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.

# Cyclohedron

## See also

Associahedron, Permutohedron, Polytope
*This entry contributed by Bryan
Jacobs*

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## References

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.## Referenced on Wolfram|Alpha

Cyclohedron## Cite this as:

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