Encyclopedia of Combinatorial Polytope Sequences

Multiplihedron

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Download STL file (0, 6, 2, 5)

Download STL file (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 ?]