Haptic devices, such as the PHANTOM [1] (SensAble Technologies, Inc.) can be used to develop object interactions where various interaction states and state transitions are implemented through forces, rather than through menu selections, as in typical user interfaces. This parallels certain real-world interactions such as sliding an object over a plane or pressing hard to destroy (delete) something. We present a set of techniques that we call haptic state-surface interactions that are designed to make interactions with 3D objects more fluid and natural. We develop the example of drawing a polyline on a curved or flat surface. Control points are selected by touching them and this enables them to be slid across the surface. Simply lifting up the stylus and breaking contact releases them. Points are deleted by pushing them through the surface. Points are cloned by applying force so that they "click-down". We have also developed state-plane techniques that use pop-up orthogonal p...