The history of origami dates back to 105 AD when paper was first invented in China and was brought to Japan by 6th century monks. Between the years 1603-1868, paper folding was recreational and ceremonial. But before that, in ancient Japan, folding paper was strictly ceremonial. The name "Origami" comes from the Japanese words oru meaning to fold and kami meaning paper. In the 1800s, children learned origami skills as early as kindergarten. Origami is a family tradition that is passed down from generation to generation in most conditions, but it can also be a simple and fun thing to do in a more American culture. In traditional aspects, origami was more of a symbolic figure. For example, "Origami Tsuki" was a folded piece of paper that was given with a precious gift and served as a certificate of authenticity. “Noshi” was a folded piece of paper that was given as a gift and is symbolized as a sign of good luck. “Tstsumi” was a formal gift box. These ceremonial folds were simple and symbolized sincerity and purity. In 1764, the first book "Tstsumi-no Ki" by Sadatake Ise was written on the theme of paper folding which included all the ifs, i and buts. From Japan, the Origami culture spread to Europe. From Europe origami then spread to South America and then to North America. As it spread across Europe it was becoming common to fold objects to create boats, kites and birds. The most common Origami founded in Europe was the "Pajarita" which means little bird. Pajarita is very popular and is found in European paintings from the 1800s such as "The Merrymakers" by the French painter Carolus-Dura. During the Muromachi period (1338-1573) Ogasawara and Isa...... center of card ...... together, bisect the line in half. Postulate three is that "Given two lines L1 and L2, one can fold a fold by placing L1 on L2" (). This results in another bisecting line. There are four other postulates that become more and more complicated as we go forward. The postulates show how complex the mathematics is in origami. Origami can also be used to show various mathematical models which include "2 spaces, 3 spaces and fractional space" (). 2-space models can create polygons such as simple rectangle, triangle, square, hexagon and more (). Three-dimensional space creates more complicated patterns such as tetrahedrons, cubes, octahedrons, and dodecahedrons (). Finally, fractional space creates even more elaborate fractals. Mathematicians use modular origami to show fractals that can be two-dimensional or three-dimensional. Origami has been very useful in the world of mathematics because
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