A tire includes a circumferential tread having a tread element disposed thereon, wherein the tread element includes a top surface that defines a first plane. The tire further includes at least one substantially helicoid-shaped sipe disposed in the tread element. The substantially helicoid-shaped sipe is defined by an opening in the top surface extending in a first direction in the first plane when the tire is new, and is further defined by a base extending in a second direction in a second plane parallel to the first plane. The second direction is disposed at an angle between 45° and 135° with respect to the first direction.