Abstract: Using the Mapping Method different designs of SMX motionless mixers are analyzed and optimized. The three design parameters that constitute a specific SMX design are: the number of cross-bars over the width of channel, Nx, the number of parallel cross-bars per element, Np, and the angle between opposite cross-bars ?. Optimizing Nx, somewhat surprisingly reveals that in the standard design with Np=3, Nx=6 is the optimum using both energy efficiency as well as compactness as criteria. Increasing Nx results in under-stretching and decreasing Nx leads to over-stretching of the interface. Increasing Np makes interfacial stretching more effective by co-operating vortices. Comparing realized to optimal stretching, we find the optimum series for all possible SMX(n) designs to obey the universal design rule Np=(?)Nx?1, for Nx=3, 6, 9, 12, . . .