We know for every Coxeter system $(W,S)$ there is a Coxeter complex associated by its cosets of parabolic subgroups. In Wachs's note Poset Topology p.12-13 she mentioned for the Coxeter complex of type A, it is just the order complex of the Boolean lattice which is the lattice of subsets of $[n]$. And she also mentioned that the Coxeter complex of type B is the order complexes of the dual of face lattices of $n$-cube. So I think there should exist concrete models for other types of Coxeter groups like type A and B, but I couldn't find similar results. Does someone know it?