reported a transformable metamaterial utilizing a basic material unit made of paper strips that has three degrees-of-freedom (DOF) and can deform into several specific shapes. Currently, a few attempts have emerged using other origami techniques. Most of the prior research on origami metamaterials mainly focus on stacking layers of sheets folded by a crease pattern known as the Miura-ori to obtain particular features such as a negative Poisson's ratio. Recently, there has been a surge of interest in creating mechanical metamaterials using origami which for certain origami patterns could be folded into structures with unique mechanical properties that are uncommon among existing conventional materials. The design flexibility among these structures makes them ideal to be used for creation of truly programmable metamaterials. Moreover, we also show that transformable patterns with higher mobility exist for other polygonal modules. Moreover, by the introduction of paired modules, we are able to adjust the expansion ratio of the pattern. Due to the existence of 4R linkages within the assemblies, they become transformable, and can be compactly packaged. Using mathematical tiling and patterns and mechanism analysis, we are able to develop various structures consisting of interconnected quadrilateral modules. In this paper, we carry out a fundamental research on two-dimensional (2D) transformable assemblies inspired by modular origami. Some of them turn out to be capable of large-scale shape transformation, making them ideal to create metamaterials with tuned mechanical properties. Modular origami is a type of origami where multiple pieces of paper are folded into modules, and these modules are then interlocked with each other forming an assembly. Journal of Verification, Validation and Uncertainty Quantification.
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