Barth Sextic

This picture is showing (the real points of a part of) the Barth-sextic, an algebraic surface in complex three-dimensional projective space with 65 double points. Polynomial:

      4(t^2 x^2 - y^2)(t^2 y^2 - z^2)(t^2 z^2 - x^2) -
      (1+2t)(x^2 + y^2 + z^2 - 1)^2 = 0
      t = 0.5*(1 + sqrt(5))

Here is the PoV3-source I used

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