It is shown that it is possible to account for all the experimental in
dications for neutrino oscillations with just three flavours. In parti
cular we suggest that the atmospheric neutrino anomaly and the LSND re
sult can be explained by the same mass difference and mixing. Possible
implications and future test of the resulting mass and mixing pattern
are given. (C) 1998 Elsevier Science B.V. All rights reserved.