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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.
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]
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.
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.
The placement of a point on a curved fold in the pattern may require the solution of elliptic integrals. Curved origami allows the paper to form developable surfaces that are not flat. [41] Wet-folding origami is a technique evolved by Yoshizawa that allows curved folds to create an even greater range of shapes of higher order complexity.
In 1954, his first monograph, Atarashii Origami Geijutsu (New Origami Art) was published. In this work, he established the Yoshizawa–Randlett system of notation for origami folds (a system of symbols, arrows and diagrams [3]), which has become the standard for most paperfolders. The publishing of this book helped Yoshizawa out of his poverty.
It is not certain when play-made paper models, now commonly known as origami, began in Japan. However, the kozuka of a Japanese sword made by Gotō Eijō (後藤栄乗) between the end of the 1500s and the beginning of the 1600s was decorated with a picture of a crane made of origami, and it is believed that origami for play existed by the Sengoku period or the early Edo period.
The orizuru (折鶴 ori-"folded," tsuru "crane"), origami crane or paper crane, is a design that is considered to be the most classic of all Japanese origami. [ 1 ] [ 2 ] In Japanese culture, it is believed that its wings carry souls up to paradise, [ 2 ] and it is a representation of the Japanese red-crowned crane , referred to as the ...