Divide a line segment into two parts so that the ratio of one part to the total length is equal to the ratio of the other part to this part. The ratio is [5 (1/2)- 1]/2, and the approximation of the first three digits is 0.6 18. Because the shape designed according to this ratio is very beautiful, it is called golden section, also called Chinese-foreign ratio. This is a very interesting number. We use 0.6 18 to approximate it, and we can find it by simple calculation:
1/0.6 18= 1.6 18
( 1-0.6 18)/0.6 18=0.6 18
This kind of value is not only reflected in painting, sculpture, music, architecture and other artistic fields, but also plays an important role in management and engineering design.
Jiugongge:
"Jiugongge" is a boundary in the history of calligraphy in China, also known as "Jiugongge", that is, draw several large squares on paper, then divide nine small squares in each square, and practice calligraphy against the strokes of the model characters in the calligraphy book.
According to legend, Jiugongge was created by Ou Yangxun, a calligrapher in the Tang Dynasty. Ou Yangxun's Inscription of Liquan in Jiucheng Palace is a masterpiece in his later years, which is rigorous, vigorous and complete. It has always been praised as the "first official book" by scholars, with many imitators. In order to facilitate learners to practice Chinese characters, Ou Yangxun created a grid form of "nine squares" according to the characteristics of Chinese characters. Nine squares, the middle square is called "the middle palace", the upper three squares are called "the upper three squares", the lower three squares are called "the lower three squares", and the left and right squares are called "the left palace" and "the right palace" respectively, which are used to arrange appropriate parts according to the inscriptions and stippling, or to reduce or enlarge the font.
In the Yuan Dynasty, calligrapher Chen Yi further developed the nine palaces structure. He said in "Hanlin Yaoze" that in order to meet the requirements of boundary painting, such as density and stippling, separation of points and points, and uniform distribution, it is more convenient to copy the three palaces more accurately. According to the structural features and shapes of Chinese characters, Jiang Ji, a calligrapher in the Qing Dynasty, simplified the nine-square grid into four forms: First, the original nine-nine-eighty-one palace was changed from three horizontal and three vertical to six-six-thirty-six. Second, the left and right lines of the 36 th house are removed to form the 24 th house, which is suitable for writing rectangular characters; Or remove the upper and lower lines of the twelfth house to become the twenty-fourth house, which is suitable for practicing flat characters. The third and thirty-six rooms are deformed into double-back glyphs to write square characters. Room 4-36 is transformed into a herringbone. Diagonal lines are drawn from the same vertex of the above two rooms to form a herringbone, which is used to write characters similar to a herringbone. It seems that this is not easy. Through long-term practice, later generations have improved two concise and practical writing methods: one is Tian Zige, and the other is Mi Zige. Tian Zige drew a "10" in the box and divided it into four squares. According to this square, it is convenient to arrange the bookshelf structure, center of gravity and oblique density of strokes. On the basis of Tian Zige, Mi Zige drew two diagonal lines, which are shaped like a rice character. This square is similar to a spider's web, and it is easy to judge the position of the whole word and each single stroke when learning Chinese characters.
The above nine squares and nine squares are still used by beginners today. It is not only suitable for learning brush calligraphy, but also suitable for learning hard pen calligraphy. When you have mastered stippling, structure, momentum, etc., you can get rid of the shackles of "Jiugongge" and gallop freely.
In The Legend of the Condor Heroes, Huang Rong once cracked the nine squares. The formula is: wear one of nine shoes, three left and seven right, two or four shoulders, and six or eight is enough.