A wire forming apparatus comprises a first rack moveable relative to a second rack in a first direction, a plurality of first forming structures provided on the first rack, and a plurality of second forming structures provided on the second rack. Each of the plurality of first forming structures is configured to move in the first direction, is separated from an adjacent first forming structure, and is configured to move in a second direction closer to the adjacent first forming structure when the first rack moves relative to the second rack. Each of the plurality of second forming structures is configured to move in the first direction, is separated from an adjacent second forming structure, and is configured to move in the second direction closer to the adjacent second forming structure when the first rack moves relative to the second rack. The second direction is different from the first direction.