  We introduce brane brick models, a novel type of Type IIA brane
configurations consisting of D4-branes ending on an NS5-brane. Brane brick
models are T-dual to D1-branes over singular toric Calabi-Yau 4-folds. They
fully encode the infinite class of 2d (generically) N=(0,2) gauge theories on
the worldvolume of the D1-branes and streamline their connection to the probed
geometries. For this purpose, we also introduce new combinatorial procedures
for deriving the Calabi-Yau associated to a given gauge theory and vice versa.
