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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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