  The supersymmetric solutions of N=2, D=4 minimal ungauged and gauged
supergravity are classified according to the fraction of preserved
supersymmetry using spinorial geometry techniques. Subject to a reasonable
assumption in the 1/2-supersymmetric time-like case of the gauged theory, we
derive the complete form of all supersymmetric solutions. This includes a
number of new 1/4- and 1/2-supersymmetric possibilities, like gravitational
waves on bubbles of nothing in AdS_4.
