  We explore the space of renormalization group flows that originate from
$\mathcal{N}=1$ supersymmetric $SU(2)$ gauge theory with one adjoint and a pair
of fundamental chiral multiplets. By considering all possible relevant
deformations - including coupling to gauge-singlet chiral multiplets - we find
34 fixed points in this simple setup. We observe that theories in this class
exhibit many novel phenomena: emergent symmetry, decoupling of operators, and
narrow distribution of central charges $a/c$. This set of theories includes two
of the $\mathcal{N}=2$ minimal Argyres-Douglas theories and their mass deformed
versions. In addition, we find 36 candidate fixed point theories possessing
unphysical fermionic operators -including one with central charges $(a,
c)\simeq (0.20, 0.22)$ that are smaller than any known superconformal theory
-that need further investigation.
