An apparatus for cutting a pipe includes a housing with a central aperture for holding the pipe in a fixed position. A rotatable collar is mounted on the outer surface of the fixed housing, with a cutting head attached to the collar. The cutting head is configured to translate forward and backward such that the combination of the rotational movement of the collar and the translational movement of the cutting head is capable of performing complex cuts without ever moving the pipe. A number of different cutting tools (laser, plasma, etc.) may be attached to the cutting head, and a variety of different tasks may be performed including cutting completely through the entire pipe, inscribing on the pipe surface, forming through-holes along the pipe, and the like.