  The paper concerns the image, level and sojourn time sets associated with
sample paths of the Rosenblatt process. We obtain results regarding the
Hausdorff (both classical and macroscopic), packing and intermediate
dimensions, and the logarithmic and pixel densities. As a preliminary step we
also establish the time inversion property of the Rosenblatt process, as well
as some technical points regarding the distribution of $Z$.
