Folding -- from Wolfram MathWorld

There are many mathematical and recreational problems related to folding. Origami, the Japanese art of paper folding, is one well-known example. It is possible to make a surprising variety of shapes by folding a piece of paper multiple times, making one complete straight cut, then unfolding. For example, a five-pointed star can be produced after four folds (Demaine and Demaine 2004, p. 23), as can a polygonal swan, butterfly, and angelfish (Demaine and Demaine 2004, p. 29). Amazingly, every

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Folding mathematics – some starting points for exploration

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Folding Function -- from Wolfram MathWorld

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modular kirigami Flotsam and Origami Jetsam

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Compound of Four Octahedra, mathworld.wolfram.com/Octahedro…

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Regular Tetrahedron with a square inside it -- from Wolfram