  We initiate a study of an infinite set of renormalization group flows with
accidental supersymmetry enhancement. The ultraviolet fixed points are strongly
interacting four-dimensional $\mathcal{N}=2$ superconformal field theories
(SCFTs) with no known Lagrangian descriptions, and the infrared fixed points
are SCFTs with thirty-two (Poincar\'e plus special) supercharges.
