  This paper concerns locally finite 2-complexes $X_{m,n}$ which are
combinatorial models for the Baumslag-Solitar groups $BS(m,n)$. We show that,
in many cases, the locally compact group Aut($X_{m,n}$) contains
incommensurable uniform lattices. The lattices we construct also admit
isomorphic Cayley graphs and are finitely presented, torsion-free, and
coherent.
