Abstract: In order in a method for a machine tool which has at least five axes and can be used to produce a joining face which is defined by fixed, geometrical variables and joins at least two main faces to one another and has at least two bends in different directions, to improve the quality of the surface and to shorten the traversing paths of the tool, it is proposed according to the invention to use a tool which has a lateral surface (12) which is provided with a rotationally symmetrical contour (13) on which at least one cutting edge is arranged, the contour (13) having with reference to a longitudinal section along the rotation axis (11) of the tool at least one section which is congruent with at least one section of one of the two bends (6) of the joining face (5), it being possible for the purpose of producing the joining face (5, 5′, 35) to guide the tool in the direction (19) of a longitudinal extent of the joining face (5, 5′, 35) so that the tool engages with the workpiece, and the alignment of