Five squares (and 65)
17 24 1 8 15
23 5 7 14 16
4 6 13 20 22
10 12 19 2 1 3
1 1 18 25 2 9
Seven squares (and 175)
30 39 48 1 10 19 28
38 47 7 9 18 27 29
46 6 8 17 26 35 37
5 14 16 25 34 36 45
13 15 24 33 42 44 4
2 1 23 32 4 1 43 3 12
22 3 1 40 49 2 1 1 20
Jiugongge (and 369)
47 58 69 80 1 12 23 34 45
57 68 79 9 1 1 22 33 44 46
67 78 8 10 2 1 32 43 54 56
77 7 18 20 3 1 42 53 55 66
6 17 19 30 4 1 52 63 65 76
16 27 29 40 5 1 62 64 75 5
26 28 39 50 6 1 72 74 4 15
36 38 49 60 7 1 73 3 14 25
37 48 59 70 8 1 2 13 24 35
This is the arrangement diagram of 8 1 square, from which we can find the rules.
Write 1 in the middle of the first line, then move down to the bottom, move one space to the right and write down 2, and finally write it to the upper right.
Then pan to the far left, move up one space and write in the upper right corner. When you meet a number, write down a space and continue to write to the right.
According to this rule, you can write any odd square grid.
Nine palace map
There is such a description in the 29 th episode of The Legend of the Condor Heroes, Black Marsh and Tibetan Women:
The woman was so depressed that she shook her body a few times. Suddenly, she fell into the fine sand, holding her head in her hands and thinking hard. After a while, she suddenly looked up and her face lit up. She said: "Your algorithm is naturally 100 times better than mine, but I ask you: arrange nine numbers from one to nine in three columns, regardless of the vertical and horizontal oblique angles, and every three words add up to fifteen." How to arrange them? " Huang Rong thought, "My dad runs Peach Blossom Island, and the five elements have changed. How delicate is it? This nine-palace method is the basis of the Peach Blossom Island Array. Is there any reason not to know? " At the moment, I whispered: "Nine palaces mean that the tortoise is the shoulder, six or eight is the foot, left three and right seven, nine shoes one and five are in the middle." While talking and drawing, I drew a picture of Nine palace map in the sand. The woman turned pale and sighed, "I only know that this is my original secret method and there are songs that have been circulating for a long time." Huang Rong said with a smile, "It's not surprising that there are four or four pictures, five or five pictures and even a hundred poems. Let's say four or four pictures. Sixteen words are arranged in four rows. First change four corners, one for sixteen, four for thirteen, then four corners, six for eleven and seven for ten. This horizontal and vertical oblique angle adds up to 34 degrees. " The woman drew according to the law, which is really good. Huang Rong said, "Then each of the nine palaces can be turned into eight diagrams, eight or nine hundred and seventy-two, and one circle around the nine palaces. Each circle is a figure of eight, and there are four circles at the junction, making a total of thirteen circles. The numbers in each circle add up to 292. I'm afraid you don't know how wonderful this Luo Shu map has become. " Raise your hand and draw 72 on the sand.
2 9 4
3 5 7
6 1 8
The above table is a diagram of Huang Rong's Nine Palaces. In the novel, Ying Gu devoted herself to studying it for many years, thinking it was a "unique secret method", which shows that the problem is still difficult. Can we answer Nine palace map with what we have learned in mathematics? The answer is naturally yes. Faced with this problem, let's first analyze:' No matter the vertical and horizontal oblique angles, every three words add up to 15'. It can be seen that the median in the ninth house is the most important number, and it is most used in vertical and horizontal oblique angles. So let's start by solving this number.
y z 15-y-z
x
15-z-x
In the above table, let the middle cell be X, the upper left corner be Y, and the upper middle layer be Z. Since the vertical and horizontal oblique angles add up to 15, the lower right corner is 15-x-y, the upper right corner is 15-y-z, and the lower middle layer is15-z-x.
Seen from the oblique angle, the lower left corner is:15-(15-y-z)-x.
Have:15-(15-z-x)-(15-x-y) =15-(15-y-z)-x.
To solve this equation, x=5.
This shows that no matter what number it is (not necessarily 1 to 9), if it is to be arranged in Nine palace map, the sum of vertical and horizontal angles is 15, and the middle number must be 5.
After solving the intermediate number, according to the above analysis, the number of four angles should be determined next, because the number of four angles is used more in the addition of vertical and horizontal oblique angles.
Since 1-9 is a natural number, we can simply use the parity of numbers for logical reasoning to determine the parity of four angles.
Odd parity check
Even odd number
Even odd odd even odd
Let's assume that the number in the upper left corner is odd, because the number in the middle is 5 (odd) 15 (odd) → the number in the lower right corner is odd.
Suppose there is an odd number in the middle of the upper layer → an odd number in the upper right corner → an odd number in the lower left corner. In this way, the ninth house has six odd numbers, while 1-9 has only five odd numbers, which is obviously impossible, so when the upper left corner is odd, there can be no odd number in the middle of the upper layer.
Which upper floor is even in the middle? Uniform in the upper middle → uniform in the upper right corner → uniform in the lower left corner → uniform in the left middle, uniform in the middle and lower middle. So it is impossible for the ninth house to have five even numbers.
Because the upper left corner is odd, the upper middle corner is neither odd nor even, so it is not true that the upper left corner is odd, so it must be even.
Make sure the number in the middle is 5 and the number in the corner is even, and the problem will be solved. Add two even numbers to two of the four corners at will, and the rest will be filled in.
