Coxeter Configuration

There are (at least) two configurations associated with H. S. M. Coxeter.


A configuration sometimes known as "the Coxeter configuration," but more clearly termed the "Nauru configuration," is the 12_3 configuration illustrated above whose Levi graph is the Nauru graph.


The 28_3 Coxeter configuration is the configuration illustrated above (Boben et al. 2015, Fig. 5(b)) whose Levi graph is the Foster graph F_(056)C (not the Coxter graph).

See also

Configuration, Cubic Symmetric Graph, Levi Graph, Nauru Graph

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Boben, M.; Gévay, G.; and Pisanski, T. "Danzer's Configuration Revisited." Adv. Geom. 15, 393-408, 2015.Coxeter, H. S. M. "Self-Dual Configurations and Regular Graphs." Bull. Amer. Math. Soc. 56, 413-455, 1950.

Referenced on Wolfram|Alpha

Coxeter Configuration

Cite this as:

Weisstein, Eric W. "Coxeter Configuration." From MathWorld--A Wolfram Web Resource.

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