An apparatus and system that form a hexagonal exposed spot grid on a substrate. This is accomplished by using a patterning device that directs a patterned beam onto a microlens array, which forms Fourier transformed spots of the pattered beam at the substrate. Through at least one of (a) moving of the substrate that is patterned by the patterning device and/or changing a frequency of a beam of radiation or (b) through a hexagonal configuration of the patterning device and the microlens array, the spots from the microlens array form the hexagonal exposed spot grid on the substrate.