Pages from researching origami and its relationship to mathematics

There is an undeniable relationship between folds and the mathematical simplicity of lines: a discontinuity in the plane and the one-to-one relationship between two variables. With a little time and effort, any 2D graph can be represented using a crease pattern, though it is a different story if it will produce anything of meaning in the deformed configuration. The problem is how to define what that relationship is supposed to be.

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