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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: The splendor of true
Date: Mon, 10 Mar 2025 17:48:21 -0700
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On 3/10/2025 4:09 PM, Richard Hachel wrote:
> Le 10/03/2025 à 22:21, "Chris M. Thomasson" a écrit :
>> On 3/8/2025 3:54 PM, Richard Hachel wrote:
> 
> 
> <http://nemoweb.net/jntp?gpYr5eUNsnuIlHzO4tsg1kWypUg@jntp/Data.Media:1>
> 
> What is this?

This is from a Mulia of mine that uses two split complex number 
iterations before it iterates using a traditional Mandelbrot set using 
good ol' complex numbers. Here is my per point iteration function:
________________________
void
iterate_complex_split_point(
     ct::plot::cairo::plot_2d& scene,
     glm::vec2 p0,
     unsigned long x,
     unsigned long y,
     unsigned long n
) {
     glm::vec2 z = p0;
     glm::vec2 c = z;
     //c = { -.75, 0 }; // Julia mode...

     float mindis = 9999999.f;

     z = ct_complex_split_mul(z, z) + c;
     z = ct_complex_split_mul(z, z) + c;

     for (unsigned long i = 0; i < n; ++i)
     {
         z = ct_complex_mul(z, z) + c;

         float zdis = glm::length(z);

         mindis = glm::min(mindis, zdis);

         if (zdis > 2.f)
         {
             return;
         }
     }

     scene.set_pixel(x, y, CT_RGBF(mindis * 10.f, 0, 0));
}
________________________