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What is the face lattice of a convex polytope

The face poset $ FL(P)$ of a convex polyhedron is the set of all faces of $ P$ 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.



Komei Fukuda 2004-08-26