We study the effect of dipolar interactions on a magnetic striped mono
layer with a microscopic unit cell of square symmetry, and of size (N-
x x N-y) spins. Even if the aspect ratio r = N-x/N-y is very large, an
in-plane shape anisotropy is always negligible, except if N-y is fair
ly small (N-y < 40). In-plane domains are not possible, except for val
ues of the dipolar coupling larger than the domain wall energy.