Fractal + Change of domain mashup

[SCORPION]

This option turned out to Mandelbulb:

Code:

uniform vec3 InvertC; slider[(-5,-5,-5),(0,0,0),(5,5,5)]

vec3 domainMap(vec3 c)
{
  float s = dot(c,c);
  return c=s * InvertC;
}

Code:

  if (i<ColorIterations) orbitTrap = min(orbitTrap, abs(vec4(domainMap(pos),r*r)));

[Roquen]

It's probably worth pointing out that if you're using some change of domain function for something other than geometry then it opens up a wider class of functions since you no longer need them to be locally continuous.  In fact those that are not can be pretty interesting since you can get "strata/banding" and reaction-diffusion (to name a couple) like effects in (as in the previous example) it's being used as a coloring function.

[Roquen]

Logistic's map

Code:

vec2 domainMap(vec2 c)
{
  //c = 0.5*c;             // only effects resulting scale
  c = zpow2(c) - c;      // give the domain two zeros
  c   +=K ;
  return c;
}

http://glslsandbox.com/e#19502.1

[3dickulus]

just noticed the new post (better late than never)
when I get some time to play with GLSL I will be exploring the effect in 3D

ty Roquen, for another little toy/tool 

[3dickulus]

modified for 3D, frag attached...