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Fractal Software => Saturn&Titan Gallery => Topic started by: element90 on February 21, 2014, 12:01:50 PM




Title: Exiled Mandelbrot No. 40
Post by: element90 on February 21, 2014, 12:01:50 PM
(https://copy.com/1E2En1job63a)
https://copy.com/1E2En1job63a (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



Title: Re: Exiled Mandelbrot No. 40
Post by: matsoljare on February 21, 2014, 06:14:30 PM
What does the full set look like?


Title: Re: Exiled Mandelbrot No. 40
Post by: element90 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

(http://i895.photobucket.com/albums/ac155/Thorium232/z11200x800_zpsd7f6365d.png)

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

(http://i895.photobucket.com/albums/ac155/Thorium232/z21200x800_zps55a1bfa5.png)

The full set for critical point 0 + 0i is

(http://i895.photobucket.com/albums/ac155/Thorium232/z31200x800_zpse1b6a1e7.png)

And the set for all critical points combined is

(http://i895.photobucket.com/albums/ac155/Thorium232/nt20140223011200x800_zps01ab1e44.png)