  We explore the phase diagram for an $SU(N)$ gauge theory in $2 + 1$
dimensions with three families of fermions with different masses, all in the
fundamental representation. The phase diagram is three dimensional and contains
cuboid, planar and linear quantum regions, depending on the values of the
fermionic masses. Among other checks, we consider the consistency with
boson/fermion dualities and verify the reduction of the phase diagram to the
one and two-family diagrams.
