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An origami polyhedra is what is called modular origami. Modular origami are 3D shapes that usually have a basic unit that is recreated many times and then connected in a 3D mesh in order to construct the object. In mathematical terms, it's basically fractals. Modulars include 3D stars and more complex multi-sided or multi-pointed objects. An excellent book for an introduction and some solid projects is "Action Origami" by Rick Beech.

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