A kinematic mount with more than three mating elements. To function properly, the sum total of DOFs constrained by the mating elements is six. Mounts that have four mating elements—for example a Pivot and three Spacers, or two Sliders and two Spacers, are beneficial. Conditions are shown under which the four-legged mounts are kinematic, stable and can be assembled from one direction, kinematic mount connecting two subassemblies along a mating direction, comprised of four mating elements, each mating element having two components, each attached to a different subassembly, two of said mating elements being Slider mating elements each having a Slide Axis and constraining two degrees of motion, and the other two of said mating elements each being a Spacer mating element each having a Spacer Axis and constraining a single degree of motion, said mating elements configured to jointly constrain six independent degrees of motion.