Chinese name: Tang Tang, Tang Tang, Tang Tang, Tang Tang, Tang Tang, Tang Tang, Tang Tang, Tang Tang, Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang Tang It evolved from the banquet in the Song Dynasty, initially as an indoor game for literati, and later evolved into a folk jigsaw puzzle. According to Lu Yiqing's "Cold Land Miscellaneous Knowledge" in Qing Dynasty, there are several pictures of Song and Huang banquets, which are divided into twenty-five styles and become sixty-eight styles. Several pictures of butterflies are very clear, but the system has been modified, and triangles are staggered into hooks, such as butterfly wings. Its formula three, its system six, its dozens of three, its variant, where more than one hundred. Recently, there are seven clever diagrams, the formula is five, the number is seven, and there are more than a thousand kinds of changes. The body is simple and changeable, and the tools of the game are enough to dispel boredom and break the silence, so secular people like it. "Now the jigsaw puzzle is cut into five small Pythagorean shapes by a square and pieced together into various things, such as people, animals and plants, pavilions, cars, boats, bridges and so on. You can play alone or with many people. Some important geometric relations can be clarified by using puzzles, and its principle is the "complementary access principle" in ancient arithmetic. Tangram's concrete structure Tangram is composed of the following seven wooden boards. The complete pattern is a square: five isosceles right triangles (two small triangles, one middle triangle and two large triangles), one square and one parallelogram. /kloc-One of the most popular jigsaw puzzles in the 0/9th century is the jigsaw puzzle. The popularity of Tangram is probably due to its simple structure, simple operation and easy understanding. You can use jigsaw puzzles to spell out your own designs at will, but if you want to use jigsaw puzzles to spell out specific patterns, you will encounter real challenges. This is the fun of jigsaw puzzles. The jigsaw puzzle has a simple structure, which easily leads people to think that it is easy to solve its problems, but this idea is one-sided. /kloc-more than 0/600 patterns can be put together by puzzles, some are easy to spell, some are quite mysterious, and some are specious and full of contradictions. The related historical puzzle was invented by the working people in ancient China, and its history can be traced back to at least the first century BC, and it was basically finalized in the Ming Dynasty. Ming and Qing dynasties were widely circulated among the people. In the first volume of Cold Records Miscellaneous Knowledge, Yi wrote: "Recently, there are seven ingenious maps with five shapes and seven numbers, with as many as 1,000 variations. The body is small and changeable, and the tools of the game are enough to dispel boredom and break the silence, so secular people like it. "Tangram was spread abroad in the18th century. Needham said that this is one of the "oldest pastimes in the East", and the library of Cambridge University in England still has a collection of "seven ingenious pieces". American writer Edgar Allan Porter refined a puzzle with ivory. French Napoleon also used jigsaw puzzles as a pastime in exile. Who would have thought that Tangram would compete with Napoléon Bonaparte, Adam, Du Lei, Edgar Allan Poe and Carol? In fact, they are all fans of jigsaw puzzle. /kloc-in the 0/8th century, the jigsaw puzzle spread abroad, which immediately aroused great interest. Some foreigners played all night and called it "Tangtu", which means "Puzzle from China". There are many original sayings about the name of Tangram: China Traditional Tangram 1. It comes from the abandoned English word "tangram": a strange-shaped gadget; 2. Derived from the word Tang (China Tang Dynasty) with suffix-Gram (Greek for works); 3. It comes from the term "tanka", which means people on a coastal ship. In addition to providing food and washing clothes, they also provide some entertainment during the transportation ferry. There is a China puzzle made up of seven boards. The word Tangram evolved from tanka game (the game of others on board). All these statements seem to have some truth. Probably the original Tangram's strong interest and its entertaining explanation inspired the literary creativity of Sam Lloyd, a famous American puzzle solver. 1903, 6 1 year old, he wrote in the eighth tea cover book: "According to the introduction of the encyclopedia, the origin of jigsaw puzzles is extremely old. In China, as an amusement, its history can be traced back to 4000 years ago ... "Tangram is an outstanding creation of our ancestors. /kloc-At the beginning of the 0/9th century, Tangram spread to the west and was called "Oriental Magic Board". The development process is as follows: First, the picture of the swallow chicken in the Song Dynasty → the picture of the butterfly chicken in the Ming Dynasty → Second, the jigsaw puzzle from the early Qing Dynasty to modern times. Yan Ji Tu-Tangram's original face is "Yan Ji Tu", which means to entertain guests. Huang, a scholar in the Northern Song Dynasty, initiated this idea. He first designed six rectangular tables, which can be adjusted according to the number