Logo by Fiery - 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. March 29, 2024, 02:29:00 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!


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: Exiled Mandelbrot No. 40  (Read 718 times)
Description: A Mandelbrot not in the standard set.
0 Members and 1 Guest are viewing this topic.
element90
Strange Attractor
***
Posts: 298



WWW
« on: February 21, 2014, 12:01:50 PM »


https://copy.com/1E2En1job63a

This, clearly, is not in the standard Mandelbrot set as this one isn't a connected set.

z = z^4 + z^3 + z^2 + c

critical point  -0.4 - 0.663324958071079969822986i

« Last Edit: May 21, 2014, 11:32:03 AM by element90 » Logged

Elelemt90 Fractals blog www.element90.wordpress.com
matsoljare
Fractal Lover
**
Posts: 215



WWW
« Reply #1 on: February 21, 2014, 06:14:30 PM »

What does the full set look like?
Logged
element90
Strange Attractor
***
Posts: 298



WWW
« Reply #2 on: February 24, 2014, 01:14:53 PM »

Quote
What does the full set look like?

Slight mistake the formula is wrong, it should be:

z = z^5 + z^4 + z^3 + c

The full set for critical point  -0.4 - 0.663324958071079969822986i is



There are two more critical points, The full set for critical point  -0.4 + 0.663324958071079969822986i is



The full set for critical point 0 + 0i is



And the set for all critical points combined is

Logged

Elelemt90 Fractals blog www.element90.wordpress.com
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 0.247 seconds with 27 queries. (Pretty URLs adds 0.012s, 2q)