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Author Topic: Imaginary powers  (Read 1117 times)
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Kali
Fractal Supremo
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Posts: 1138


« on: February 23, 2011, 04:24:05 AM »

Imaginary powers



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=5802

Ultrafractal - normal coloring - no post processing

Formula: z=z^(0,2)+c^(0,2)

Dedicated to DarkBeam  tease
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http://fractkali.deviantart.com/
Fractal Ken
Fractal Lover
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Posts: 246


Proud to be 2D


« Reply #1 on: February 23, 2011, 06:23:09 AM »

Beautiful work, Kali!

It's a funny coincidence that we posted similar fractals the same evening. (Thanks for your comment.)

I used the incredibly simple z = z^(0, -2) [plus the mandelbox's boxfold and ballfold transformations, but the basic shape is from the little complex recurrence relation].
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Kali
Fractal Supremo
*****
Posts: 1138


« Reply #2 on: February 23, 2011, 06:30:18 AM »

Thanks! and yes, awesome coincidence! I decided to do this after reading a post from DarkBeam saying that no fractal art is possible with complex powers, and that the images generated are "crap"  grin
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Fractal Ken
Fractal Lover
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Posts: 246


Proud to be 2D


« Reply #3 on: February 23, 2011, 07:18:34 AM »

Wow! I looked up that discussion. I see you and others have rightfully expressed your disagreement with DarkBeam's position.
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