Kummer's Surface

This is one of a well developed class of surfaces designed to display the singularities and symmetries possible in the eqations of degree four. Polynomial:

     v1: x^4+y^4+z^4-x^2-y^2-z^2-x^2*y^2-x^2*z^2-y^2*z^2+1 = 0    

     v2: x^4+y^4+z^4+a*(x^2+y^2+z^2)+b*(x^2*y^2+x^2*z^2+y^2*z^2)+
         c*x*y*z-1=0    
       

Here is the PoV3-source I used

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