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Encyclopedia of Combinatorial Polytope Sequences



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Type D Associahedron

( 0, 3, 6, 0)

Type D associahedra [arxiv] (Fomin, Reading) [arxiv] (Ceballos, Pilaud)
Dimensions:
2, 3, ... n
Number of Vertices in nth polytope:
4, 14, 50, 182 ... (3n-2)*C(n-1), where C is Catalan numbers [ OEIS A051924]
Number of Facets:
4, 9, 16, 25 ... conjecture n^2 [ OEIS A000290]
f-vectors:
1, 4, 4, 1, 14, 21, 9, 1, 50, 100, 66, 16, 1, ... [ OEIS A080721]
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