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Encyclopedia of Combinatorial Polytope Sequences


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Type B Coxeter-associahedron

(0, 36, 0, 0, 0, 6, 0, 0, 0, 8)
Image redrawn from Fig. 3 of [Reiner, Ziegler],
original credited to Jürgen Richter-Gebert.
• Type B Coxeter-associahedra KPB [zib.de] (Reiner, Ziegler)
• Dimensions:
1, 2, 3, ... n
• Number of Vertices in nth polytope:
2, 8, 96, ... 2^n*n!*(Catalan number) [ OEIS conjecture]
• Number of Facets:
2, 8, 50, ... OPEN [ OEIS ?]
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