pipelines to spherotron

fractal surreal phantasm
using the 4D time escape formula
rendered in 3D with fractal software mandelbulb 1.89

Thanks a lot (I mean a lot) to Syntopia for this formula.

This is a 4D extension of the 3D Sierpinski KIFS, with a built-in 4D rotation.
In fact if you try CScaleW=0 you get again the normal 3D Sierpinski solid!

"Source code"

float Sierpinski4(vec4 z)
{
float r;

int n = 0;
while (n < Iterations) {

    // This is the hyper-tetraedral folding
    if(z.x+z.y<0.0) z.xy = -z.yx;
    if(z.x+z.z<0.0) z.xz = -z.zx;
    if(z.y+z.z<0.0) z.zy = -z.yz;
    if(z.x+z.w<0.0) z.xw = -z.wx;
    if(z.y+z.w<0.0) z.yw = -z.wy;
    if(z.z+z.w<0.0) z.zw = -z.wz;
    Rotate4D (z,Angles4D); // <- placed by me to make it a "true" KIFS
    
    z = z*Scale - Offset4*(Scale-1.0);      
    n++;}

return (length(z) ) * pow(Scale, -float(n));}