Bipyramids are a class of polyhedra with more faces than vertices.
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A cube has 8 vertices and 6 faces. Therefore a cube has 2 more vertices than faces.
3d shapes with plane faces are called polyhedra (singular = polyhedron). The minimum number of vertices is 4, there is no maximum.
The number of vertices does not determine the number of faces. If the shape with 6 vertices was a quadrilateral based bipyramid, it would have 8 faces. A hexagonal based pyramid has 7 vertices and 7 faces. So more vertices does not necessarily imply more faces.
A cube is a geometric shape which has 6 faces and 8 vertices ie .2 more vertices than faces
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.