A method for providing a nonlinear line of weakness on a web material includes: providing a counter component comprising a nonlinear shape, where the nonlinear shape has a shape width, W; providing a blade in operative relationship with the counter component and comprising a plurality of teeth; rotating at least one of the blade and the counter component into interacting relationship with the other of the blade and the counter component; feeding a web between the counter component and the blade such that while in interacting relationship the blade cooperates with the counter component to perforate the web, wherein the web is moving in a machine direction; and reciprocally shifting one of the counter component and the blade for a distance, D, in a shifting direction, wherein D is at least the translational distance that one tooth travels to cover the shape width, W.