Edge figure

Edge figure

In higher order polytopes, an edge figure of a polychoron or 4-honeycomb is a polygon representing the set of faces around an edge. For example the "edge figure" for a regular cubic honeycomb {4,3,4} is a square, and for a regular polychoron {p,q,r} is the polygon {r}.

References

*H.S.M. Coxeter, "Regular Polytopes", Hbk (1948), ppbk (1973).
*H.S.M. Coxeter (et al), Uniform Polyhedra, "Phil. Trans". 246 A (1954) pp. 401-450.
*P. Cromwell, "Polyhedra", CUP pbk. (1999).
*H.M. Cundy and A.P. Rollett, "Mathematical Models", OUP (1961).
*J. Skilling, The Complete Set of Uniform Polyhedra, "Phil. Trans". 278 A (1975) pp. 111-135.
*M. Wenninger, "Dual Models", CUP hbk (1983) ppbk (2003).

See also

* Vertex configuration
* List of regular polytopes

External links


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