Tire with substantially helicoid-shaped sipe

A tire comprising:

• a circumferential tread having a tread element disposed thereon, wherein the tread element includes a top surface that defines a first plane;
• and
• at least one substantially helicoid-shaped sipe disposed in the tread element,
• wherein the substantially helicoid-shaped sipe is defined by a single narrow slit defining an opening in the top surface having a first length and a first width,
• wherein the single narrow slit is formed by two opposed, parallel walls that extend between a first closed end and a second closed end without interruption,
• wherein the single narrow slit extends only in a first direction in the first plane when the tire is new, the first direction being a substantially circumferential direction,
• wherein the substantially helicoid-shaped sipe is further defined by a base having a second length equal to the first length, a second width equal to the first width, and extending in a second direction in a second plane parallel to the first plane,
• wherein the second direction is disposed at an angle between 45° and 135° with respect to the first direction,
• wherein the substantially helicoid-shaped sipe is further defined by a sipe axis extending from a first point on the base to a second point at the opening in the top surface, the sipe axis extending at 0° with respect to a radial direction of the tire, and
• wherein the substantially helicoid-shaped sipe has a pitch such that the substantially helicoid-shaped sipe turns between 9-18° per millimeter of depth.