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Mathematical problems in jigsaw puzzles
The story of tangram

-From furniture to toys

Have you ever played jigsaw puzzles? Those simple seven boards can spell out ever-changing figures. Who would have thought that this kind of toy evolved from an ancient furniture?

There was a man named Huang in the Song Dynasty. He was very good at geometry. He was hospitable and invented a "banquet table" consisting of six small tables-a small table for eating. Later, someone improved it into a seven-table banquet. According to the number of people who eat, the table can be put together in different shapes, such as three people putting together a triangle, four people putting together a square and six people putting together a hexagon ... so that everyone is convenient and the atmosphere is better.

Later, someone reduced the banquet to only seven boards, used it to puzzle and turned it into a toy. Because it is very clever and interesting, people call it "Tangram". In the late Ming and early Qing dynasties, people in the palace often used it to celebrate festivals and entertainment, and put all kinds of auspicious patterns and words together. The Palace Museum still keeps the puzzles of that time!

/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".

Tangram originated as a measuring tool in ancient China.

Tangram is the most popular and common classic intellectual toy in China. Fu Qifeng, the most authoritative tangram expert in China, pointed out in her latest monograph "The World of Tangram" that the tangram should come from the measuring tool moments in ancient China 4000 years ago. Tangram is a game that uses seven regular triangles and rectangles of different sizes to spell out thousands of wonderful shapes. Because it is made up of seven-leaf puzzles, it is also called seven-clever painting. After it was introduced into Europe, it was called Tangtu, which was recognized as an intelligent game created by China people in the world. The earliest record of Tangram in history can be found in the 19th year of Jiaqing in Qing Dynasty (18 14). In the preface to Xú Zhēng's jigsaw puzzle map, Sanchak said: "Qiao Qi's cleverness, also known as Qiaotu, originated from Pythagoras' method." After more than 30 years' research, Fu Qifeng proved that Tangram originated from people's understanding of "moment" right triangle from the perspective of the origin of cultural mathematics. "The most striking feature of Tangram is that all graphics are based on moments, and the game of Tangram can be said to be an instant game," said Fu Qifeng. "Our ancestors had a soft spot for moments, and they knew, studied and applied them very early. The nature of moment and the application of Pythagorean theorem were first discussed in China's ancient mathematical masterpieces Zhou Kuai Shu Jing and Nine Chapters Arithmetic, which have an extremely important position in the history of world science. " In the new book "The World of the Seven Fairies", Fu Qifeng provided 3,000 ancient books and answers of the Seven Fairies collected over the years, as well as 1000 new pictures created by Fu Tianzheng and Zeng Qingpu, and 900 original calligraphy works.