Corrugator, comprising a plurality of mould jaws, which comprises at least a plurality of mould jaw units, each mould jaw unit comprising a mould jaw attachment (14; 14a-14h), which comprises a plurality of shaping surfaces (18a-18d) that are different from one another, the shaping surfaces (18a-18d) being suitable for providing a material to be shaped with a predetermined shape, and a mould jaw base element, on which the mould jaw attachment (14; 14a-14h) is arranged, the mould jaw attachment (14; 14a-14h) being mounted on the mould jaw base element so as to be movable relative thereto, and a mould jaw support on which the mould jaw base elements are held, characterised in that the plurality of shaping surfaces (18a-18d) that are different from one another comprises at least four shaping surfaces (18a-18d), of which one shaping surface has a first diameter, one shaping surface has a second diameter which is larger than the first diameter, one shaping surface has a diameter that increases from the first diameter to the second diameter, and a shaping surface has a diameter that reduces from the second diameter to the first diameter, such that the corrugator is designed to form a corrugated pipe which has a constant portion having the first diameter, a constant portion having the second diameter, a portion having a diameter that increases from the first diameter to the second diameter, and/or a portion having a diameter that reduces from the second diameter to the first diameter. a plurality of mould jaws, which comprises at least a plurality of mould jaw units, each mould jaw unit comprising a mould jaw attachment (14; 14a-14h), which comprises a plurality of shaping surfaces (18a-18d) that are different from one another, the shaping surfaces (18a-18d) being suitable for providing a material to be shaped with a predetermined shape, and a mould jaw base element, on which the mould jaw attachment (14; 14a-14h) is arranged, the mould jaw attachment (14; 14a-14h) being mounted on the mould jaw base element so as to be movable relative thereto, and a mould jaw support on which the mould jaw base elements are held, comprising a mould jaw attachment (14; 14a-14h), which comprises a plurality of shaping surfaces (18a-18d) that are different from one another, the shaping surfaces (18a-18d) being suitable for providing a material to be shaped with a predetermined shape, and a mould jaw base element, on which the mould jaw attachment (14; 14a-14h) is arranged, the mould jaw attachment (14; 14a-14h) being mounted on the mould jaw base element so as to be movable relative thereto, and a mould jaw support on which the mould jaw base elements are held, characterised in that the plurality of shaping surfaces (18a-18d) that are different from one another comprises at least four shaping surfaces (18a-18d), of which one shaping surface has a first diameter, one shaping surface has a second diameter which is larger than the first diameter, one shaping surface has a diameter that increases from the first diameter to the second diameter, and a shaping surface has a diameter that reduces from the second diameter to the first diameter, such that the corrugator is designed to form a corrugated pipe which has a constant portion having the first diameter, a constant portion having the second diameter, a portion having a diameter that increases from the first diameter to the second diameter, and/or a portion having a diameter that reduces from the second diameter to the first diameter.