An apparatus and method are provided for three dimensional planing of a workpiece. The apparatus includes a base, a displaceable machine table supported on that base, a displaceable spindle supported on the base adjacent the machine table, a cutting tool held in a chuck carried on the spindle and a control module. The control module includes a controller and a plurality of actuators to provide precise displacement of the machine table, spindle, cutting tool and the workpiece for planing surface features into the workpiece.

The provided method and material-removing tool serve for producing an exact-fit cylindrical bore with a high degree of surface quality and a length that may be a multiple of the diameter from an existing bore with a finishing allowance. In order to reduce the time taken for the finishing by means of a reamer to be performed, it is proposed to use a tool in the form of an impact die, which is formed at the front end with a circular or substantially circular cutting edge, the diameter of which corresponds to the nominal diameter of the bore to be produced, and which tapers from directly behind the cutting edge or behind a front region of a certain length.

A method for producing a thread can include a) generating a number n1 of twisted grooves in a wall of the workpiece encircling a thread axis (M) or generating a wall of the workpiece which has a number n1 of twisted grooves and encircles a thread axis, b) respectively inserting a thread generating region of a tool into each of the twisted grooves in a twisted insertion movement, c) generating a thread in each wall sub-region, adjoining the groove(s), of the wall of the workpiece by rotating the tool about the thread axis (M) and with a simultaneous axial feed motion of the tool coaxially with respect to the thread axis with a particular axial feed speed and d) moving each thread generating region of the tool out of the associated groove in a twisted removal movement matched to the twisting of the associated twisted groove.