Back to big table.
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) • Lipschitz polytope L(P) for P an antichain.[Sanyal and Stump] • Lipschitz polytope L(P) for P a chain. • 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] • Brillouin zone (Wigner-Seitz cell of reciprocal space) for Simple Cubic lattice in 3d [wiki] • Poset associahedra for cross-stack posets [arxiv] • Quotientopes P , whose upper ideal of shards contains only the basic shards. [Pilaud, Santos] |
• 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] |
top index