A method for providing a nonlinear line of weakness on a web material including providing: a base, a support, a blade, and a driving means. The base may comprise at least one counter component having a length (LCC) where the counter component comprises a nonlinear shape having a shape width (W). The support may be operatively engaged with the base. The blade may have a length (LB) and may be disposed on the support so as to either contact or to come in close proximity with the counter component. At least one of the counter component and the blade may have a nonlinear shape and at least one of the counter component and the blade may comprise multiple segments.