We compare the classical and quantum behaviour of the kicked rotator and a kicked three-dimensional top. The most prominent classical difference lies in the topology of the respective phase spaces which is cylindrical for the rotator and spherical for the top. Quantum mechanically, localization of the angular momentum is possible for the rotator but not for the top. We show, however, that in a very special limit the top goes over into the rotator. Incidentally, that limit illustrates the nonuniqueness of quantization.