3D origami design

What is it about?

A new method for designing developable three-dimensional (3D) origami structures and simulating the unfolding process from designed 3D configurations to planar crease patterns out of input point sets specified respectively in the x-z and y-z planes of a Cartesian coordinate system is developed.

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Why is it important?

Since the proposed method is based on a pure mathematical procedure, it can be easily implemented computationally, which makes it useful in practical applications by people without much knowledge on origami. Moreover, it can be used to create 3D origami structures to support two given surfaces, thereby providing a practical way of designing structures of this type.