The Digital Mystery of Hutulo's Works

The expression of Hutuluo's calligraphy is the numerical relationship, which inevitably reflects the ancient mathematical level of China. Among them, the digital composition principle of Hetu and Luoshu is a very wonderful problem in itself.

First of all, let me talk about the first point, the principle of digital composition of river map. The numerical arrangement of River Map shows that in the Enlightenment of Yi Xue written by Zhu in the Southern Song Dynasty, one and six lived in the north, two and seven lived in the south as friends, three and eight lived in the east, four and nine lived in the west as friends, and five and ten were in the middle. -Zhu in the Southern Song Dynasty, Yi Xue Enlightenment

It is expressed as "one lives in six northern families, two in seven southern friends, three in eight eastern friends, four in nine western friends, and five in ten." That's what it means. This is a map of the river, Tu Tu, and a map of the river. Use a number to express the positional relationship, that is, write it as a number. This is what Zhu said.

"One and six live in the north, and two and seven live in the south to be friends." This is the south of the world. "Three and eight live in the east, four and nine live in the west as friends, and five and ten live in the middle." This is the numerical state arrangement of the river map.

How did the river map of this state come into being? That is to say, what rules is the arrangement process based on? This problem was described as "Yang moves and Yin is static" and "Yin is static and Yang moves" in Li Guangdi's Yi Jing Compromise in Qing Dynasty-the principles of "Yang moves and Yin is static" and "Yin is static and Yang moves" in Yi Jing Compromise.

That is to say, among the ten natural numbers from one to ten, odd numbers are yang and even numbers are yin. Of the ten natural numbers from one to ten, odd numbers are positive and even numbers are negative. River chart and Luo Shu are both formed by the regular changes of odd and even numbers. Then let's look at what Li Guangdi said, "Yang moves and Yin is static", which is what it means. Li Guangdi thinks that the graphs of this river map are arranged in numbers.

It's ten numbers, with five and ten in the middle, and then four directions, from the beginning, from the top, and two numbers on one side, from the outside to the inside. Then press clockwise, that is, turn right, once or twice from outside to inside, three or four times from outside to inside, six or seven times from outside to inside, and eight or nine times from outside to inside.

These eight numbers are distributed like this, in all directions. So the yang shifts to the yin, that is, after the arrangement, one and seven are positive numbers, and the yang shifts, that is, the odd number shifts one and seven to exchange positions. This was originally moved from the top to the bottom, and seven were originally moved from the bottom to the top. Left, right, left, right, three, nine.

Switch places. This three and nine are exchanged like this. As a result of this exchange, at the bottom, 16 people live in the north, 27 in the south, 38 in the east and 49 in the west. This is the numerical arrangement of the river map. That's what the so-called "yang moves and yin is static" means. That is, odd numbers move and even numbers don't move. "Yang Jing Yin Dong" and "Yang Jing Yin Dong" are just the opposite.

The arrangement is from bottom to top, from bottom to top, and from inside to outside. One, two, this is three, four, six, seven, eight, nine. This starting point is different, and it is also arranged clockwise from the bottom. This arrangement method. After arrangement, the yang is static and the yin is dynamic.