The History of Origami dates back to 105A.D. when paper was first invented in China and was brought to Japan by 6th Century monks. Between the years of 1603-1868, the folding of paper was recreational and ceremonial. But before then, in Ancient Japan, paper folding was strictly ceremonial. The name 'Origami' originates from the Japanese words oru which means to fold, and kami which means paper. By the 1800's, children were learning the skills of Origami by the time they were kindergarten. Origami is a family tradition that is passed down from generation to generation in most conditions, but can also be a simple fun thing to do in more of an 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 valuable gift and was served as a certificate of authenticity. "Noshi" was a folded piece of paper that was given with a gift and is symbolized as a token of good fortune. "Tsutsumi" was a formal gift wrapper. 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 topic of paper folding which included all of the ifs, ands, and buts. From Japan, The culture of Origami spread to Europe. From Europe, origami then spread to South America and then to North America. While spreading throughout Europe is was becoming common to fold things into boats, kites, and birds. The most common Origami that was founded in Europe was the "Pajarita" meaning little bird. The Pajarita is very popular to be found in European paintings from the 1800's such as "The Merrymakers" by French painter, Carolus-Dura. During the Muromachi period (1338-1573) the Ogasawara and Isa...
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...together, they bisect and cut the line in half. Postulate three is that "Given two lines L1 and L2, one can fold a crease placing L1 onto L2" (). This results in another bisecting line. There are four more postulates which get more and more complicated as they go on. The postulates show how complex mathematics in origami is.
Origami can also be used to show various models of math which include "2-space, 3-space, and fractional space" (). 2-space models can make polygons such as the simple rectangle, triangle, squares, hexagons, and more (). 3-space creates more complicated models such as, tetrahedrons, cubes, octahedrons, and dodecahedrons (). Finally, fractional space makes fractals which are even more elaborate. Mathematicians use modular origami to show fractals which can be either two dimensions or three. Origami has been very helpful in the math world because
This rich history all started in between the years of 1867 to 1873. It was introduced by a professor at Kaisei Gakka, a college boarding school. His name was Horace Wilson. Wilson was the one that brought the game to Japan, but there were others that helped him teach the Japanese the ways of the game. Him and another professor named Albert Bates would help teach and train those who were interested in playing
The illuminated manuscript page (fig 1) was a popular art form throughout the Middle Ages. Illuminated manuscripts, ornamented manuscript pages executed on an animal skin called vellum , were popular throughout the Middle Ages. A majority of these colorful pages that survive were produced during the Romanesque era, on request of the clergymen and emperors. Done on vellum, an animal skin with ink. Charlemagne, arguably the most important emperor of the Carolingian dy...
Study of Geometry gives students the tools to logical reasoning and deductive thinking to solve abstract equations. Geometry is an important mathematical concept to grasp as we use it in our life every day. Geometry is the study of shape- and there are shapes all around us. Examples of geometry in everyday life are- in sport, nature, games and architecture. The game Jenga involves geometry as it is important to keep the stack of tiles at a 90 degrees angle, otherwise the stack of tiles will fall over. Architects use geometry everyday- it is essential when designing buildings- shape, angles and area and perimeter are some of the geometry concepts architects
...fiori canes, including some silhouettes, on a background of white filigree, and the third and smallest dome contains an upright blue lampworked flower with green foliage. The 3-Tiered Paperweight is made of three separate paperweights made with different techniques, which were then “reheated and then fused together. Due to the fact that each time a paperweight is reheated the danger of destroying it increases, this is quite a technical achievement” (Cmog.org, 2014).
Abstract geometry is deductive reasoning and axiomatic organization. Deductive reasoning deals with statements that have already been accepted. An example of deductive reasoning is proving the sum of the measures of the angles of a quadrilateral is 360 degrees. Another example of deductive reasoning is proving the sum of the angles of a trigon is equal to 180 degrees. From this we get, any quadrilateral can be divided into two trigons. Axioms, which are also called postulates, are statements that can be proved true by using deductive reasoning.
Proactivity allows a female to harness her power with aspirations of removing female stereotypes and rising up for equality between genders. The gender difference perspective examines how women's location in social situations differ from that of men. The Paper Bag Princess written by Robert Munsch, explores Elizabeth's transgression with social gender roles displaying feminist values. The pro feminist text challenges social norms by illustrating a non-stereotypical view of Elizabeth and her female empowerment by breaking traditional folktale gender roles.
Paperclips are an everyday use in today's world. They hold our papers together, when we don’t want to use a stapler that will poke the unwanted holes into our paper. They also keep our papers organized and neat. There are many types of paper clips that were created, but only a few really were the ones. Over the many years, since ancient Eurasia, the clip has made its way through many patents, inventors, machines, and much more. There are many different colors, sizes, forms of paper clips.
