Endless.
A spherical polyhedron is a dodecahedron with 12 faces
Slender is not a polyhedron.
A polyhedron as for example a pyramid
A square is not a polyhedron, it is a polygon. A cube is not a polygon, it is a polyhedron.A square has 4 edges and 4 vertexes. It has no faces because it is not a polyhedron. If you cut the corners off of a square, the new polygon has 8 edges and 8 vertexes.A cube has 6 faces, 12 edges, and 8 vertexes. If you cut the corners off of a cube, the new polyhedron has 14 faces, 36 edges, and 24 vertexes.
Any member of the prism family.
An octahedron is an eight sided polyhedron. It has eight sides or faces, 12 edges, and six vertexes. Please see the Related Link below for more information and a picture.
None, since polyhedons cannot be spherical. A regular polyhedron must be convex, so that word is superfluous. There are 5 regular polyhedra - the Platonic solids.
8 vertexes
Not sure about vertexes or prisim. A rectangular prism, on the other hand, has 8 vertices. Not vertexes.
A cylinder has no vertices (not vertexes!) It has 2 circular edges.
6 edges 4 vertexes
Yes. to add to that a vertex must be connected to at least 3 edges to be 3d, an edge is always connected to 2 vertexes, so the closest the two can ever be is vetexes x 3 = edges x 2, but when working with any platonic solid you can follow this: vertexes x (faces / vertexes) x [edges on one side] = edges x 2 or vertexes x [faces meeting at one vertex] = edges x 2 when working with any other polyhedron [vertexes with x amount of faces] x (x) + [vertexes with y amount of faces] x (y) ...{and so on} = edges x 2