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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