The face poset of a convex polyhedron is the set of all faces of ordered by set inclusion. Two polytopes are called isomorphic if their face posets are isomorphic. The face poset of a convex polytope is a lattice.
The face poset of a convex polyhedron is sometimes referred to as the combinatorial structure of the polyhedron. Thus the expression ``two polyhedra are combinatorially equal'' means they are isomorphic.