Sierpinski4 by El Geko

the beauty of fractal math Sierpinski KIFS, with a built-in 4D rotation. KIFS stands for kaleidoscopic iterated function system based on the Sierpinski Triangle

float Sierpinski4 { float r; int n = 0; while (n < Iterations) { // 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); // z = zScale - Offset4(Scale-1.0); n++ } return (length(z) ) * pow(Scale, -float(n)); } formula originally written by Syntopia and refined for mandelbulb renderer by Luca_GN2011 big shoutout to fractal forum team, who inspired and supported creatives around the world for decades! format gif 1440x1080