The gratings contain transmission gratings and reflective gratings. The textbook-screen in the grating experiments is a planar screen. To study the orientation-dependence of the 2-dimention diffraction patterns of the grating, we proposed the cylindrical screen. Then utilizing the cylindrical screen in both transmission grating experiments and reflective grating experiments. Experiments show the 2-dimention curved, expanded and inclined diffraction patterns. The cylindrical screen visually shows that the diffraction orders of the rotating gratings distribute in two dimensions. The CCD can be placed at the precise locations of each order to collect data. By using the cylindrical screen, two coordinates are needed to describe the curved, expanded and inclined diffraction patterns of the rotating grating. The cylindrical screen may be used to test the theories of the grating rotating around 3 axes.