Title: Sandstorms
Post by: Pauldelbrot on October 29, 2013, 12:54:57 AM
Sandstorms
(http://nocache-nocookies.digitalgott.com/gallery/15/511_29_10_13_12_54_57.jpeg)
http://www.fractalforums.com/index.php?action=gallery;sa=view;id=15064
A near-spacefilling Matchmaker Mandelbrot view. The region is in the no-stable-attractors Twilight Zone but is close to a high-period bud, hence the thick spirals.
(http://nocache-nocookies.digitalgott.com/gallery/15/511_29_10_13_12_54_57.jpeg)
http://www.fractalforums.com/index.php?action=gallery;sa=view;id=15064
A near-spacefilling Matchmaker Mandelbrot view. The region is in the no-stable-attractors Twilight Zone but is close to a high-period bud, hence the thick spirals.
Title: Re: Sandstorms
Post by: Nahee_Enterprises on October 30, 2013, 11:24:24 AM
Sandstorms
http://www.fractalforums.com/index.php?action=gallery;sa=view;id=15064 (http://www.fractalforums.com/index.php?action=gallery;sa=view;id=15064)
A near-spacefilling Matchmaker Mandelbrot view. The region is in the no-stable-attractors
Twilight Zone but is close to a high-period bud, hence the thick spirals.
http://www.fractalforums.com/index.php?action=gallery;sa=view;id=15064 (http://www.fractalforums.com/index.php?action=gallery;sa=view;id=15064)
A near-spacefilling Matchmaker Mandelbrot view. The region is in the no-stable-attractors
Twilight Zone but is close to a high-period bud, hence the thick spirals.
I still find those small areas, which appear similar to magnetic fields, a bit distracting within your images that contain them. :D
Title: Re: Sandstorms
Post by: Kalles Fraktaler on October 30, 2013, 12:58:17 PM
Very nice!
I don't know what Matchmaker is?
Is this the standard Mandelbrot set?
If so, would you mind reveal the location?
I don't know what Matchmaker is?
Is this the standard Mandelbrot set?
If so, would you mind reveal the location?
Title: Re: Sandstorms
Post by: Pauldelbrot on October 31, 2013, 03:24:33 AM
It's })
, a two-parameter system with two critical points each of which may have a stable attractor of any period. So any two attractors (and quadratic Julia basins) can be combined, hence "matchmaker", as well as one Julia basin and one "near-miss" (producing high-iteration regions that resemble a disconnected quadratic Julia set, combined with a connected quadratic Julia basin) or no stable attractors at all (producing spacefilling fractals).
Title: Re: Sandstorms
Post by: Kalles Fraktaler on November 01, 2013, 11:41:35 AM
It's <Quoted Image Removed>, a two-parameter system with two critical points each of which may have a stable attractor of any period. So any two attractors (and quadratic Julia basins) can be combined, hence "matchmaker", as well as one Julia basin and one "near-miss" (producing high-iteration regions that resemble a disconnected quadratic Julia set, combined with a connected quadratic Julia basin) or no stable attractors at all (producing spacefilling fractals).
Cool. Some mathematical genius should do a perturbation method of it ;)