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Inside DE on Standard MandyMandelbrot geneticsDLA style sample
Mandelbrot genetics
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Description: This is the Mandelbrot coloured based on the genetics of the individual orbits i.e. on each iteration the old value of z is tested to see if it was the value corresponding to the + or - square root when working backwards (+/-sqrt(z-c)) - this results in a (binary) genetic code of the form 01100111.... where each bit represents either a positive or negative root used on each iteration with the most significant bit being that from the first iteration.
The same method can be used for general formulas provided that a correct code for the backwards iteration can be found - of course ths depends on the roots, so z^3+c would have base 3 genetic codes, z^4+c base 4 etc.
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Filesize: 281.45kB
Height: 800 Width: 1000
Keywords: Mandelbrot genetic genetics fractal iteration 
Posted by: David Makin February 12, 2011, 05:06:49 PM

Rating: *** by 1 members.

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