  We investigate (2+1)-dimensional quiver Chern-Simons theories that arise from
the study of M2-branes probing toric Calabi-Yau 4-folds. These theories can be
elegantly described using brane tilings. We present several theories that admit
a tiling description and give details of these theories including the toric
data of their mesonic moduli space and the structure of both their Master space
and baryonic moduli space. Where different toric phases are known, we exhibit
the equivalence between the vacua. We identify some of the mesonic moduli
spaces as cones over smooth toric Fano 3-folds.
