A detailed understanding of complete fusion cross sections in heavy-io
n collisions requires a consideration of the effects of the deformatio
n of the projectile and target. Our aim here is to show that deformati
on and orientation of the colliding nuclei have a very significant eff
ect on the fusion-barrier height and on the compactness of the touchin
g configuration. To facilitate discussions of fusion configurations of
deformed nuclei, we develop a classification scheme and introduce a n
otation convention for these configurations. We discuss particular def
ormations and orientations that lead to compact touching configuration
s and to fusion-barrier heights that correspond to fairly low excitati
on energies of the compound systems. Such configurations should be the
most favorable for producing superheavy elements. We analyze a few pr
ojectile-target combinations whose deformations allow favorable entran
ce-channel configurations and whose proton and neutron numbers lead to
compound systems in a part of the superheavy region where alpha half-
lives are calculated to be observable, that is, longer than 1 mu s.