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Encyclopedia of Combinatorial Polytope Sequences



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Type A Coxeter-associahedron (Permutoassociahedron)

(0, 42, 24, 0, 0, 0, 0, 0, 0, 8)
Image redrawn from Fig. 3 of [Reiner, Ziegler],
original credited to Jürgen Richter-Gebert.

• Type A Coxeter-associahedra KPA [zib.de] (Reiner, Ziegler)
• Permutoassociahedra, Permuto-associahedra KP [M. Batanin, via R. Street]
• Dimensions:
0, 1, 2, 3, ... n
• Number of Vertices in nth polytope:
1, 2, 12, 120, 1680... n!*(Catalan number) [ OEIS ]
• Number of Facets:
0, 2, 12, 74, ... Ordered Bell numbers -1 [ OEIS A000670][ OEIS A052875]
• f-vectors:
1, 2, 1, 12, 12, 1, 120, 192, 74, 1, ... [ OEIS ?]
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