Perforating apparatus for manufacturing a nonlinear line of weakness

A perforating apparatus and a web, the web comprising:

• bath tissue or tissue towel having a machine direction, and a cross machine direction that is perpendicular to the machine direction;
• and
• the apparatus comprising:
• a cylinder comprising a longitudinal cylinder axis and at least one anvil having a profile of a sinusoidal shape, wherein the cylinder rotates about the longitudinal cylinder axis;
• a support operatively engaged with the cylinder, wherein the support is moveable with respect to the cylinder;
• and
• a blade disposed on the support so as to cooperate in contacting relationship with the anvil, wherein the blade is parallel to the longitudinal cylinder axis,
• wherein the blade comprises a plurality of teeth, and wherein adjacent teeth are separated by a recessed portion,
• wherein the web is perforated as the web passes between the rotating cylinder and the support and the blade cooperates with the anvil, the perforating forming a curvilinear line of weakness in the web comprising at least two wavelengths, wherein the curvilinear line of weakness comprises a plurality of perforations, wherein each of the plurality of perforations is separated by a bond area, wherein each of the plurality of perforations has a perforation length and each bond area has a non-perforation length, wherein each of the wavelengths comprises a crest and a trough, wherein the non-perforation lengths are substantially the same length at the crests and the troughs of the wavelengths and a different length between the crests and the troughs of the wavelengths;
• wherein the cylinder and the support are at an angle of 2 degrees to 20 degrees from the cross machine direction of the web;
• and
• wherein the anvil is mechanically and removably attached to an outer surface of the cylinder by bolting, clamping, or screwing.