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:
“The whole body of what is now called moral or ethical truth existed in the golden age as abstract science. Or, if we prefer, we may say that the laws of Nature are the purest morality.”
—Henry David Thoreau (1817–1862)