A bevel head assembly is shown capable of fine motor control of a cutting tool (for instance, a laser or plasma cutter) in three simultaneous dimensions of movement. A rack-and-pinion system moves the bevel head assembly and cutter up and down in the Z-axis while a rotational motor attached to the rack-and-pinion system moves the bevel head assembly in a first rotational (X) axis, and a linear actuator pivotally connected to the cutting tool is mounted to the rotational motor to move the bevel head assembly in a second (Y) rotational axis.