretty URLs adds 0.004s, 1q)