Message Boards Message Boards

0
|
3397 Views
|
2 Replies
|
0 Total Likes
View groups...
Share
Share this post:

Check for containment inside a Julia set?

Agelos Georgakopoulos
Posted 4 years ago

I need a function that given a point p in the plane as argument, returns True whenever p lies in the interior of some Julia set, let's say the Siegel Disk (http://mathworld.wolfram.com/SiegelDiskFractal.html). Could anyone provide some Mathematica code?
POSTED BY: Agelos Georgakopoulos
2 Replies
Sort By:

Have you looked at JuliaSetIterationCount? I am not an expert in this area but I believe that, with the default options, if the function returns 1001 that means the point appears to be in the Julia set or that, at least after 1000 iterations, it could not be determined that the point was not in the Julia set.
POSTED BY: Seth Chandler

I guess this would check containment in the Julia set itself, but I would like to check containment in a filled Julia set, i.e. a Julia set and its interior.

POSTED BY: Agelos Georgakopoulos
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Tag limit exceeded
Note: Only the first five people you tag will receive an email notification; the other tagged names will appear as links to their profiles.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract