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| Description: In the "new-theories-and-research/is-there-anything-novel..." thread, post 112 (among other things fractal and not) asserts math itself as art. As fractalists, the essence of what we do is to gravitate toward the simplest formula yielding the most complicated results under iteration. While the entire thread details the evolution of its family, post 23 offers some details specific to the degree 8 function that produced this picture in particular. In this version a change of sign reverses its orientation from the original renderings, however. This function: f(z)-> ((((((z^2)c)-1)^2)-1)^2)-1. It combines 3 multibrot power shapes (M8,4&2) in the same plane, something popularly assumed to be impossible until recent times, it seems. Thanx again to those interested, for their interest and kindness... Only very recently informed of defect in above formula now fixed as of 1-17-12. Sorry for the confusion, at long last. Stats: Total Favorities: 0 View Who Favorited Filesize: 39.94kB Height: 768 Width: 1024 Keywords: multiple multibrot degree generalizations Posted by: fracmonk  April 29, 2011, 07:36:25 PMRating:  by 4 members.Image Linking Codes
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Comments (3)  |
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cKleinhuis
Administrator Fractal Senior  Posts: 7044 formerly known as 'Trifox' 
| January 26, 2012, 04:18:04 PM AS BANNER ?!?!? I MOVE IT! |
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tit_toinou
Iterator  Posts: 192
| January 14, 2012, 01:03:40 PM I am sorry but " f(z)-> (((((z^2)-1)^2)-1)^2)-1" does not describe an iteration for a mandelbrot-like fractal. What is the real formulae you used ? Thanks. |
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BooleannAngel
Forums Newbie  Posts: 0
| May 19, 2011, 07:35:47 PM Beautiful in its simplicity. Less is more! Love the soft lilac color as well. Good luck!  |
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