Areas of the following shapes were investigated: square, rectangle, kite, parallelogram, equilateral triangle, scalene triangle, isosceles triangle, right-angled triangle, rhombus, pentagon, hexagon, heptagon and octagon. Results The results of the analysis are shown in Table 1 and Fig 1. Table 1 showing the areas for the different shapes formed by using the
On first thought, mathematics and art seem to be totally opposite fields of study with absolutely no connections. However, after careful consideration, the great degree of relation between these two subjects is amazing. Mathematics is the central ingredient in many artworks. Through the exploration of many artists and their works, common mathematical themes can be discovered. For instance, the art of tessellations, or tilings, relies on geometry. M.C. Escher used his knowledge of geometry, and mathematics in general, to create his tessellations, some of his most well admired works.
Banners were commonly adorned to long trumpets and had the arms of the lord who owned the trumpeters. Original Banners were made with many materials such as, wool, linen or silk, and hand sewn. The Oriflamme was square on the top and edges, with end being decorated with pointed or tapered tongues. Usually made of red silk, it had the effect of a flame when moving in the wind. The Oriflamme looks like a larger version of today’s streamers attached to the guidon.
In 1436 Johannes Gutenberg invented the Printing Press, which had a major impact on both the Renaissance and printing today, however there other movable type systems invented before Gutenberg’s Printing Press. There are a few inventors of printing systems before Gutenberg, the first being an inventor in China, the second being a Dutchman, and the third being inventor in Korea that developed a printing system around the 12th century. In 1041 Pi Sheng invented movable clay type in China, which is the first known printing system, however the first known printed book is thought to be Diamond Sutra, which was printed in China, in 868 CE. The movable type system invented in China never succeeded, as it was unmanageable, as the Chinese language is made up of many characters. Although Diamond Sutra is known to be the first printed book, it is thought that book printing may have occurred well before this date. Later in the 13th century paper money and playing cards, from China reached Europe, the items were block printed. The block printing method was quite expensive and time consuming, as each word, phrase, and picture was carved onto a separate block. Woodblock printing remained the standard printing metho...
Fractals are a geometric pattern that are repeat over and over again to produce irregular shapes and surfaces that cannot be classical geometry. It is also, an innovative division of geometry and art. Conceivably, this is the grounds for why most people are familiar with fractals only as attractive pictures functional as backdrop on the PC screen or unique postcard design. But what are they really? Most physical structures of nature and lots of human artifacts are not normal geometric shapes of the typical geometry resulting from Euclid. Fractal geometry proposes almost limitless ways of depicting, evaluating, and predicting these natural occurrences. But is it possible to characterize the entire world using mathematical equations? This article describes how the two most well-known fractals were fashioned and explains the most significant fractal properties, which make fractals helpful for different domains of science. Fractals are self-similarity and non-integer dimension, which are two of the most significant properties. What does self-similarity imply? If you look methodically at a fern leaf, you will become aware that every small leaf has the identical shape as the whole fern leaf. You can conclude that the fern leaf is self-similar. The same is with fractals: you can magnetize then as many times as you like and after each time you will still see the same shape. The non-integer dimension is more complicated to explain. Classical geometry involves objects of integer dimensions: points, lines and curves, plane figures, solids. However, many natural occurrences are better explained using a dimension amid two whole numbers. So while a non-curving straight line has a component of one, a fractal curve will obtain a dimension between...
...oday Turkey leads the world in a return to traditional kilim rug production. Because every rug is hand-woven according to age-old traditions, each is a unique work of ethnic art.
As a beginning of music distribution and sharing between people, one could take an invention of a printing press in around 1450. The device was able of printing ink onto a print medium, which in Europe is credited to the printer and goldsmith Johannes Gutenberg. This invention could be taken as a starting point notes reproduction in paper form. However only in around 1800s the print media, including the sheet music was getting produced for wider audience.
Printing in a simple description is the duplication of images and text. The art of printmaking can be said to date all the way back to before 3000 BC with the Mesopotamians who created a cylindrical seal that could be used to imprint its images onto clay tablets by rolling it across the clay with a little pressure. Skipping along years and years ahead, wax seals to represent a family, guild, church, or nobility were used to seal letters using a carved stamp and imprinting it on hot wax applied to the folded parchment. Some time around 200 CE, in China; woodblock printing became the main method of printmaking and continued so until the 19th century. Woodblock printing works just as a stamp does, except it is made of wood, unlike the rubber stamps we use today. Woodblock printing was a very popular art form in Japan, however, was not held as high and prestigious as painting. One of the most recognizable pieces is from a set of 36 views of Mt. Fuji called: “The Great Wave off Kanagawa” by Hokusai.