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Description: Here is another hybrid I am working on that mixes Julia and Mandelbrot sets. The result looks really strange to me. If you look closely, there are other mini-brots in here, far away from the main set in the middle. This is zoomed out pretty far ar radius 10. No msets should be out this damn far!  :^o

The code waits for a point to escape then applies one of the jp sets, and reties the iteration this way for 16 times. Then, after that points are finally allowed to escape. Here is the algorithm:
______________________________
int g = 0;

ct_complex jp[2] = {
    { .04, .07 },
    { -.04, -.07 }
};

// iteration
z = z*z + c

if (z.real() * z.real() + z.imag() * z.imag() > 256)
{
    if (g < 16)
    {
        z *= (i % 2) ? jp[1] : jp[0];
        ++g;
        continue;
    }

    // we really escaped this time...
    // color
    return;
}
______________________________

https://plus.google.com/101799841244447089430/posts/BAkxLRM7iPn

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Keywords: fractal hybrid mandelbrot julia alternating space math art 
Posted by: Chris Thomasson May 15, 2017, 10:39:15 PM

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