We have analyzed the most recent available Super-Kamiokande data in a three
flavor neutrino oscillation model. We have here neglected possible matter
effects and we performed a fit to atmospheric and solar Super-Kamiokande da
ta. We have investigated a large parameter range where the mixing angles we
re restricted to 0 less than or equal to theta (i) less than or equal to pi
/2, i = 1,2,3, and the mass squared differences were taken to be in the in
tervals 10(-11) eV(2) less than or equal to Deltam(2) less than or equal to
10(-2) eV(2) and 10(-4) eV(2) less than or equal to DeltaM(2) less than or
equal to 10 eV(2), i.e., the hierarchy between the mass squared difference
s is not completely determined. This yielded a best solution characterized
by the parameter values theta (1) similar or equal to 45 degrees, theta (2)
similar or equal to 10 degrees, theta (3) similar or equal to 45 degrees,
Deltam(2) similar or equal to 4.4 x 10(-10) eV(2), and DeltaM(2) similar or
equal to 1.01. x 10(-3) eV(2), which shows that the analyzed experimental
data speak in favor of a bimaximal mixing scenario with one of the mass squ
ared differences in the "just-so" domain and the other one in the range cap
able of providing a solution to the atmospheric neutrino problem.