Classification of steiner surfaces

steiner01

Equation: x^2*y^2+x^2*z^2+y^2*z^2-x*y*z

steiner02

Equation: x^2*y^2-x^2*z^2+y^2*z^2-x*y*z

steiner03

Equation: x*y*z^2+x*y-x^2-z^4-2*z^2+1

steiner04

Equation: x*z^2-y^2+z^4

steiner05

Equation: x^4+y^2+z^2-2*x^2*y-2*x^2*z+2*y*z-4*y*z

steiner06

Equation: y^4+z^4+2*y*z^2-x

steiner07

Equation: x^2*y^2+z^2 -2*x*z^2

steiner08

Equation: x*y*z-y^2+z^2

steiner09

Equation: x^2-y*z^2

steiner10

Equation: y*z-x+z^3