I think that the kind of polyhedron that you're trying to build here doesn't exist.

Here I have attached the polygons for the top hex face and pentagon sides - now you can see that these do not line up to create a regular planar hexagon between them (look at it from the front side to see the non-planarity).

You could fill in those hex areas with triangles or something, but it doesn't seem like it is possible to make all simple big regular polygon faces with this arrangement.

If you use a 5-sided base instead of a hexagon base at the bottom, it is possible to create a 12-sided dodecahedron...

- Michael