Re: Unit fractions...

On 8/28/2024 6:09 PM, Chris M. Thomasson wrote:

On 8/28/2024 6:02 PM, Chris M. Thomasson wrote:

Just a little plot I did for Moebius and WM using unit fractions on any line in n-ary space. 3d here...
>
https://i.ibb.co/9n71tZf/ct-pov.png
>
https://i.ibb.co/0hXnPpf/ct-pov.png
>

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void
ct_unit_fractions(
     ct::pov::pov_file& scene,
     vector_field& field,
     glm::vec3 p0,
     glm::vec3 p1,
     unsigned long n
) {
     glm::vec3 pdif = p1 - p0;
     glm::vec3 pperp = { pdif.y, pdif.x, pdif.z };

It still works with:
glm::vec3 pperp = { -pdif.y, pdif.x, pdif.z };
;^)

      scene.dump_cylinder(p0, p1, .01, { 1, 0, 0 });
      for (unsigned long i = 1; i < n + 1; ++i)
     {
         float normal = 1.f / i;
          glm::vec3 c0 = p0 + pdif * normal;
         glm::vec3 c0_perp0 = c0 + pperp * normal;
         glm::vec3 c0_perp1 = c0 - pperp * normal;
          scene.dump_sphere(c0, .02, { normal, 1 - normal, 1 });
         scene.dump_cylinder(c0, c0_perp0, .01, { 1, 1, 0 });
         scene.dump_cylinder(c0, c0_perp1, .01, { 1, 0, 1 });
     }
}
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