(0, 6, 0, 8)
• (Type A) Permutohedra/ permutahedra P, S [wiki]
• Secondary polytopes of the prisms of simplices. [e-book] (Gelfand, Kapranov, Zelevinsky)
• complete-graph-associahedra [arxiv] (S. Devadoss)
• complete-graph-multiplihedra [arxiv] (Devadoss, Forcey)
• Step 1 Bipermutohedra P^n_m [arxiv](M. Markl)[arxiv](S.Saneblidze, R. Umble)
• Step 1 Biassociahedra K(n,m) = K^n_m [arxiv](M. Markl)[arxiv](S.Saneblidze, R. Umble)
• Acyclotopes for complete graphs A(K_n) [ Zaslavsky]
• Graphical zonotopes for complete graphs Z(K_n) [Postnikov]
• Zonotopes polar to the braid arrangements.
• Quotientopes P , whose upper ideal of shards contains all the shards. [Pilaud, Santos]
• Fiber polytopes of unit cubes over line segments.
• Voronoi cells of cographical lattice for complete graphs (primary parallelohedra, primary parallelotopes) [F. Vallentin]
• Brillouin zone (Wigner-Seitz cell of reciprocal space) for Face Centered Cubic lattice in 3d [wiki]
• Poset-associahedra for antichain with minimal element adjoined [arxiv]
• 1-skeleton is Cayley graph for symmetric group, using transpositions.[wiki]
0, 1, 2, 3, ... n
• Number of Vertices in nth polytope:
1, 2, 6, 24, 120, ... n! [ OEIS A000142]
• Number of Facets:
0, 2, 6, 14, 30 ... 2^(n+1) -2 [ OEIS A000918]
• f-vectors:
1, 2, 1, 6, 6, 1, 24, 36, 14, 1, ... [ OEIS A019538]
• h-vectors:
1, 4, 1, 1, 11, 11, 1, 1, 26, 66, 26, 1, ... [ OEIS A008292]