  Basing on the theory for arbitrary oriented surfaces, we developed the theory
of the moir\'e effect for cylindrical single-layer objects in the paraxial
approximation. With using the dual grids, the moir\'e effect in the plane
gratings is simulated, as well as the near-axis moir\'e effect in cylinders
including the chiral layouts. The results can be applied to the graphene
layers, to single-walled nanotubes, and to cylinders in general.
