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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 Huzita–Justin axioms or Huzita–Hatori axioms are a set of rules related to the mathematical principles of origami, describing the operations that can be made when folding a piece of paper. The axioms assume that the operations are completed on a plane (i.e. a perfect piece of paper), and that all folds are linear.
Computational origami results either address origami design or origami foldability. [3] In origami design problems, the goal is to design an object that can be folded out of paper given a specific target configuration. In origami foldability problems, the goal is to fold something using the creases of an initial configuration.
Geometric Origami is a book on the mathematics of paper folding, focusing on the ability to simulate and extend classical straightedge and compass constructions using origami. It was written by Austrian mathematician Robert Geretschläger [ de ] and published by Arbelos Publishing (Shipley, UK) in 2008.
Samuel L Randlett (January 11, 1930 – July 2023) was an American origami artist who helped develop the modern system for diagramming origami folds. Together with Robert Harbin he developed the notation introduced by Akira Yoshizawa to form what is now called the Yoshizawa-Randlett system (sometimes known as Yoshizawa-Randlett-Harbin system). [1]
Origami Omnibus: Paper Folding for Everybody. Tokyo: Japan Publications, Inc. ISBN 4-8170-9001-4 A book for a more advanced origamian; this book presents many more complicated ideas and theories, as well as related topics in geometry and culture, along with model diagrams. Kunihiko Kasahara and Toshie Takahama (1987). Origami for the Connoisseur.
Origamics: Mathematical Explorations Through Paper Folding is a book on the mathematics of paper folding by Kazuo Haga [], a Japanese retired biology professor.It was edited and translated into English by Josefina C. Fonacier and Masami Isoda, based on material published in several Japanese-language books by Haga, and published in 2008 by World Scientific. [1]
[10] [11] Huffman included the result in a 1976 paper on curved creases, [12] and Husimi published the four-crease theorem in a book on origami geometry with his wife Mitsue Husimi. [13] The same result was published even earlier, in a pair of papers from 1966 by S. Murata that also included the six-crease case and the general case of Maekawa's ...