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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 (born January 11, 1930, in New Jersey [1]) is 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). [2]
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. Results in origami design problems have been more accessible than in origami foldability problems. [3]
The modern growth of interest in origami dates to the design in 1954 by Akira Yoshizawa of a notation to indicate how to fold origami models. [3] [4] The Yoshizawa-Randlett system is now used internationally. Today the popularity of origami has given rise to origami societies such as the British Origami Society and OrigamiUSA. The first known ...
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.
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.
Origami tessellation is a branch that has grown in popularity after 2000. A tessellation is a collection of figures filling a plane with no gaps or overlaps. In origami tessellations, pleats are used to connect molecules such as twist folds together in a repeating fashion.
The value of any given term in the regular paperfolding sequence, starting with =, can be found recursively as follows.Divide by two, as many times as possible, to get a factorization of the form = where is an odd number.
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