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 configuration illustrated above whose Levi
graph is the Nauru graph .
The configuration illustrated
above (Boben et al. 2015, Fig. 5(b)) whose Levi
graph is the Foster graph not the Coxter
graph ).
See also Configuration ,
Cubic Symmetric Graph ,
Levi Graph ,
Nauru
Graph
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References 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 https://mathworld.wolfram.com/CoxeterConfiguration.html
Subject classifications
configuration illustrated above whose Levi
graph is the Nauru graph.
Coxeter configuration is the configuration illustrated
above (Boben et al. 2015, Fig. 5(b)) whose Levi
graph is the Foster graph 
(not the Coxter
graph).