Nine modes of ancient music in China
According to legend, after Fu won the world, he jumped out of the Yellow River on a dragon horse with a picture on his back, and the dragon horse dedicated this picture to Fu, so the river map is also called the Yellow River map. As for Luo Shu, it is said that when Dayu was in charge of water control, a turtle appeared from the water, carrying a book of nine numbers on his back, which he also dedicated to Dayu. It is said that this river map and Luo Shu both imply the truth of governing the country, so that these two sages can understand how to govern the country.
In the Song Dynasty, some people associated River Map, Luo Shu with the so-called "Nine Palaces". For example, Liu Mu mentioned in Yi Shu Diao Yin that the river map is the "Nine Palaces" and Luo Shu is a "map of several days" arranged by dozens. However, in the Zhu era, in the heyday of Neo-Confucianism, people turned the views of He Tu and Luo Shu upside down, thinking that Luo Shu was a digital magic circle with one to nine rows of examples in vertical, horizontal and oblique directions, and the sum of the numbers in all directions was fifteen, while He Tu was a series of numbers added from one to five, which was also said by later generations to be the origin of the mystery of China's mathematical magic circle. In divination, astrology or geomantic omen, the river map and Luo Shu often become the source of his theory, which can be said to be the root of China's "five skills" (mountain, medicine, life, physiognomy and divination).
Cheng Chunsheng (alias Tianxiang) is the founder of Jiugong Theory.
Jiugong divination originated from Jiugong theory. In modern times, Mr. Cheng Chunsheng reinterpreted and innovated Jiugong theory. His name is Tianxiang, so some people call it Cheng Tianxiang.
Although Mr. Cheng Tianxiang studied mechanical engineering at school, he devoted himself to it because of his love for Chinese medicine and China's Five Techniques. 1964, when he was farming in Lishan, he realized the humanity and fleeting fortune in the theory of nine palaces. 1968, I learned about the power and disaster of enlightenment and change; 1969 analyzed the magnetic field of marriage relationship, and 1972 integrated the theories of opportunity point, interpersonal relationship, financial palace and jiugong divination, thus bringing the so-called "jiugong theory" into a more complete realm and more in line with the trend of the times.
1973, Mr. Cheng Chunsheng officially started to work as a theoretical analyst of Jiugong. 1979 officially taught Jiugong theory, and tens of thousands of people have studied it so far.
Differences between Jiugong Theory and Traditional Naming Theory
The origin of the naming of "Jiugong Theory" is mainly Mr. Cheng Tianxiang. When he studied Luo Shu, he realized from the changes in nature that the nine people had their own unique chance points, so he named it "Jiugong Chance Point", which is also the main axis of Jiugong Theory.
Because the theory of Jiugong divination, the basis of modern Jiugong divination, was mainly founded by Mr. Cheng Tianxiang and since the enlightenment, although its analytical framework based on names (so it is also called Jiugong nomenclature), it is definitely different from the nomenclature based on the Book of Changes or the five behaviors, and it has the opportunity to point out, deduce and analyze the potential of financial palaces or life, and it is also different from the general nomenclature analysis. As for the general Book of Changes, there are 64 hexagrams, while Jiugong hexagrams have 90 hexagrams, which is also its greatest feature.
Matters needing attention in divination of Jiugong hexagrams
Jiugong theory can be used to analyze people's names and lives, and Jiugong hexagrams is a divination method derived from it. Like many divination methods, there are also some precautions when divining Jiugong hexagrams:
1 Be sincere in your heart; If your heart is not sincere, your divination won't work.
If you want to be an expert, you will be confused if you don't do it.
If you want to read, it will be easy to read.
One thing is untrue, and two things are false.
Ask the truth, or you will deceive yourself.
When divining, the occupier is required to read his name, age, date, address and reason in his mind, and then ask for divination.
7. Draw in two stages; The first section is the top and the second section is the bottom. After smoking, you must restore it before you can smoke again. Different things need different hexagrams.
8 The numbers drawn should be arranged in hundreds, tens and single digits. The first branch is hundred digits, the second branch is ten digits, and the third branch is single digits.
9 Ask the near, don't ask the far (mainly/kloc-things to be decided within 0/5 days), ask the luck, don't ask the fate (fate depends on the case)
Jiugongge, also known as Sudoku, is a logical digital puzzle game, which is not only very interesting, but also very good for the brain.
Location. Children often play Jiugongge, which can exercise their brains and improve their logical thinking ability and intelligence. Old people often play Sudoku, which can make their brains excited and beneficial to health. Jiugongge is also a good parent-child game. Many times, parents can play with their children.
Its rules of the game are very simple. How many numbers are there in a 9×9 square? Leave the other squares blank. Players need to work out what numbers are in the remaining spaces according to logic, so that each row and column has a number of 1 to 9, and each Xiao Jiu grid also has a number of 1 to 9. A number can only appear once in each row and each Xiao Jiu grid.
To play this game, you don't need language skills and cultural knowledge like crossword puzzles, or even complicated math skills. Because it doesn't need addition, subtraction, multiplication and division at all. Of course, you must not underestimate it, it is not so easy to be "subdued". Jiugongge definitely tests wisdom and perseverance. In this seemingly simple little square, you should use all your imagination, logical reasoning and innovative thinking. When you meditate with a pen, these nine numbers are likely to give you a headache, a rapid pulse and restlessness. However, when you successfully fill in all the figures, you will be ecstatic.
The following is a detailed explanation:/%be% ad% b5% E4% C2% E5% C4% Fe/blog/item/fe97f3dd597dd4eb7c63877.html.