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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.

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Filesize: 39.94kB
Height: 768 Width: 1024
Keywords: multiple multibrot degree generalizations 
Posted by: fracmonk April 29, 2011, 07:36:25 PM

Rating: ** by 4 members.

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Comments (3) rss
cKleinhuis
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formerly known as 'Trifox'


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January 26, 2012, 04:18:04 PM
AS BANNER ?!?!? I MOVE IT!
tit_toinou
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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.
BooleannAngel
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May 19, 2011, 07:35:47 PM
Beautiful in its simplicity.  Less is more!
Love the soft lilac color as well.
Good luck! cheesy

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