Apparatus for perforating a nonlinear line of weakness

An apparatus for providing a nonlinear line of weakness on a web material, the apparatus comprising:

• a base comprising at least one counter component having a length, Lcc, wherein the counter component comprises a nonlinear shape that is periodic, has a wavelength and a shape width, W, equivalent to the wavelength;
• a support operatively engaged with the base;
• a blade having a length, LB, and being disposed on the support so as to cooperate in interacting relationship with the counter component, wherein the blade has a plurality of teeth, wherein a web is perforated as the web passes between the base and the support and the blade cooperates with the counter component;
• and
• a driving means associated with one of the support and the base to reciprocally shift the one of the support or the base for a distance, D, in an axial shifting direction, wherein the distance one of the plurality of teeth shifts is equivalent to the shape width, W.