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Encyclopedia of Combinatorial Polytope Sequences



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Type B permutohedron

(0, 12, 0, 8, 0, 6)

Type B permutohedra PB [arxiv] (Fomin, Reading)
Conjectured: Acyclotopes of signed complete graphs [Zaslavsky]
Dimensions:
0, 1, 2, 3, ... n
Number of Vertices in nth polytope:
1, 2, 8, 48, 384, ... 2^n*n! = (2n)!! [ OEIS A000165][see: i]
Number of Facets:
0, 2, 8, 26, 80, ... 3^n-1 [ OEIS A024023] (Thanks to N. Reading)
f-vectors:
1, 2, 1, 8, 8, 1, 48, 72, 26, 1, ... [ OEIS A145901 (dual)]
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