Abstract: Implementations of the present invention include a thread-rolling tap, which is designed and intended for the non-cutting finishing of a previously created thread, in particular internal thread. For example, one implementation of such a tool includes at least one thread-forming portion that rotates about a tool axis, the thread-forming portion having multiple forming wedges. The forming wedges in cross-section include two flanks that diverge from one another beginning at a forming wedge tip. The forming wedge tip can be shaped as any of an acute angle, a rounded region, or a flattened region. At least one of the two flanks also include at least one expansion for positioning the forming wedge in the previously created thread. Additional implementations of the invention relate to a methods of manufacturing such a tool, as well as to methods of creating a thread.