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Title: Exponential Mandelbrot Set
Post by: laser blaster on October 01, 2014, 10:39:26 AM
Exponential Mandelbrot Set

(http://nocache-nocookies.digitalgott.com/gallery/16/8614_01_10_14_10_39_25.jpeg)

http://www.fractalforums.com/index.php?action=gallery;sa=view;id=16658

Mandelbrot set for e^x * c.


Title: Re: Exponential Mandelbrot Set
Post by: Dinkydau on October 01, 2014, 10:52:45 PM
Nice, that's something I haven't seen before. Is that x_n+1 = e^x_n * c ?


Title: Re: Exponential Mandelbrot Set
Post by: laser blaster on October 02, 2014, 12:25:47 AM
Yes it is. :) Of course I meant to say z instead of x.
Interestingly , the winding paths give the appearance of being multiply connected. Of course these paths are composed of both interior and escaping regions, so obviously the set itself is not. Looks like it would make for an interesting and very confusing maze.