Title: Mandelbrot Foam IIc Post by: Pauldelbrot on January 19, 2013, 04:32:15 PM Mandelbrot Foam IIc
(http://nocache-nocookies.digitalgott.com/gallery/13/511_19_01_13_4_32_14.jpeg) http://www.fractalforums.com/index.php?action=gallery;sa=view;id=13213 The Mandelbrot Foam has minibrots, but without an obvious "critical point" to iterate, getting them to show up isn't easy. But areas can be found where there are minibrot dynamics, and these show up in parameter space slice images as "asteroid fields" with chunks of trapped points shaped something like connected, filled-in Julia sets. Sometimes there's a big rock and surrounding little ones, connected by dendritic structures; sometimes just little rocks. In this instance, which shares the same parameters and slice location (but not zoom rect) as IIa and IIb, there's a big one. Title: Re: Mandelbrot Foam IIc Post by: fractalchemist on January 19, 2013, 08:04:11 PM I already found some, but I was not sure if they were really mini's! Gonna look for more....yoiur formula has me very occupied...could spend years there :joy:
Eveline Title: Re: Mandelbrot Foam IIc Post by: Pauldelbrot on January 19, 2013, 08:19:30 PM I've found a few more. Stay tuned.
Title: Re: Mandelbrot Foam IIc Post by: zonepatcher on January 20, 2013, 09:44:25 PM wow....thanks fer da info...
something to look into Title: Re: Mandelbrot Foam IIc Post by: Pauldelbrot on January 21, 2013, 11:11:57 PM Thanks, both of you. :) |