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Origami groups

Origami groups are mathematical structures that study the symmetries and transformations of paper-folding patterns, called origami. They focus on how different folds and sequences of folds relate to each other, forming what’s known as a “group” – a set of operations with rules for combining them. These groups help understand the possible shapes and how to systematically generate complex origami designs. Essentially, origami groups provide a framework to analyze and predict how folding patterns behave, connecting art with mathematical principles of symmetry and transformation.