In wurtzite-based quantum wells and superlattices with the c-axis parallel to the layer plane, the plane is parallel to either a summetry plane of the wurtzite lattice (type I structures, the 1120 growth direction) or a glide plane containing the c-axis (type II structures, the 1010 growth direction). In both cases, the space symmetry of the structure depends on the parity of the number of monolayers within the slab(s). The point symmetry is C 2v except for the type II structures with odd monolayer number(s). The latter structures have the σv point symmetry and can present a built-in electric field. Quite different selection rules, depending on the structure symmetry, govern electron optical transitions and exciton radiative recombination.