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Encyclopedia of Combinatorial Polytope Sequences



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Type D permutohedron

(0, 6, 0, 8)

• Type D permutohedra PD [zib.de] (Reiner, Ziegler)
• Dimensions:
2, 3, ... n
• Number of Vertices in nth polytope:
4, 24, 192, ... 2^(n-1)*n! [ OEIS A002866]
• Number of Facets:
4, 14, 48, ... 3^n - n*2^(n-1) - 1 [ OEIS ?] (Thanks N. Reading)
• f-vectors:
1, 4, 4, 1, 24, 36, 14, 1, 192, 384, 240, 48, 1,... [ OEIS A145902]
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