Cyclohedron

In geometry, the cyclohedron is a ${\displaystyle d}$-dimensional polytope where ${\displaystyle d}$ can be any non-negative integer. It was first introduced as a combinatorial object by Raoul Bott and Clifford Taubes and, for this reason, it is also sometimes called the Bott–Taubes polytope. It was later constructed as a polytope by Martin Markl and by Rodica Simion. Rodica Simion describes this polytope as an associahedron of type B.

The cyclohedron appears in the study of knot invariants.