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A tetrahedron (4 triangular faces) is the only polyhedron that has a unique configuration of faces, edges and vertices.

For any polyhedron with n (>4) faces, there is a prism with a pair of n-2 sided polygons as bases as well a pyramid whose base is an n-1 sided polygon. There are many other configurations for polyhedra with more faces. For example, there are ten [topologically] different figures with 6 faces: 3 of these are concave polyhedra.

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Q: Which two 3-dimensional figures have the same number of faces?
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