# Fractal Art Experiment Using VEX Code:

August 6, 2017

My first attempt at recreating Entagma's Mandelbulb and Mandelbrot Fractal design (https://vimeo.com/176911687).

After spending sometime studying Python and C++, I was finally able to wrap my head around VEX and attempt a few more complex tutorials. Entagma's VEX tutorials have always been great to understand better applications of Coding in Houdini and this was a good oppurtunity to understand the Volume Wrangle as well.

I am writing the code for anyone who would like to take a look at it and probably add few more twist and takes on it.

//--- function ---

function int Mandel(float x0, y0, z0; int imax)
{
float x = 0, y = 0, z = 0, xnew = 0, ynew = 0, znew = 0, n = ch("n"), r = 0, theta = 0, phi = 0;

for(int i = 0 ; i < imax; i++)
{
//xnew = x*x - y*y + x0;
//ynew = 2*x*y + y0;

r = sqrt(x*x + y*y+ z*z);
theta = atan2(sqrt(x*x + y*y), z);
phi = atan2(y,x);

xnew = pow(r, n) * sin(theta*n) * cos(phi*n) + x0;
ynew = pow(r, n) * sin(theta*n) * sin(phi*n) + y0;
znew = pow(r,n) * cos(theta*n) + z0;

if(xnew*xnew + ynew*ynew + znew*znew > 8)
{
return(i);
}
x = xnew;
y = ynew;
z = znew;

}
return(imax);
}

//---main---
int maxiter = chi("maxiter");

if(Mandel(@P.x, @P.y,@P.z,maxiter) < maxiter)
{
@density = 0.0;
}
else
{
@density = 1.0;
}

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