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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. Stats: Total Favorities: 0 View Who Favorited 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. Image Linking Codes
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