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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.
The Yoshizawa–Randlett system of instruction by diagram was introduced in 1961. [8] Crease pattern for a Miura fold. The parallelograms of this example have 84° and 96° angles. In 1980 a construction was reported which enabled an angle to be trisected. Trisections are impossible under Euclidean rules. [9]
A crease pattern (commonly referred to as a CP) [1] is an origami diagram that consists of all or most of the creases in the final model, rendered into one image. This is useful for diagramming complex and super-complex models, where the model is often not simple enough to diagram efficiently.
Modular origami or unit origami is a multi-stage paper folding technique in which several, or sometimes many, sheets of paper are first folded into individual modules or units and then assembled into an integrated flat shape or three-dimensional structure, usually by inserting flaps into pockets created by the folding process. [3]
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.
Examples of modular origami made up of Sonobe units: an augmented icosahedron and an augmented octahedron, which require 30 and 12 units, respectively. Shuriken kusudama made from 12 Sonobe units The table below shows the correlation between three basic characteristics – faces, edges, and vertices – of polygons (composed of Toshie's Jewel ...
This may be considered a broad category that contains origami and card modeling. Origami is the process of making a paper model by folding a single piece of paper without using glue or cutting while the variation kirigami does. Card modeling is making scale models from sheets of cardstock on which the parts were printed, usually in full color ...
A paper fortune teller may be constructed by the steps shown in the illustration below: [1] [2] The corners of a sheet of paper are folded up to meet the opposite sides and (if the paper is not already square) the top is cut off, making a square sheet with diagonal creases.