Triaxial deformations are considered for determining the binding energ
ies of open-shell, unpolarized He-3(N) clusters. The shapes of He-3 cl
usters are found to be close to spherical, in contrast to the well-def
ormed shapes of alkali-metal clusters. As a result, odd-even alternati
ons and subshell closures between major shells are absent in the size
evolution of the chemical potentials, and the second-energy difference
s associated with He-3(N) clusters.