A pneumatic tire comprising a belt structure and a torus shaped carcass having a first inner radius and an outer radius, wherein the carcass is comprised of three or more layers of ply, wherein each layer of ply is formed from a rubberized strip of one or more cords, the strips being wound in an geodesic pattern having the cord extend across the carcass from a first shoulder to a second shoulder in a path that has at least one point tangent to the first inner radius located in the bead area of the tire.