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Mathematics of paper folding. The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened without damaging it), and the use of paper folds to solve up-to cubic mathematical equations.
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. There are also a number of standard bases which are commonly used as a first step in construction.
Akira Yoshizawa (吉澤 章, Yoshizawa Akira, 14 March 1911 – 14 March 2005) was a Japanese origamist, considered to be the grandmaster of origami. He is credited with raising origami from a craft to a living art. According to his own estimation made in 1989, he created more than 50,000 models, of which only a few hundred designs were ...
It is a three-unit hexahedron built around the notional scaffold of a flat equilateral triangle (two "faces", three edges); the protruding tab/pocket flaps are simply reconnected on the underside, resulting in two triangular pyramids joined at the base, a triangular bipyramid. A popular intermediate model is the triakis icosahedron, shown below.
Origami (折り紙, Japanese pronunciation: [oɾiɡami] or [oɾiꜜɡami], from ori meaning "folding", and kami meaning "paper" (kami changes to gami due to rendaku)) is the Japanese art of paper folding. In modern usage, the word "origami" is often used as an inclusive term for all folding practices, regardless of their culture of origin.
Chinese paper folding. Chinese paper folding, or zhezhi (摺紙), is the art of paper folding that originated in medieval China. The work of 20th-century Japanese paper artist Akira Yoshizawa widely popularized the Japanese word origami; however, in China and other Chinese-speaking areas, the art is referred to by the Chinese name, zhezhi.
A stellated icosahedron made from custom papers. 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 ...
Orizuru. A paper crane spinning in the wind. 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 ...
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