In stamping, operating costs are dominated by raw material costs, which can typically reach 75% of total costs in a stamping facility. In this paper, a new algorithm is described that determines stamping strip layouts for pairs of parts such that the layout optimizes material utilization efficiency to any desired accuracy. This algorithm predicts the jointly-optimal blank orientation on the strip, relative positions of the paired blanks and the optimum width for the strip. Examples are given for nesting pairs of the same parts together, and for pairs of different parts nested together. This algorithm is ideally suited for incorporation into die design CAE systems.