It is generally difficult to know in advance if a sheet of paper can be folded into an origami shape, but for quadrilateral crease patterns a tiling approach can identify all possible ways of folding them.
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Santangelo, C. A fold strategy. Nat. Phys. 16, 7–8 (2020). https://doi.org/10.1038/s41567-019-0684-4
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DOI: https://doi.org/10.1038/s41567-019-0684-4
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