  We discuss a model for neutrino masses and mixings based on R parity
violating Yukawa couplings. The model requires no right-handed neutrinos. It
accommodates the SuperKamiokande data on atmospheric neutrinos and successfully
relates this data to the mass difference for solar neutrinos in the small-angle
MSW solution. We obtain an unexpected testable pattern for the three neutrino
flavors.
