The -cyclohedron, also known as the Bott-Taubes polytope, is defined as the compactification of the configuration space of points on the circle. The cyclohedron can be obtained by removing facets from the permutohedron.

This entry contributed by Bryan Jacobs

Markl, M. "Simplex, Associahedron, and Cyclohedron." 9 Jul 1997. http://arxiv.org/alg-geom/9707009/.

Starck, M. "3D Representations." http://www.ac-noumea.nc/maths/amc/polyhedr/3D-img_.htm.

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Jacobs, Bryan. "Cyclohedron." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/Cyclohedron.html