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
Famous quotes containing the word abstract:
“One of the fundamental reasons why so many doctors become cynical and disillusioned is precisely because, when the abstract idealism has worn thin, they are uncertain about the value of the actual lives of the patients they are treating. This is not because they are callous or personally inhuman: it is because they live in and accept a society which is incapable of knowing what a human life is worth.”
—John Berger (b. 1926)