of guests at the banquet, and then added a small table. When all seven tables are put together, they will become a big rectangle, and the combination can be changed endlessly. It's almost like a modern jigsaw puzzle. Butterfly wings-Later, according to the principle of "swallowing a few pictures", Yan Cheng of the Ming Dynasty designed the "butterfly wings", which were spliced by thirteen different triangular pieces. Although Butterfly Wing was invented by Yan Cheng, it was indeed edited by Ge Shan in the Ming Dynasty in 16 17. It is the shape of a butterfly's spread wings, which can be combined into 100 patterns after being separated. Tangram Application Tangram-Modern Tangram is developed on the basis of "Yan Ji Tu" and "Die Ji". Tangram from other countries soon spread to Japan and Europe in the Ming and Qing Dynasties. 1805, the book introducing China Tangram has been included in the European bibliography. Japanese puzzles are slightly different from those in China, and should be formed by changing the central square of the butterfly pattern. Because Japan published the book "Learn to Speak Less Wisdom Board" in 1742, and the earliest existing book about Tangram in China-"The Picture of Qiqiao" was published in 18 13, so the Japanese think that Tangram was invented by the Japanese. Benefits and Uses Tangram has numerous benefits and uses. The following are the benefits and uses of Tangram: shape concept, visual discrimination, intellectual skills, visual memory, hand-eye coordination, encouraging openness, spreading thinking and creating opportunities. Tangram is a good partner to inspire children's intelligence, both ancient and modern. It can connect children with objects and forms, and has great development space for cultivating children's observation, imagination, morphological analysis and creative logic. It is widely used by parents to help children learn basic logical relations and mathematical concepts. It can help children understand the meaning of various geometric figures, numbers, perimeters and areas, and understand Pythagorean theorem. Tangram can also teach children to recognize colors and guide them to understand the division and synthesis of graphics, thus enhancing their hand intelligence, patience and observation. It can also be used to tell stories, connecting dozens of puzzle pictures into a coherent picture, and then telling stories to children like cartoons. Spell out a few cats, a few dogs and a house first, and you can tell a wonderful and touching story. Tangram is a kind of jigsaw puzzle, which uses seven wooden boards to spell out ever-changing image patterns in various ways. As shown in the picture, dividing a square board into seven pieces becomes a puzzle. These seven boards can be spliced into geometric figures, such as triangles, parallelograms and irregular polygons. It can also be spelled into various specific characters or animals, such as cats, dogs, pigs, horses, etc. Or bridges, houses, pagodas, or some Chinese and English characters, numbers and numbers. Usually, the jigsaw puzzle should be composed of all seven boards, and there should be lines between boards, such as points, lines or points and lines; You can play alone or several people at the same time. There are four ways to play jigsaw puzzles: ① forming according to the figure, that is, discharging the answers from the known figures; (2) instant typesetting, namely finding out one or more typesetting methods from known graphs; (3) Create your own graphics, and you can create your own new gameplay and compilation; ④ Mathematical research, using jigsaw puzzles to solve or prove mathematical problems. Tangram can be put together in different ways to form various geometric figures and images, such as bridges, boats, houses, pistols or people running, falling, playing, dancing and standing, as well as fish, cats and dogs. The operation of jigsaw puzzle is a divergent thinking activity, which is conducive to cultivating people's observation, attention, imagination and creativity. Therefore, it not only has entertainment value, but also has certain educational value, and has been applied to teaching. Tangram has attracted the interest of researchers in philosophy, psychology, aesthetics and other fields because it can be combined repeatedly and continuously, and is also used as an auxiliary means to make commercial advertisements and seals. How to make a puzzle is a very simple matter. The materials are just ordinary stationery: a pen, a ruler, a pair of scissors, a piece of cardboard (paper) and some colored pens. 1. First, draw a square on the paper and divide it into sixteen small squares. Tangram production figure 2. Draw a line from the upper left corner to the lower right corner. 3. Connect a line in the middle of the top to the middle of the right. Draw a line from the lower left corner to the upper right corner, and touch the second line to stop. Draw a line from the end of the line just now, and draw three quarters of the diagonal between the upper left and the lower right. In addition, draw a line at the quarter of the diagonal of the upper left and lower right, which is connected with the middle of the top. 6. Finally, paint them with different colors and cut them along the black line, and you have a brand-new puzzle.