Cyclohedron

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Cyclohedron W3

In geometry, the cyclohedron or Bott–Taubes polytope is a certain (n − 1)-dimensional polytope that is useful in studying knot invariants.[1]

The configuration space of n distinct points on the circle S1 is an n-dimensional manifold, which can be compactified into a manifold with corners by allowing the points to approach each other. This compactification can be factored as , where Wn is the cyclohedron.

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  1. ^ Stasheff 1997, p. 58.

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