Logo by Tglad - 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: Visit us on facebook
 
*
Welcome, Guest. Please login or register. February 20, 2019, 09:25:46 AM


Login with username, password and session length


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


Pages: [1]   Go Down
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: Julia Set Animation by boundary walking Mandelbrot  (Read 1579 times)
0 Members and 1 Guest are viewing this topic.
asimes
Fractal Lover
**
Posts: 212



asimes
WWW
« on: February 28, 2012, 09:33:17 AM »

I found an old post about walking through the Julia Set. Because the post was pretty old I figured I'd start a new one but the old one is here: http://www.fractalforums.com/general-discussion-b77/how-would-you-define-a-path-along-mandelbrot-border/msg43113/

Here was my method:

- Find all points that are part of the Mandelbrot Set
- Find all points that touch the Mandelbrot Set that are not inside of it (I'll call this Boundary Set)
- Organize the Boundary Set by theta and store the associated real and imaginary points in that order
- Run the Julia Set in a loop through the organized points

It doesn't quite work as well as I would like. It is pretty close but it looks glitchy because organization by theta is not quite accurate enough. Here's the result so far: http://alexsimes.com/Julia_Test/index.html
Logged
asimes
Fractal Lover
**
Posts: 212



asimes
WWW
« Reply #1 on: February 28, 2012, 10:09:22 AM »

I can't seem to get stable looking results with high iterations of the Mandelbrot Set. If I set the max iterations to something small then the resulting Julia Set animation is very smooth but also boring because it misses the complicated Julia Sets.

Any thoughts on how to index the points on the boundary of the Mandelbrot Set? I have the points, the problem with theta sorting seems to be that the Mandelbrot spikes / branches that go perpendicular cause incorrect sorting.
Logged
eiffie
Guest
« Reply #2 on: February 28, 2012, 05:09:50 PM »

Actually the path finding method described early in the other post worked well but I still had the problem of "flashing" julias as you describe. It doesn't matter how accurately you define the border as it is fractal and "rough" at all scales. When you combine the julias with an image of the mandelbrot showing the start position on the border you see interesting relationships between the two. It was an education. Good luck!
Logged
Pages: [1]   Go Down
  Print  
 
Jump to:  


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 0.286 seconds with 27 queries. (Pretty URLs adds 0.011s, 2q)