Abstract: Disclosed herein is a mechanism adapted for twisting an eye formed at one end of a U-shaped link, said mechanism comprising a frame, an input shaft supported by the frame for rotation and adapted to be rotated by a power source, a clamp on the frame for gripping the link against movement and with the eye extending from the clamp, and a rotatable head on the frame and connected to the input shaft and engagable with the extending eye for twisting the eye in one direction through a first angular distance in response to one portion of the rotational cycle of the input shaft and for additionally twisting the eye in the one direction through an additional angular distance in response to another portion of the rotational cycle of the input shaft.Also disclosed herein is a wire chain and a wire fabric and methods of making the same incorporating the operation of the above disclosed eye twisting mechanism.