Electromagnetic radiative penguin decays of the B meson were studied with the BABAR detector at SLAC's PEP-II asymmetric-energy B Factory. Branching fractions and isospin asymmetry of the decay B → K*γ, branching fractions of [Formula: see text], and a search for B0 → ϕγ are presented. The decay rates may be enhanced by contributions from non-standard model processes.