Daniel White, “Mandelbulb 3D”, 2009

Daniel White, 2009

The first truly 3D fractal by Daniel White.

“double pi=3.14159265;
double r    = sqrt(x*x + y*y + z*z );
double yang = atan2(sqrt(x*x + y*y) , z  )  ;
double zang = atan2(y , x);
newx = (r*r) * sin( yang*2 + 0.5*pi ) * cos(zang*2 +pi);
newy = (r*r) * sin( yang*2 + 0.5*pi ) * sin(zang*2 +pi);
newz = (r*r) * cos( yang*2 + 0.5*pi );”

 

Mandelbulb 2009, Power8side-cut-green

Another view of the whole fractal, and below some details. Note as with all fractals, zooming in creates more complexity. But unlike the intricate 2d patterns of classic Fractal zooms, Mandelbulb 3d reveals some surprising 3 dimensional spaces.

0007_Daniel White_Mandelbulb_2009_Power8side-cut-green-small_w

 0007_Daniel White_Mandelbulb_2009_MysteryCave-b-med

Even some of Daniel White’s in-progress work yeilded remarkable results

 Mandelbulb 3d, v1

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