  We give a classification of toric, Hermitian, Ricci flat, ALF Riemannian
metrics in dimension 4, including metrics with conical singularities. The only
smooth examples are on one hand the hyperKaehler ALF metrics, on the other
hand, the Kerr, Taub-NUT and Chen-Teo metrics. There are examples with conical
singularities with infinitely many distinct topologies. We provide explicit
formulas.
