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Encyclopedia of Combinatorial Polytope Sequences


Multiplihedron
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(0, 6, 2, 5)       
                  


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(0, 6, 2, 5)

• Multiplihedra J, M [arxiv] (Forcey)
• 2-associahedra W_n0 = W_0n for the sequences(n,0) or (0,n). [arxiv](N. Bottman)
• Step 1 Biassociahedra K^2_n [arxiv](M. Markl)
• (in low dimensions) trihomomorphism axioms (pasting diagrams) in tricategories [books] (Gordon, Power, Street)
• Constrainahedra C(2,n) = C(n,2), [ arxiv ] ( Bottman, Poliakova)
   or Constr(1,n) = Constr(n,1), [ arxiv ] ( Chapoton, Pilaud)
• Dimensions:
0, 1, 2, 3, ... n
• Number of Vertices in nth polytope:
1, 2, 6, 21, 80, ... Catalan transform of Catalan numbers [ OEIS A121988]
• Number of Facets:
0, 2, 6, 13, 25, 46, ... n(n + 1)/2+ 2^n - 1. [ OEIS ?]