Enneper's minimal surface

This is a minimal surface with a very simple definition. Despite this it is hard to visualize because of self intersections. You can clearly see two holes through it in the shadows

Polynomial form:

     ((y^2-x^2)/(2*z)+2*z^2/9+2/3)^3-
6*((y^2-x^2)/(4*z)-(1/4)*(x^2+y^2+(8/9)*z^2)+2/9)^2=0

Parametric form:

      x=u-(u*u*u/3)+u*v*v 
y=v-(v*v*v/3)+u*u*v
z=u*u-v*v

Try u={-2,2},v={-2,2}

Here is the PoV3-source I used

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