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Encyclopedia of Combinatorial Polytope Sequences



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Hypercube

(0, 6, 0, 0)

Cubes C [wiki]
Order polytope O(P) for P the poset with no relations on n elements (antichain with n elements). [citeseer](R.Stanley)
Chain polytope C(P) for P the poset with no relations on n elements (antichain with n elements). [citeseer](R.Stanley)
Stanley-Pitman polytopes [arxiv] (Postnikov, Reiner, Williams)
Acyclotopes, or graphical zonotopes, for graphs that are forests. [ Zaslavsky],[Postnikov]
Voronoi cells of cographical lattice for tree graphs (primary parallelohedra, primary parallelotopes) [F. Vallentin]
Poset associahedra for cross-stack posets [arxiv]

Dimensions:
0, 1, 2, 3, ... n
Number of Vertices in nth polytope:
1, 2, 4, 8, 16, ... 2^n [ OEIS A000079 ]
Number of Facets (start at n=0):
0, 2, 4, 6, 8 ... 2*n [ OEIS A004277]
f-vectors:
1, 2, 1, 4, 4, 1, 8, 12, 6, 1, 16, ... [ OEIS A038207]
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