  We show that the $4d$ ${\cal N}=1$ $SU(3)$ $N_f=6$ SQCD is the model obtained
when compactifying the rank one E-string theory on a three punctured sphere (a
trinion) with a particular value of flux. The $SU(6)\times SU(6)\times U(1)$
global symmetry of the theory, when decomposed into the $SU(2)^3\times
U(1)^3\times SU(6)$ subgroup, corresponds to the three $SU(2)$ symmetries
associated to the three punctures and the $U(1)^3 \times SU(6)$ subgroup of the
$E_8$ symmetry of the E-string theory. All the puncture symmetries are manifest
in the UV and thus we can construct ordinary Lagrangians flowing in the IR to
any compactification of the E-string theory. We generalize this claim and argue
that the ${\cal N}=1$ $SU(N+2)$ SQCD in the middle of the conformal window,
$N_f=2N+4$, is the theory obtained by compactifying the $6d$ minimal
$(D_{N+3},D_{N+3})$ conformal matter SCFT on a sphere with two maximal
$SU(N+1)$ punctures, one minimal $SU(2)$ puncture, and with a particular value
of flux. The $SU(2N+4)\times SU(2N+4)\times U(1)$ symmetry of the UV Lagrangian
decomposes into $SU(N+1)^2\times SU(2)$ puncture symmetries and the
$U(1)^3\times SU(2N+4)$ subgroup of the $SO(12+4N)$ symmetry group of the $6d$
SCFT. The models constructed from the trinions exhibit a variety of interesting
strong coupling effects. For example, one of the dualities arising
geometrically from different pair-of-pants decompositions of a four punctured
sphere is an $SU(N+2)$ generalization of the Intriligator-Pouliot duality of
$SU(2)$ SQCD with $N_f=4$, which is a degenerate, $N=0$, instance of our
discussion.
