Techniques for manipulating computer graphical objects

A computer-generated virtual object manipulator having one or more affordances for manipulating a computer-generated virtual object is disclosed. Selection of a virtual object can cause an object manipulator to be displayed over the virtual object. The object manipulator can include a cone-shaped single-axis translation affordance for each of one or more object axes, a disc-shaped single-axis scale affordance for each of the one or more object axes, an arc-shaped rotation affordance for rotation about each of the one or more object axes, and a center of object affordance for free space movement of the virtual object. The object manipulator can also include a slice-shaped two-axis translation affordance that can be displayed after hovering over an area in a particular plane.