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The additional restrictions that distinguish modular origami from other forms of multi-piece origami are using many identical copies of any folded unit, and linking them together in a symmetrical or repeating fashion to complete the model. There is a common misconception that treats all multi-piece origami as modular.
Another variation to Sonobe models is the addition of secondary units to basic Sonobe unit forms to create new geometric shapes; some of which can be seen in Tomoko Fuse's book Unit Origami: Multidimensional Transformations (1990). [9] An example of modified Sonobe units used in a 30-unit triakis icosahedron.
There are two traditional methods for making polyhedra out of paper: polyhedral nets and modular origami.In the net method, the faces of the polyhedron are placed to form an irregular shape on a flat sheet of paper, with some of these faces connected to each other within this shape; it is cut out and folded into the shape of the polyhedron, and the remaining pairs of faces are attached together.
This type of modular folding is often done with Chinese paper money. Triangles are folded from multiple pieces of 1:2 aspect ratio paper, and connected by inserting a flap of one triangle into a pocket on the next. Popular subjects include pineapples, swans, and ships. This form of modular origami is commonly referred to as "3D origami".
Kunihiko Kasahara (笠原 邦彦, Kasahara Kunihiko) (born 1941) is a Japanese origami master. He has made more than a hundred origami models, from simple lion masks to complex modular origami, such as a small stellated dodecahedron.
The origami crane diagram, using the Yoshizawa–Randlett system. The Yoshizawa–Randlett system is a diagramming system used to describe the folds of origami models. Many origami books begin with a description of basic origami techniques which are used to construct the models.
Tomoko Fuse (布施 知子, Fuse Tomoko, born in Niigata, 1951) is a Japanese origami artist and author of numerous books on the subject of modular origami, and is by many considered as a renowned master in such discipline.
Axioms 1 through 6 were rediscovered by Japanese-Italian mathematician Humiaki Huzita and reported at the First International Conference on Origami in Education and Therapy in 1991. Axioms 1 though 5 were rediscovered by Auckly and Cleveland in 1995. Axiom 7 was rediscovered by Koshiro Hatori in 2001; Robert J. Lang also found axiom 7.