We derive effective theories for heterogeneous multilayers from three-dimensional nonlinear elasticity by Gamma-convergence. Such materials have been used recently for a self-induced fabrication of nanotubes. The energy minimizers of the limiting functional turn out to be cylinders (scrolls) whose winding direction and radius depends on the equilibrium misfit of the specimen's layers. Taking a non-interpenetration condition into account we find spirals and double spirals as energetically optimal shapes.