![]() ![]() An emerging direction to design mechanical metamaterials for new functionalities and complex behavior is in the application of origami. These properties can be controlled by changing the topology and geometry of the unit cell resulting in the purposeful design of cellular structures with advanced macroscopic mechanical and physical properties 1, 2, 3. The properties of mechanical metamaterials strongly depend on the spatial arrangement of their constituent base materials. Due to its versatility, the approach provides an inexhaustible source of foldable patterns to inspire the design of metamaterials for a wide range of applications. The versatility of the approach is demonstrated by its capability to not only generate, analyze and optimize regular origami patterns, but also generate and analyze kirigami, generic three-dimensional panel-hinge assemblages and their tessellations. We build on generalized conditions for rigid foldability of degree- n vertices to design origami patterns of arbitrary size and complexity. ![]() Here, we present a generalized approach for the algorithmic design of rigidly-foldable origami structures exhibiting a single kinematic degree of freedom. Although this makes origami a conceptually attractive source of inspiration when designing foldable structures and reconfigurable metamaterials for multiple functionalities, their designs are still based on a set of well-studied patterns leaving the full potential of origami inaccessible for design practitioners and researchers. Origami, the ancient art of paper folding, embodies techniques for transforming a flat sheet of paper into shapes of arbitrary complexity. ![]()
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