In this paper, Yi advances concepts in thick origami and introduces  Modular and Uniformly Thick Origami-Inspired Structure systems. Some of the notable contributions of this work are: The creation of a single easy-to-fabricate panel that can be reconfigured into many structures, such as a foot-bridge or a bus station, and stored in compact configurations. The formulation of mathematical constraints that these reconfigurable structures need to satisfy to be "developable", "flat-foldable", and uniformly thick.