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Author Topic: Saturn & Titan 4.2.0 and Neptune & Triton 1.1.0  (Read 813 times)
Description: New software release
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element90
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« on: September 15, 2014, 04:00:42 PM »

Announcement http://element90.wordpress.com/?p=6156&preview=true
Download page http://element90.wordpress.com/software/downloads/
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cKleinhuis
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« Reply #1 on: September 15, 2014, 04:09:34 PM »

nice, but tell us, what is the difference between saturn/titan and neptune/triton huh?
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divide and conquer - iterate and rule - chaos is No random!
element90
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Posts: 298



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« Reply #2 on: September 15, 2014, 04:50:41 PM »

Neptune and Triton deal with multiple critical point fractals, it doesn't do julias as there are no critical points. Critical points are automatically determined and the pictures for each critical point are merged to produce a single image. Where inner areas overlap the inner and outer colours are averaged, or only the inner colours are averaged or only the outer colours are averaged. Outer regions are either averaged or the values for the highest iteration are used. Inner is where orbits reach the maximum number of iterations without escaping and outer is where an orbit escapes before the maximum number of iterations is reached.

Here's example hexic.



z = alpha*z^6 + beta*z^3 + c

alpha = 1 + 0i
beta = 1.6 + 0i

Critical points:
0 + 0i
0.464158883361277889 + 0.80394676876616969i
-0.928317766722555779 + 7.56410376901027259e-17i
0.464158883361277758 - 0.803946768766169766i

As can be seen images are layered, some critical points have Mandelbrot islands others cubic Mandelbrot islands.
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