Egg crate sidewall features for sipes

A method for forming a tire tread, the tread having:

• a length extending in a lengthwise direction, the lengthwise direction being a circumferential direction when the tread is arranged on a tire;
• a width extending in a lateral direction, the lateral direction being perpendicular to the lengthwise direction;
• a thickness extending in a depthwise direction from an outer, ground-engaging side of the tread, the depthwise direction being perpendicular to both the lengthwise direction and the widthwise direction of the tread, the method comprising the steps of:
• molding each of a plurality of sipes using a sipe-molding member, each sipe-molding member having a length configured within the tread to extend at least partially in a direction of the tread length or width, a height configured within the tread to extend at least partially in a direction of the tread depth and perpendicular to the tread length, and a thickness, each sipe-molding member arranged between opposing sides of the tread within the tread thickness,
• where at least one of the opposing sides of the sipe-molding member thickness includes a plurality of recesses for forming a plurality of projections in at least one of the opposing sides of the tread, the plurality of recesses being spaced apart and each having a height measuring 0.025 to 0.375 millimeters;
• removing the sipe-molding member, leaving a sipe remaining within the tread, the sipe having a void shaped as the sipe-molding member and a plurality of projections corresponding to the plurality of recesses arranged along the sipe-molding member,
• where one or more of the opposing sides of the sipe thickness include a plurality of recesses, the plurality of recesses being spaced apart and each having a depth measuring 0.025 to 0.375 millimeters,
• where the plurality of projections are arranged in an alternating arrangement within a plurality of rows, where adjacent rows are shifted relative each other such that each projection in any row is arranged adjacent to one of the plurality of recesses in each adjacent row, and
• where the projections and recesses are formed along the thickness of the sipe-molding member undulating back and forth along a non-linear, undulating path as the sipe-molding member extends in the direction of the sipe height or length, the non-linear, undulating path forming a plurality of undulations and having a period of 0.1 to 3.0 millimeters and an amplitude of 0.025 to 0.375 millimeters,
• where the sipe thickness undulates back and forth along a first path as the sipe extends in a direction of the sipe height or length, the first path forming a plurality of undulations and having a period greater than the spacing between the plurality of projections and an amplitude greater than the amplitude of each of the plurality of projections, where the plurality of projections are arranged along one or more of the plurality undulations, and
• where the arrangement of projections and recesses is represented by a function of f(x,y)=A*sin(B*x)*sin(C*y), where A, B, and C are scaling factors.