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 
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).
