An antiballistic fabric comprises a first fabric ply made of two outer fabric layers separated by at least one inner fabric layer, each of the layers being constructed only from weft fibers laid at angles between about +30 and 30 degrees from the warp and the fibers of the outer layer form non-complementary angles with the fibers of the inner layers, the layers being knitted together in the z-direction. A second equivalent fabric ply is aligned and bound above the first fabric ply.