If you mean the regular polyhedra, they are:

tetrahedron, cube (or hexahedron), octahedron, dodecahedron, icosahedron, (Plato's 50) plus: small stellated dodecahedron, great stellated dodecahedron, great dodecahedron, great icosahedron for 9. Maybe a sphere is a perfect curved 3D figure.

12 Faces, 30 Edges, 12 vertices

Do you mean a 3d star that shows a star at all angles.

If so what you mean is a stellated dodecahedron .It is 12 pointed 3 dimensional christmas tree figure.There is a tutorial on youtube Make a Cardboard Stellated Dodecahedron.It is not that professional video but still goes through the steps.Firstly you have to make a Dodecahedron.Then make 12 pentagonal pyramids and stick them onto each side of the dodecahedron it explains it all in the5 part tutorial.

A small rhombicosidodecahedron is a shape with 62 faces, 120 edges, and 60 vertices. It's a cantellation of an icosahedron or dodecahedron. This shape is usually just called a rhombicosidodecahedron. A great rhombicosidodecahedron is a shape with 62 faces, 180 edges, and 120 vertices. It is a truncated icosidodecahedron, and is usually called a truncated icosidodecahedron.

The 6 point 3D star is called a "Modular 6-Pointed Star". This is an origami that has a few unusual steps that makes the folding process unique.