Wiktionary
cyclohedron
n. (context geometry English) A certain (''n''−1)-dimensional polytope that is useful in studying knot invariants.
Wikipedia
Cyclohedron
In geometry, the cyclohedron or Bott–Taubes polytope is a certain (n − 1)-dimensional polytope that is useful in studying knot invariants.
The configuration space of n distinct points on the circle S 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 S × W, where W is the cyclohedron.