Mandelbrot
Mandelbrot Fractals...
Just trying to create fractal noise in Houdini using VEX.
Here is some code...
r = sqrt(x*x + y*y + z*z )
theta = atan2(sqrt(x*x + y*y) , z) + phase
phi = atan2(y,x)
newx = r^n * sin(theta*n) * cos(phi*n)
newy = r^n * sin(theta*n) * sin(phi*n)
newz = r^n * cos(theta*n)
Here is some code...
r = sqrt(x*x + y*y + z*z )
theta = atan2(sqrt(x*x + y*y) , z) + phase
phi = atan2(y,x)
newx = r^n * sin(theta*n) * cos(phi*n)
newy = r^n * sin(theta*n) * sin(phi*n)
newz = r^n * cos(theta*n)
where n is the order of the 3D Mandelbulb. for animation I adding a phase shift to theta.
Resource on Mandelbulb Fractals:
https://www.skytopia.com/project/fractal/2mandelbulb.html
http://www.fractalforums.com/videos/3d-mandelbrot-set-phase-shift-animations/
http://www.fractalforums.com/videos/3d-mandelbrot-set-phase-shift-animations/
