This page is an entry in an

Encyclopedia of Combinatorial Polytope Sequences



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Cyclohedron

(0, 4, 4, 4)

• Cyclohedra W [arxiv] (M. Markl)
• Bott-Taubes polytopes
• Type B,C associahedra [arxiv] (S. Fomin, N. Reading)(R. Simion)
• cycle-graph-associahedra [arxiv] (S. Devadoss)
• (in low dimensions) hexagonator equations (pasting diagrams) in braided monoidal categories [arxiv] (M. Stay)
• Dimensions:
0, 1, 2, 3, ... n
• Number of Vertices in nth polytope:
1, 2, 6, 20, 70, ... central binomial coefficients [ OEIS A000984]
• Number of Facets:
0, 2, 6, 12, 20, ... n^2+n [ OEIS A002378]
• f-vectors:
1, 2, 1, 6, 6, 1, 12, 30, 20, 1, 20, 90, 140, ... [ OEIS A063007]
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