Unfoldings

These can be formed by taking a normal singularity and adding some lower degree terms.

A1--

A1-- x^2-y^2-z^2

Hyperboloid of 1 sheet x^2-y^2-z^2 =-0.1

Hyperboloid of 2 sheet x^2-y^2-z^2 =+0.1

D4--

D4-- x^2 y-y^3-z^2

One A3 x^2 y-y^3-z^2 - a x^2

3 A1 x^2 y-y^3-z^2 - a(x^2-y^2)

3 A1 x^2 y-y^3-z^2 + a(x^2-y^2)

Three Planes

Three planes x y z=0

Two crosscaps (Crosscap propeller) x y z + a(x^2+y^2)=0

Cone and a plane x y z + x^3