What is the origin of "Luoshu" and "Hetu", and what is their profound meaning?

Luoshu was called the Turtle Book in ancient times. It is said that a divine turtle came out of Luoshui. There is this image on its carapace. The structure is to wear nine shoes, three on the left and seven on the right. Two and four are shoulders, and six and eight are Foot, with five in the center, the white circles in the five directions are all yang numbers, and the black spots in the four corners are yin numbers. Previous people pointed out that the Luo Shu number comes from the ninth palace under the tai, and uses forty-five to represent the star. The Nine Palaces and Eight Winds diagram cooperates with the Eight Winds and Bagua. The central palace, which is the middle palace of Luoshu, is the core of the surrounding eight palaces. The ancients observed the astronomical phenomena and believed that the North Star (Tai Yi) always resides in the north and can be used as the center and positioning standard. The Nine Palaces are pointed by the handle of the Big Dipper, and the nine brightest stars in the celestial body are found as symbols. It is convenient to use the handle to identify the directions and find the positions and numbers of the nine stars, which are the positions and numbers of the Luoshu. How can the North Pole be in the middle of the ninth house? The predecessors pointed out that the body is the North Pole, which is used in the Beidou, and the Dou is the imperial chariot. It is said that the Beidou is the chariot that the Arctic Emperor Star rides on. Because the Beidou rotates around the North Pole, it is the image of the Arctic Emperor Star riding in all directions. If according to The position of the eighth house of the spiral finger of the bucket handle can be used to deduce the weather changes in the four seasons and eight seasons, that is, nine represents different time sequences. Luo Shu uses the North Pole as the positioning star, and the brightest star in the nine directions pointed by the bucket handle as the symbol. Its number and orientation are exactly the same as Luo Shu. This is what is often referred to as the "nine palaces" in general magic (Qimen Dunjia uses these nine palaces as the cornerstone). Among them, the odd numbers one, three, seven, and nine are Yang, two, four, six, and eight are Yin numbers, and five is in the middle palace. This is a standard Luo Shu. In Luoshu Jiugong numbers, one, three, seven, and nine are odd numbers, also called yang numbers, and two, four, six and eight are even numbers, also called yin numbers. The yang number is the main one, ranking in the four positive directions, representing the weather; the yin number is the supplement, ranking in the four corners, representing the earth's energy; the fifth number is in the middle, belonging to the earth's energy, and is the ancestor of the five elements. It is located in the middle palace and brings prosperity to the four corners. Three points can be drawn from this: 1. The Nine Palaces of Luoshu are formed by observing the Taiyi Chariot, that is, the handle of the Big Dipper facing the four directions and four corners from the center. two. The close relationship between the Nine Palaces of Luoshu and the yin and yang changes of Bagua is proposed. three. It clarifies the seasonal shifts and weather changes of the four o'clock and eight solar terms and the twenty-four solar terms caused by "Taiyi Palace". Laws of Numbers So does the Hetu Luo Book really contain the principles of the universe? What is its content? I can only talk about Luoshu here, that is, the Nine Palaces Picture. A detailed explanation of the arrangement of numbers in the Nine Palaces Chart may reveal some truth. First of all, the sum of the numbers in the Nine Palaces Chart is equal to fifteen. I am afraid everyone knows this. Even the sum of the horizontal, vertical, and diagonal numbers equals fifteen. 4+9+2=15 3+5+7=15 8+1+6=15 4+3+8=15 9+5+1=15 2+7+6=15 4+5+6=15 2 +5+8=15 In addition, what other numerical mysteries are there? a+b+c=d+e+f a^2+b^2+c^2=d^2+e^2+f^2 Let's take 438 in the left column and 276 in the right column as examples to illustrate. When we add the numbers in descending order to two digits, the sum of the numbers in the left and right columns is still equal. That is 43+38+84=27+76+62. The gradient from bottom to top still holds. That is 83+34+48=67+72+26. It is still the same when it is gradually converted into three digits, that is, 438+384+843=276+762+627. Counting from bottom to top still holds, that is, 834+348+483=672+726+267. It continues to change in this way to four digits, five digits, six digits, one hundred digits, and one thousand digits and still holds true. The magic is not here yet. What is even more amazing is that whether it is one digit, two digits or three digits, the sum of the squares can still be equal to the left and right. For example, a two-digit number is 43^2+38^2+84^2=27^2+76^2+62^2. The sum of squares of three-digit and four-digit numbers can still be established. In other words, it can be established whether it is a hundred or a thousand places. The magical arrangement of this number really amazed me. Another way is to use the determinant method to calculate the Nine Palaces chart, and you can get a week number of 360. In front of these numbers, I can't imagine that such a number row has incredible magic power. det[4, 9, 2; 3, 5, 7; 8, 1, 6]=360 It is such an arrangement of nine palace numbers that solved the strange mathematical problem raised by American mathematicians, the problem of strictly equal sums of squares. At that time But there are weird mathematical problems that no one can solve, not even computers can do anything about. As a result, it was overcome by Professor Peng Shaoding of Mathematics who studied Luo Shu.

"Jianyi Jing" records: "Dingshu says: one is simple, two is easy, three is Tao, four is virtue, five is it, six is ??combined, seven is separated, eight is born, and nine is restrained." "One slip has water, Liuhe has earth and is cold, so it is winter, so it lives in the north. Two Yi has sun, seven Li has fire and it is located in the south, so it is summer, and it lives in the south. Three Dao has Qi, and eight has wood and is prosperous, so spring , located in the east. The four virtues are successful, and the gold is in the west. The five classics are in the middle, and the earth is sufficient. "There are many things recorded in this book that are different from those described in other related books. The compiler of the "Simple Classic" believes that the records in the "Simple Classic" are the most original and accurate. The name of the picture drawn by Fuxi in the "Jiuji Jing" is Simplified Picture, which is the same main picture as the Bagua picture that people know now. Later people added the eight characters "Qiankangenzhenxunlikundui" and it became the Bagua picture. The theory of simple diagrams is only recorded in the "Jianyi Jing". The definition of Hetu is also different from what is stated below. In short: Hetu and Luoshu were generated from the observation of astronomical phenomena, and became precious treasures of the emperors during the Three Dynasties period. The Hetu and Luoshu have a simple structure and are one of the cultural cornerstones of ancient China. Liao Ping, a classical scholar in the Qing Dynasty, repeatedly verified the Book of Songs, the Book of Changes, and the Neijing, and confirmed that the theory of the Nei Jing was based on the Book of Changes, while the mathematics of the Book of Changes depended on Heluo.

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