Title: It's Full of Stars Post by: Pauldelbrot on October 08, 2013, 12:33:07 PM It's Full of Stars
(http://nocache-nocookies.digitalgott.com/gallery/14/511_08_10_13_12_33_04.jpeg) http://www.fractalforums.com/index.php?action=gallery;sa=view;id=14962 Matchmaker Mandelbrot, showing a zone of parameters with (modulo minibrots -- there are at least 3 tiny ones discernible in this image) no stable attractors (whole-Riemann-sphere Julia sets). My m4d sk1llz with coloring enable making the hidden structure of the region visible as (almost) spacefilling detail -- the minibrots have the usual symmetry doublings around them, so the structures here are the same as in any Mandelbrot image, except that there is no "outside" so the filaments crowd together to occupy every speck of space not in a minibrot interior. Title: Re: It's Full of Stars Post by: Nahee_Enterprises on October 08, 2013, 05:11:03 PM It's Full of Stars http://www.fractalforums.com/index.php?action=gallery;sa=view;id=14962 Matchmaker Mandelbrot, showing a zone of parameters with (modulo minibrots -- there are at least 3 tiny ones discernible in this image) no stable attractors (whole-Riemann-sphere Julia sets). My m4d sk1llz with coloring enable making the hidden structure of the region visible as (almost) spacefilling detail -- the minibrots have the usual symmetry doublings around them, so the structures here are the same as in any Mandelbrot image, except that there is no "outside" so the filaments crowd together to occupy every speck of space not in a minibrot interior. Too bad the dimensions of this were not in the precise ratio of 1 : 4 : 9 (the squares of the first three integers). :D Title: Re: It's Full of Stars Post by: Pauldelbrot on October 09, 2013, 05:45:59 PM Since it's only two dimensional, that would have been difficult.
But it is 16:9. ;) Title: Re: It's Full of Stars Post by: Nahee_Enterprises on October 09, 2013, 08:13:26 PM Too bad the dimensions of this were not in the precise ratio of 1 : 4 : 9 (the squares of the first three integers). :D Since it's only two dimensional, that would have been difficult. But it is 16:9. ;) Not sure how many people will understand why I said the above, and how it relates to the "title" of your Topic and image. Title: Re: It's Full of Stars Post by: hobold on October 09, 2013, 11:17:00 PM Not sure how many people will understand why I said the above "Oh my God."(BTW, beautiful image.) Title: Re: It's Full of Stars Post by: Pauldelbrot on October 11, 2013, 11:51:52 AM Thanks! |