  We show how the brane wrapping rules, recently discovered in closed oriented
string theories compactified on tori, are extended to the case of the Type IIA
string compactified on K3. To this aim, a crucial role is played by the duality
between this theory and the Heterotic string compactified on a four-dimensional
torus T^4. We first show how the wrapping rules are applied to the T^4/Z_N
orbifold limits of K3 by relating the D0 branes, obtained as D2 branes wrapping
two-cycles, to the perturbative BPS states of the Heterotic theory on T^4. The
wrapping rules are then extended to the solitonic branes of the Type IIA
string, finding agreement with the analogous Heterotic states. Finally, the
geometric Type IIA orbifolds are mapped, via T-duality, to non-geometric Type
IIB orbifolds, where the wrapping rules are also at work and consistent with
string dualities.
