Embedding of hyperbolic Coxeter groups into products of binary trees and   aperiodic tilings
  We prove that a finitely generated, right-angled, hyperbolic Coxeter group can be quasiisometrically embedded into the product of n binary trees, where n is the chromatic number of the group. As application we obtain certain strongly aperiodic tilings of the Davis complex of these groups. 
Alexander Dranishnikov, Viktor Schroeder