Inverted Boys Surface

minimal surface 
       Inverted Boys Surface

   P(z) = Re ( a(z) V(z) )

where:

  z = exp(u + i v)

a(z) = 1/(z^3 - z^{-3} + sqrt(5) )

and

V(z) = ( i ( z^2 + z^(-2) ) ,  z^2 + z^(-2) , (2 i/3) ( z^3 + z^(-3) ) )