Mathematical problems of jigsaw puzzle

The Story of Tangram

-From Furniture to Toys

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

in the song dynasty, there was a man named Huang Bosi, who was very familiar with geometric figures. He was hospitable and invented a "banquet table" consisting of six small tables-a small table for inviting guests to dinner. Later, someone improved it into a banquet consisting of seven tables. According to the number of people eating, the tables can be put together into different shapes, such as three people putting together a triangle, four people putting together a square, and six people putting together a hexagon ... This will make it convenient for everyone and make the atmosphere better.

Later, someone changed the banquet from a few to only seven boards, and used it to puzzle and evolved it into a toy. Because it is very clever and fun, 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 together various auspicious patterns and words. The Palace Museum still preserved the jigsaw puzzle at that time!

In the 18th century, Tangram spread abroad, which immediately aroused great interest. Some foreigners played it all night and called it "Tangtu", which means "a jigsaw puzzle from China".

Tangram originated from an ancient measuring tool in China.

Tangram is the most popular and common classical 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 ancient measuring tool moment in China 4 years ago. Tangram is a game in which seven regular triangles and rectangles with different sizes are used to spell out wonderful figures with thousands of shapes. Because it uses seven-leaf jigsaw puzzle to make a picture, it is also called seven-clever picture. After it was introduced into Europe, it was called Tangtu, which was recognized as a smart 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 (1814). Sang Xiake said in the preface of "The Tangram Map is Continued": "The wonderful seven puzzles, also known as the ingenious map, originated from the Pythagorean method." After more than 3 years' research, Fu Qifeng proved that from the perspective of cultural mathematical origin, Tangram originated from people's understanding of the "moment" right triangle. "The most striking feature of Tangram is that all graphics are based on moments, and the game of Tangram can be said to be a game of moments," Fu Qifeng said. "Our ancestors had a special liking for moments, and they knew, studied and applied moments very early. The nature of moments and the application of Pythagorean Theorem were first discussed in China's ancient mathematical classics "Zhou Kuai Shu Jing" and "Nine Chapters Arithmetic", which played an extremely important role in the history of world science. " In the new book "The World of Seven Cleverges", Fu Qifeng provides 3, ancient books and answers of the Seven Cleverges collected over the years, 1, new pictures created by Fu Qifeng's parents, Fu Tianzheng and Zeng Qingpu, and 9 ingenious calligraphy.