The flows in rapidly rotating cubical containers subjected to small-amplitude parametric forcing, such as libration or precession, are investigated numerically. Depending on the orientation of the container, the response flows may be dominated by resonantly excited cavity modes or thin beams emitted from some of the edges and vertices of the container. For some frequency ranges, these beams may focus onto edges or onto inertial wave attractors in the interior. An overview of some of our work along with more recent results will be presented.