There is provided a support structure for use with 3D printing of objects from computer-aided designs. The support structures include fine points that contact the down-facing surfaces of the 3D object being printed in order to adequately support the 3D object while also being adapted for easy removal after the 3D print process is complete. The fine points are possible by controlling the operation of the dispenser to provide a precise amount of material in a precise location. The dispenser jumps from a first fine point to a second fine point by retracting the print material after the first fine point is printed and then moving the dispenser vertically relative to the first fine point before the dispenser is moved horizontally to the second fine point.