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.
February 09, 2012, 04:37:36 PM
Saturn & Titan Introduction
Saturn&Titan
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