Shao Yong was one of the founders of Neo-Confucianism in the Song Dynasty. He had a unique understanding of classics such as " Zhouyi " and the Sixty-Four Hexagrams. The basic spirit of his " Huangji Jingshi Shu " was to understand the ways of the heavens. Based on personnel matters. Shao Zi once said: Although the picture has no text, I will never leave it without talking about it. In the Huangji Jingshi, there are many diagrams that are difficult for future generations to understand because they are not accompanied by detailed text explanations. "All the diagrams of Yaofu's hexagrams have no text, and the Tai Chi diagrams are not transmitted, which are hidden secrets." Because Shao Yong understands human nature, he is afraid that people will fall into the realm of fortune-telling and be unable to extricate themselves, and ignores the mathematical principles contained in the diagram itself. This is one reason why he did not write down the principles.
In the scholarship passed down by Shao Zi, there are many calculation methods about the charts of heaven and earth. After his death, until modern times, only a few people understand the evolution and usage of these charts, such as hanging a chart, Lu Lu chart ...
The mathematics of Huangji Jingshi is a very large system. It is the source of Shaozi's discussion of Fuxi Bagua from the Book of Changes. It is an exhaustive algorithm that can evolve the eight numbers in the innate Bagua. Therefore, if you only understand Shao Zi’s book from the perspective of Yi and Li, you will never be able to understand or understand it. The inner part of Observing Things and the outer part of Observing Things, one is about reasoning and the other is about numbers, they are two sides of the same body, forming an organic whole. And Yixiang is embedded in Yishu. Although Yizhan has not been seen in Huangji Jing world, but if Xiangshu is understood, Yizhan will be the last one. Therefore, Shaozi said: When using hexagrams, it is not necessary to use hexagrams. You must work within the hexagrams. Even when you use hexagrams, the use of hexagrams is still wrong.
You can evolve hundreds of millions of numbers by just using eight numbers. You can figure out these numbers by just using five counting sticks. This was still possible when there were no computers at the time. The computer used 0, 1, Abacus uses 5. Endless changes have evolved between calculations and hexagram paintings. These changes are not just rigid and simple numerical calculations, but are combined with celestial phenomena, and Yili is among them.
Let’s briefly introduce the diagrams in Huangji Jingshi:
Youji Diagram
When studying traditional culture, we often hear the words "Wuji", "Taiji", etc., so what is "Youji"?
series of words: Yi You Tai Chi. The ancients used the word "Tai Chi" to express all the things they could see and perceive. In modern terms, this is called "world view".
The ancients looked up at the sky and geography, and found that there were certain laws and connections between all things. In order to survive better, they needed to record and master the laws of nature. The biggest phenomenon that the eyes can see is the movement and changes of celestial bodies, that is, celestial phenomena. The most obvious thing that can be perceived by the five senses is the change of day and night and . The most significant influence in the solar system is the celestial sun. Based on the area that the sun's light can affect, everything is divided into two elements, namely: Yin and Yang attributes. Everything has two sides. Yin cannot be born alone, and yang cannot grow alone. Yin and yang combine to transform things, so the harmony of all things is precious.
Tai Chi includes all things as "being", and this concept, which cannot be fully seen by human eyes, is defined as "nothing". You can't see it all, you can't feel it, so it's called "philosophy." But what is invisible to the naked eye does not necessarily exist, so yarrow occupies the middle, and the number of Dayan is fifty and one, and the forty-nine roots are used, which is called "hanging one".
Therefore, 128 hexagrams and 768 lines are used as the innate hexagram numbers to form a square and circle diagram, which is a metaphor for the changes in the heaven and earth. Using 64 hexagrams and 384 lines, it becomes sixty-four hexagrams. The square and circle diagram is regarded as the "pole diagram", which is the whole of Tai Chi, and the numbers in the diagram are used to deduce the evolution rules of the innate phenomena and numbers. The circle diagram represents celestial phenomena, and the square diagram represents vertical numbers.
divided into two pictures
When the ancients had "Tai Chi" and "Youji" in their world view, the law of "Yin and Yang" began to be derived, that is, " Liang Yi ". Therefore, the "Book of Changes": It is the birth of two rituals.
Tai Chi judgment, Liang Yi points. Therefore, the yarrow occupies the middle: the yarrow is divided into two, making two elephants.
In the case of two yin, when the yin and yang qi are separated but not united, sometimes there is no hexagram and no line.When the universe and the earth intersect to form " Tai Gua ", and after Kan and Li intersect to form "Ji Ji Gua", all things will begin to change and come into being.
Jiaotai Tu
"Book of Changes": Two instruments produce four images , and four images produce Bagua.
After the universe intersects, everything begins to be generated and the sequence begins to run. Named after "Jiaotai", the first yuan starts from the winter solstice, and the yuanhui luck starts from the spring equinox.
Looking at the hexagram numbers and policy numbers:
Qian has 36 yang and 12 yin;
Xunli Dui has 28 yang and 20 yin;
Kun has 36 yin and 12 yang;
Zhenkangen has 28 yin and 20 yang.
Each hexagram has a total of 48 numbers as the base number:
The combination of Qian Yang and Xun Li Dui Yang is 64, and the combination of Qian Yin and Xun Li Dui Yin is 32. The combination of Kun Yin and Zhen Kan Gen Yin is 64, and the combination of Kun Yang and Zhen Kan Gen Yang is 32.
