The effect of triaxial spin projection on the potential energy surface in t
he deformation parameter space (epsilon,gamma) is investigated for three nu
clei; Nd-142, Er-168 and Os-188. The calculation is performed for two sets
of the spherical single-particle space and an effective monopole-pairing pl
us quadrupole-quadrupole interaction. The correlations taken into account b
y the spin projection have an effect of driving the system toward a triaxia
l deformation, irrespective of the shell fillings of the nuclei.