A tool includes first and second tool parts that move toward one another, at least one processing device provided on the first tool part, and at least two counter devices provided on the second tool part. The processing device and the counter devices are rotatable relative to one another about at least one positioning axis, and the counter devices are aligned relative to one another along a direction of relative rotational movement of the processing device and the counter devices. The processing device and a first counter device are allocated to one another by at least a first defined processing parameter, and the processing device and a second counter device are allocated to one another by at least a second defined processing parameter. The first processing parameter is different than the second processing parameter.

Tools for machining planar workpieces are provided that include an upper tool, an upper main body, and at least one tool body on the upper main body having a cutting edge. The tools further include a lower tool having a lower main body with a rest surface for the workpiece and a positioning axis oriented perpendicular to the rest surface, at least one counter tool body on the lower main body that has a counter cutting edge that is a closed contour. The cutting edge of the at least one tool body has a cutting contour that corresponds to the closed contour of the at least one counter tool body, and at least one group of at least two counter tool bodies on the lower tool can be associated with the closed contour of the least one tool body.

A tool includes first and second tool parts that move toward one another, at least one processing device provided on the first tool part, and at least two counter devices provided on the second tool part. The processing device and the counter devices are rotatable relative to one another about at least one positioning axis, and the counter devices are aligned relative to one another along a direction of relative rotational movement of the processing device and the counter devices. The processing device and a first counter device are allocated to one another by at least a first defined processing parameter, and the processing device and a second counter device are allocated to one another by at least a second defined processing parameter. The first processing parameter is different than the second processing parameter.

A tool for machining planar workpieces, comprising an upper tool having a clamping shaft and an upper main body, at least one tool body on the upper main body opposite the clamping shaft, the tool body having a cutting edge, a lower tool having a lower main body with a rest surface for the workpiece and a positioning axis oriented perpendicular to the rest surface, at least one counter tool body on the lower main body that has a counter cutting edge that is a closed contour, wherein the cutting edge of the at least one tool body has a cutting contour that corresponds to the closed contour of the at least one counter tool body, wherein at least one group of at least two counter tool bodies on the lower tool that are associatable with the closed contour of the least one tool body.

A tool includes first and second tool parts that move toward one another, at least one processing device provided on the first tool part, and at least two counter devices provided on the second tool part. The processing device and the counter devices are rotatable relative to one another about at least one positioning axis, and the counter devices are aligned relative to one another along a direction of relative rotational movement of the processing device and the counter devices. The processing device and a first counter device are allocated to one another by at least a first defined processing parameter, and the processing device and a second counter device are allocated to one another by at least a second defined processing parameter. The first processing parameter is different than the second processing parameter.

A method includes removing material from a die and thereby changing a location of a cutting edge of the die in a punch entry direction and changing a cutting edge cross-section of the die; and assigning a punch and/or a workpiece thickness to the die based, at least in part, on the change in the cutting edge cross-section of the die.