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Type B permutohedron
 (0, 12, 0, 8, 0, 6) Image redrawn from Fig. 2.4 of [Fomin, Reading] |
• 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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