The history of origami dates back to 105 AD. when paper was first invented in China and introduced to Japan by monks in the 6th century. Between the years 1603 and 1868, paper folding was recreational and ceremonial. But before that, in ancient Japan, paper folding was strictly ceremonial. The name “Origami” comes from the Japanese words oru which means to fold and kami which means paper. In the 1800s, children were taught origami techniques as early as kindergarten. Origami is a family tradition that is passed down from generation to generation in most settings, but can also be a simple and fun thing to do in a more American culture. In its traditional aspects, origami was rather a symbolic figure. For example, "Origami Tsuki" was a folded piece of paper that was given with a valuable gift and served as a certificate of authenticity. “Noshi” was a folded piece of paper given with a gift and symbolized as a token of good fortune. “Tsutsumi” was formal gift wrapping. These ceremonial folds were simple and symbolized sincerity and purity. In 1764, the first book “Tsutsumi-no Ki” by Sadatake Ise was written on the theme of paper folding which included all the ifs, ands, and buts. From Japan, the culture of Origami spread to Europe. From Europe, origami then spread to South America and then North America. As it spread throughout Europe, it became common to fold objects into boats, kites and birds. The most widespread origami in Europe was “Pajarita” which means little bird. La Pajarita is very popular in European paintings from the 1800s, such as "The Merry Makers" by French painter Carolus-Dura. During the Muromachi period (1338-1573), Ogasawara and Isa...... middle of paper ... together they cut the line in two. The third postulate is that “Given two lines L1 and L2, we can fold a fold by placing L1 on L2” (). This gives another bisecting line. There are four other postulates that become more and more complicated as they progress. The postulates show how complex the mathematics of origami is. Origami can also be used to show various mathematical models that include "2-space, 3-space, and fractional space" (). 2 space templates can create polygons such as simple rectangle, triangle, squares, hexagons, etc. (). Space 3 creates more complex patterns such as tetrahedra, cubes, octahedrons, and dodecahedra (). Finally, fractional space gives rise to even more elaborate fractals. Mathematicians use modular origami to show fractals that can be two or three dimensions. Origami has been very useful in the world of mathematics because