Variations of Tangram from ancient times to the present 20

In the Song Dynasty, there was a man named Huang Bosi, who was very interested in geometric figures, and he was hospitable, inventing a kind of "banquet table" composed of six small tables - a small table for inviting guests to dinner.

Later, some people improved it into a banquet table composed of 7 tables, which can be put together into different shapes according to the number of diners, such as 3 people into a triangle, 4 people into a square, 6 people into a hexagonal ......In this way, it is convenient for everyone and the atmosphere is better.

Later, someone changed the size of the banquet table to only seven boards, used it to puzzle pieces, and evolved into a toy. Because it's so clever and playful, people call it "Tangram".

At the end of the Ming Dynasty and the beginning of the Qing Dynasty, people in the palace often used it to celebrate festivals and entertainment, spelling out various auspicious patterns and words, and the Palace Museum still preserves the tangram at that time!

In the 18th century, the tangram was spread abroad, and it immediately aroused great interest, and some foreigners played with it all night and called it "Tang Tu", which means "puzzle from China".

Development process: first the swallow table of the Song Dynasty evolved into the butterfly wing table of the Ming Dynasty, and then the tangram from the early Qing Dynasty to the modern day.

1. Yan Ji Tu.

Tangram's original face is "Yan Ji Tu", Yan Ji means to greet guests with a table of banquets, the person who triggered this idea is the Northern Song Dynasty Jinshi Huang Bosi, he first designed six rectangular cases, in the banquet can be appropriately adjusted according to the number of guests, and then add a small table, seven pieces of cases are all put together, will become a large rectangle, separate and combined with infinite changes. It's not much different from modern tangrams.

2. Butterfly wings.

Later, in the Ming Dynasty, Geshan designed the "butterfly wings" according to the principle of "swallow several pictures", which is composed of thirteen different triangular cases, which are put together in the shape of a butterfly spreading its wings, and can be put together into more than 100 kinds of graphics after separation.

3. Tangram.

The modern tangram is developed on the basis of "swallow diagram" and "butterfly wing".

Rules of the game. Tangram is a jigsaw puzzle game that uses seven pieces of board to assemble a kaleidoscopic pattern in a variety of different ways.

A square board is divided into seven pieces as shown in the figure, and it becomes a tangram. These seven plates can be used to build geometric shapes, such as triangles, parallelograms, irregular polygons, etc.; It can also be spelled into a variety of specific human figures, or animals, such as cats, dogs, pigs, horses, etc.; Or a bridge, a house, a pagoda, or some Chinese and English symbols and numbers.

Tangram** in the Northern Song Dynasty "Yan Ji Tu". Yan Ji means to greet guests for a banquet, designed by the Northern Song Dynasty Jinshi Huang Bosi, he first designed six rectangular tables, in the banquet can be appropriately adjusted according to the number of guests. Then a small number was added, and all seven cases were put together, which would become a large rectangle, and the combination could be infinitely varied.

Later, Yan Cheng of the Ming Dynasty designed the "Butterfly Wings" in accordance with the principle of "Yan Ji Tu", which was composed of thirteen different triangular cases and put together. Although the butterfly wings were invented by Yan Cheng, the "Butterfly Spectrum" was compiled by Ge Shan of the Ming Dynasty in 1617. It is the shape of a butterfly spreading its wings, and when separated, it can be put together into more than 100 kinds of figures.

The modern tangram is developed on the basis of "swallow diagram" and "butterfly wing".

Tangram gameplay.

1.Shape by diagram, i.e. to line out the answer from a known figure.

2.See the shadow pattern and find one or more types of arrangement from the known shapes.

3.Create your own graphics, you can create new ways to play and arrange by yourself.

4.The study of mathematics, the use of tangrams, to solve or prove mathematical problems. Tangrams can be assembled and combined in different ways to form a variety of geometric shapes and images, such as bridges, boats, houses, pistols, etc.

The origin of the tangram is not yet determined, and it is called the name of the stove next to it, and it is called in the West Hidden Oak"Tang Tu"(tangram)。

It is certain that the tangram and its similar games such as swallow diagrams, butterfly diagrams or puzzle diagrams were widely popular among the people in the Ming and Qing dynasties.

Therefore, the invention of the tangram may have originated in the late eighteenth and early nineteenth centuries.

Take the right half of the butterfly in Figure 2, and then cut two knives and reassemble it to form a tangram.

Tangram soon spread to Japan and Europe.

The European bibliography of 1805 already includes a book on the puzzle of Chinese tangrams.

The Japanese tangram is divided in a slightly different way, and it is supposed to be a variation of the central square using the butterfly method.

Since Japan published the book "Qing Shao Nayan Wisdom Board" in 1742, and the "Tangram Diagram" that can be found in China was published in 1803, Japan believes that the Tangram was not transmitted from China.

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Tangram comes from the "Yan Jitu" of the Northern Song Dynasty. Yan Ji means to greet guests with a table for banquets, designed by Huang Bosi, a Jinshi of the Northern Song Dynasty, who first designed six rectangular tables to sell a table, which can be appropriately adjusted according to the number of guests during the banquet. Later, a small number was added, and the seven cases were put together, and they would become a large rectangle, which could be changed infinitely when combined separately.

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First, the swallow table of the Song Dynasty evolved into the butterfly wing table of the Ming Dynasty, and then the tangram from the early Qing Dynasty to the modern day.

Yan Ji Tu - Tangram original face is Yan Ji Tu, Yan Ji means to greet guests with a table table, the person who triggered this idea is the Northern Song Dynasty Jinshi Huang Bosi, he first designed six rectangular tables, in the banquet can be appropriately adjusted according to the number of guests, with the dust to add a small number, seven pieces of cases all put together, will become a large rectangle, separate combination can be infinitely varied. It is almost the same as the modern Qihong Qi Zen Qiaoban.

Butterfly Wings - Later, the Ming Dynasty Geshan designed the Butterfly Wings according to the principle of the Yan Ji Tu, which is composed of thirteen different triangular cases, which are put together in the shape of a butterfly spreading its wings, and can be put together into more than 100 kinds of shapes after separation.

Tangram - The modern tangram was developed on the basis of the swallow table and the butterfly wing.

Other countries: Tangram soon spread to Japan and Europe during the Ming and Qing dynasties. By 1805, European bibliographies already included books on Chinese tangrams.

The Japanese tangram is slightly different from the Chinese one, and it is supposed to be a variant of the central square using the butterfly method. Since Japan published the book "Qing Shao Nayan Wisdom Board" in 1742, and the earliest surviving book about tangram in China, "Tangram Combination", was published in 1813, the Japanese believe that the tangram was invented by the Japanese.