The combination of Qian Yang and Kan Gen Yang is 56, and the combination of Qian Yin and Kan Gen Yin is 40. Take Kun Yin combined with Xun Li Dui Yin as 56, Kun Yang combined with Xun Li Dui Yang as 40.
The number of innate lines is not linked to one, and the yin and yang are both used to be seven or nine; the number of acquired lines is linked to one, and the yin and yang are divided into seven, eight, nine, and six. Therefore, the innate is the body of Yi, and the day after tomorrow is the function of Yi. The innate diagram is 128 hexagrams, and the acquired diagram is 64 hexagrams.
jiji diagram
The four figures of Qian, Kun, Kanli and others intersect into the Eight Diagrams. The intersection of the Eight Diagrams creates the number of all things, which is called the "number of living things" and is named after " Jiji".
The peace between heaven and earth is achieved, and the peace between heaven and earth is achieved. Qian and Kun are intertwined into the functions of the four seasons, and Kanli are intertwined into the number of living things. Therefore, the four images of heaven and earth in the world map are divided into: sun, moon, stars and wood, fire, earth and stone. The four seasons of the sun, moon, stars, heaven and earth, the number of living things such as wood, fire, earth and stone.
Hang one picture
"Book of Changes": Hang one to resemble three.
Take three of the four images of heaven and earth for use. Yuan Hui Yun Shi: Yuan Jing Hui, Hui Jing Yun, Yun Jing Shi. Tai Chi does not rely on existence or non-existence. The number of Dayan is fifty and one is empty and the forty-nine roots are used as the number for calculation. The empty one is used for Taixu.
Fifty is the body of Dayan, empty one is the purpose of Dayan, divided into two images, it is the shape of Yin and Yang duality, the change of hexagram number is the change of Yin and Yang, the change of Yin and Yang is the movement of Yin and Yang, the movement of Yin and Yang is the movement of sun and moon, the movement of sun and moon Movement is the movement of celestial bodies.
1=3-2, 3=2+1. Therefore, there are 128 hexagrams in the Xiantian Square and Circle Diagram, and 64 hexagrams are used. One disappeared but three lived in two places, taking one's place for use. This is the meaning of "hanging one".
Heaven, earth and people use three, and people living in one of them think it is expensive. Qianduili Zhenxuyi and Xunkan Genkun, so the sun, moon and stars are Xuyi and water, fire, earth and stone.
hangs a picture with a line number of 1536 and a hexagram number of 256. Yarrow occupies the center, and the number "Four Pulls" is seven, eight, nine, and six, which is used as a number for heaven and earth. After "Four Pulls", it is "return to Qi and cut it to symbolize a leap", "cut it again and then hang it". After a leap and a leap, it is a civilian object. Use numbers, heaven and earth use numbers.
seven eight ninety six, we have mentioned the origin before. Repeat the process of "Guiqi" and divide the two piles of yarrow , and you will get the following results:
The first situation: 544, "Gua 1" first represents the human strategy, leaving the heaven and earth strategies. In order to get rid of three, use nine;
The second situation: Jiu Ba Ba, "Gua 1" first represents the human policy, leaving the heaven and earth policy. In order to get rid of the six, use six;
The third situation: 548, "Gua 1" first represents the human strategy, leaving the heaven and earth strategy. In order to remove the four and use the eight;
the fourth situation: 944, "Gua 1" first represents the human policy, leaving the heaven and earth policy. In order to eliminate the four and use the eight;
the fifth situation: Jiu Si Ba, "Gua 1" first represents the human strategy, leaving the heaven and earth strategy. In order to remove the five and use the seven;
the sixth situation: 588, "Gua 1" first represents the human policy, leaving the heaven and earth policy. In order to eliminate the five and use the seven;
, there is a picture inside the Huangji Sutra, which imitates the principle and process of yarrow divination. The numbers are enlarged and the changes in the innate numbers of the 256 hexagrams are used to express the changes in the movement of yin and yang within a year. The four lines are used to make one movement, the solar terms are used as leap numbers, spring, summer, autumn and winter are used as the sun, moon and stars, and the day is divided into days, hours, minutes and seconds to jointly express the changes in cold and heat day and night . The cycle can express one year or one yuan ( 129,600 years).
Bagua changes chart
In the innate Bagua, Qian Dui Li Zhen is Yang, with a number of 1234; Xunkan Gen Kun is Yin, with a number of 5678.
In the Huangji Jingshi system, Qian Dui Li Zhen represents the variables of the sun, moon and stars; four-image runs in the four seasons, and there are Bagua changes in it. Then the changes in this Bagua can express the changes in day and night time within a year, biological changes, and can also express the changes in the alternation of day and night between cold and heat in the long cycle of one yuan. This is the world view of Huangji Jingshi.
The numbers of the four seasons and the numbers of living things are all unified into one wall chart.
There are many diagrams of changes in hexagram paintings in Huangji Jingshi, which can be said to exhaust the knowledge of the changes in hexagrams in successive days. Its main purpose is to predict people with images and numbers, and to show people the changes in historical cycles. Shaozi's works have a great understanding of the changes in hexagrams in the Song Dynasty. The development of Neo-Confucian has played a great role in promoting the development of Neo-Confucianism. Although is easy to understand, has the most intuitive and important impact on human society. However, it is difficult to understand the problems of mathematics through Neo-Confucianism alone.
