Astroidal Ellipsoid

This surface goes in where the ellipsoid goes out. Which gives the surface an overall hyperbolic look.
Parametric form:


          x= pow(a*cos(u)*cos(v),3) 

          y= pow(b*sin(u)*cos(v),3)  

          z= pow(c*sin(v),3)

Example:

a=1,b=1,c=1,u={-pi,pi},v={-pi,pi}

Here is the PoV3-source I used
And you need the paraloop.inc include file.