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The intersections between origami, mathematics, and science occur at
many levels and include many fields of the latter. We can group these
intersections into roughly three categories:
Origami mathematics, which includes the mathematics
that describes the underlying laws of origami;
Computational origami, which comprises algorithms
and theory devoted to the solution of origami problems by mathematical
means;
Origami technology, which is the application of
origami (and folding in general) to the solution of problems arising
in engineering, industrial design, and technology in general.