A Steiner Relative

Steiner Relative

This surface can be transformed into Steiner's Roman Surface or Cross-Cap Surface by a complex projective change of coordinates, but not by a real transformation. It has two pinch points and three double lines, and, unlike the Roman or Cross-Cap, is not compact in any affine neighborhood. Polynomial:

      x^2*y^2-x^2*z^2+y^2*z^2-x*y*z=0

Here is the PoV3-source I used

Back