An abstract polytope is a partially ordered set, whose elements we call faces, satisfying the 4 axioms:
- It has a least face and a greatest face.
- All flags contain the same number of faces.
- It is strongly connected.
- Every 1-section is a line segment.
An n-polytope is a polytope of rank n.
Read more about Abstract Polytope: Examples of Higher Rank, Duality, Abstract Regular Polytopes, Realizations, The Amalgamation Problem and Universal Polytopes, Exchange Maps, Incidence Matrices, History
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