Origami of a samurai mounted on his horse
swan origami

Origami meaning “folding paper” is the Japanese art of paper folding. In modern usage, “origami” is used as an inclusive term for all folding/cutting practices, regardless of their culture of origin. The goal is to transform flat square sheet(s) of paper(s) into a finished sculpture through folding and sculpting techniques. Modern origami practitioners include “kirigami”, a variation of origami that includes cutting of the paper and in some cases making use of glue. The small number of basic origami folds can be combined in a variety of ways to make intricate designs. The small number of basic origami folds can be combined in a variety of ways to make intricate designs.

Distinct paperfolding traditions arose in Europe, China, and Japan which have been well-documented by historians. These seem to have been mostly separate traditions, until the 20th century. In Japan, the earliest unambiguous reference to a paper model is in a short poem by Ihara Saikaku in 1680 which mentions a traditional butterfly design used during Shinto weddings. Folding filled some ceremonial functions in Edo period Japanese culture; noshi were attached to gifts, much like greeting cards are used today. This developed into a form of entertainment; the first two instructional books published in Japan are clearly recreational. The best-known origami model is the Japanese paper crane. In general, these designs begin with a square sheet of paper whose sides may be of different colors, prints, or patterns. Traditional Japanese origami, which has been practiced since the Edo period (1600–1868), has often been less strict about these conventions, sometimes cutting the paper or using non-square shapes to start with. The principles of origami are also used in stents, packaging, and other engineering applications. 

Game of Thrones Dragon Origami
Fox Origami
A Tsuru Origami tree
Origami
How to fold an origami
A paper snowflake kirigami
A Vampire Origami
mammoth
A Mammoth Origami

When Japan opened its borders in the 1860s, as part of a modernization strategy, they imported Froebel’s Kindergarten system—and with it, German ideas about paperfolding. This included the ban on cuts, and the starting shape of a bicolored square. These ideas, and some of the European folding repertoire, were integrated into the Japanese tradition. Before this, traditional Japanese sources use a variety of starting shapes, often had cuts; and if they had color or markings, these were added after the model was folded.

greeting card
Combining origami and kirigami, one can make greeting cards for all occasions

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