The "Nine Palaces" in the Book of Changes was also called "Rubik's Cube" in ancient times, which was arranged by 1 to 9 natural numbers. The ingenious feature of this diagram is that the sum of each row, column, diagonal and three numbers is 15, which is very mysterious (see figure 1).
Figure ①: Three, three vertical and horizontal views:
4 9 2 3 5 7 8 1 6 Figure ①
The collation of "Nine palace map" began from the late Warring States to the early Han Dynasty, and was also recorded in Da Dai's Tang Pian and Shu Shu Ji Yi. It is said that the sum of the numbers in Jiugong is 15.
Volume 21 of the Book of Changes records clouds, and the vertical and horizontal diagrams of the four or four are very clever, so they are recorded for reference.
Figure ②: Four or four vertical and horizontal views: 1 514412679 810151332 16 are shown in Figure ②. It is said that the number on a sculpture in the European Renaissance is also 34. It is mysterious. Some people call it Rubik's Cube or Rubik's Cube, and religious superstitions make great use of it. China was like this in ancient times. Up to now, ethnic minorities with tattoo customs in Yunnan, Guizhou and other places have tattooed the pattern of "Nine Palaces" on their backs, saying that they can ward off evil spirits and avoid disasters, and so do foreign countries. For example, farmers in southern Egypt use the "four-four vertical and horizontal map" as a symbol of birth or curse. Now there is a place in India where people often carve the Rubik's Cube on metal objects or small stones and hang it around as a symbol of protecting life. Some people in the Iranian world still believe that the Rubik's Cube has great power to protect life and treat diseases. This is superstition, of course. The wonderful arrangement of the "Five-Year Plan" is said to be one of the miracles discovered by electronic computers. It has been put together many times and has wonderful properties. The five subjects on the diagonal of each row and column are 65. Randomly extract a square with 5×5 cells from the "five-five vertical and horizontal diagrams" that have been put together for many times, all of which are "five-order vertical and horizontal diagrams ③" (see figure). Figure ③ Five vertical and horizontal views:1152481723716514204132261221/kloc. +08 2 1 125 Figure ③ 1957 When the site of Wang Fu Gang in Anxi, Yuan Dynasty was excavated in xi 'an, iron plates engraved with "Six, Six Vertical and Horizontal Maps" were excavated in the foundation of Wang Fu Palace, and the sum of diagonal lines in each row and column was11. Buried in the foundation at that time, its intention was probably to escape. 18 4 3 3 135 10 36 18 2 124 1 1 17 23 12 17 22 30 8 13 26 / Kloc-0/9 16 29 5 20 As an In view of a deeper understanding of the ancient culture of China, Zhujia in Lushan County, Ya 'an City, Sichuan Province, after in-depth study and understanding, has found that the laws of mathematical permutation and combination have strong strict regularity, which can make the number of combinations more and more, that is, the permutation and combination methods of "seven-order combination", "eight-order combination" and "nine-order combination" and infinite natural numbers thereafter. Now that it is open to the world, I hope to contribute to the society and do my best as an Aya. I dare not think about it after that. Digital permutation decryption method and its application effect, colleagues who like mathematics can contact me by letter or call. Address: Nanjie, Lushan County Contact: Mr. Zhu Tel: 13208359368 Some vertical and horizontal maps discovered by Mr. Zhu are published: 7 38 2 443 40 465 438+0 4913 27 36 20 2918 3519 28/. 46 32 16 25 34 18 4 1 24 33 22 3 1 15 39 45 2 1 30 14 23 37 5 9 1 2 48 6 47 65438.38+075 1 156 59 1 63 107 53 60 45 15 47 24 16 48 5 8 2 1 40 26 27 37 44 57 62 43 29 35 34 32 22 3 4 46 33 365 438+0 30 36 19 6 1 5 1 23 28 39 25 42 14 52 17 50 / kloc-0/8 4 1 49 20 12 9 66442. 1 1 70 3 74 1 73 266 69 75 23 54 18 60 19 56 57 7 1 5 65 29 43 52 36 45 17 67 77 24 5 1 35 44 33 42 58 5 10 62 42+00 78 63 33 65 42 34 66 23 9 1 85 26 39 58 44 45 55 62 75 16 9 80 6 1 47 53 52 50 40 2 1 92 100 22 64 5 1 49 48 54 37 79 1 83 69 4 / kloc-0/ 46 56 57 43 60 32 18 2 70 35 68 36 59 67 38 3 1 99 94 30 27 24 82 20 73 76 72 7 17 3 96 95 4 87 15 65438.
Analysis of the law that the difference between order and sum is the sum of all orders;
The third order sum is: 15.
The fourth order sum is: 34.
The fifth order sum is: 65.
The sixth order sum is 1 1 1.
The seventh order sum is: 175.
The eighth order sum is: 260.
The sum of the nine orders is 369.
The tenth order sum is: 505.
The difference between the third order and the fourth order is: 19.
The difference between the fourth-order sum and the fifth-order sum is 3 1.
The difference between the fifth order and the sixth order is: 46
The difference between the sum of the sixth and seventh orders is: 64.
The difference between the sum of the seventh and eighth orders is: 85.
The difference between the sum of the eighth and ninth orders is: 109.
The difference between the 90th order sum is: 136.
According to this method, the difference of the difference will all be equal to: 3.