-- The initial resting pose of many industrial parts differs from the orientation desired for assembly. We show that it is possible to align parts during grasping using a standard parallel-jaw gripper. A solution is an arrangement of four gripper point contacts that will align the part in the vertical plane as the jaws close. Given a n-sided polygonal part and k uniformly distributed sample points on each side, we present an O(n4 k4 ) numerical algorithm to compute a set of solutions or a report that no solution exists. The algorithm combines toppling, accessibility, and formclosure analysis. We have implemented the algorithm and report sensitivity data from physical experiments.