From the nine-square grid to the sixty-four hexagrams in the "Luoshu" of the Book of Changes

1. "Luo Shu" opens a new river in the world of human magic squares;

Represent the corresponding black dots and white dots in the "Luo Shu" pattern with numbers,

Get the following picture:

Add the horizontal numbers: 4+9+2=15, 3+5+7=15, 8+1+6=15;

Add the numbers in the vertical direction: 4+3+8=15, 9+5+1=15, 2+7+6=15;

Add the numbers corresponding to the oblique angles: 2+5+8=15, 4+5+6=15;

This is the earlier third-order magic square (nine-square grid). When the nine numbers 1 to 9 are placed in the nine-square grid, there are factorial (9! = 362,880) combinations of 9. I don’t know what method our ancestors used to find this most perfect combination. With this (nine-square grid) model, humans have opened up the world of magic squares, producing more and more complex magic square combinations.

Second, "Luo Shu" deduces the acquired gossip, the perfect combination of the nine-square grid of the acquired gossip;

The acquired gossip is deduced from the "Luoshu", (the acquired gossip: Kan The number corresponding to the hexagram "Gen" is 8; the number corresponding to the hexagram "Zhen" is 3; the number corresponding to the hexagram "Xun" is 4; the number corresponding to the hexagram Li is 9; the number corresponding to the hexagram Kun is 2 ; The number corresponding to the Dui hexagram is 7, and the corresponding number to the Qian hexagram is 6.

The following is the perfect combination of the nine-square grid of the acquired eight trigrams:

Third, the 64 of the 64 hexagrams of the Book of Changes. Palace grid combination;

If you put the 64 "Gua" in the "Book of Changes" into the 64 palace grid, how many combinations can there be?

This number is very huge,

It is the factorial of 64 (64! = 1.2688693218588 × 10 89, which is 1.2688693218588 times 10 raised to the power of 89).

The 64-square grid is impossible to calculate. What are the rules after putting 64 "guas" into the 8th-order magic square?

Let's analyze how to put 64 "guas" into the 8th-order magic square. p> 1. The relationship between the 64 hexagrams and the two systems;

The "Yang Yao" in the 64 Hexagrams is represented by 1, and the "Yin Yao" is represented by 0.

For example. For the Kun hexagram, rotate the Kun hexagram 90 degrees clockwise,

and then follow the above rules to get the number of the second system: 000000. Convert this number into the ten system and it will be 0;

Peel Gua Shun Rotate the clockwise 90 degrees to get the number of the second system: 000001, which is converted into the number of the ten system: 1;

Rotate the Qian Gua 90 degrees clockwise and get the number of the second system: 111111, which is converted into the number of the ten system and is 63.

According to the above example, convert all 64 "gua" into ten-system numbers as shown below:

2. Add 1 to each number corresponding to the I Ching square diagram;

In order to put the 64 "hexagrams" in the "Book of Changes" into the 8th order magic square in an orderly manner, it is necessary to add 1 to each number, because the "hexagram images" of the "64 hexagrams" are transformed After the establishment of ten, the Kun hexagram is 0, and with the 8th-order magic square, 1 to 64 do not match, so add 1 for the convenience of the following analysis. We add 1 to each number corresponding to the 64 "hexagram" square diagram and call it "added". 1 square diagram", as shown below:

3. One of the combinations of the 8th-order magic square;

There are many combinations of 8th-order magic squares currently discovered. Now we Only analyze one of them. The sum of the numbers in each row, column, or diagonal of this 8th-order magic square is 260, as shown below:

8th-order magic square

4. Put the hexagrams in the "Add 1 Square Diagram" into the 8th order magic square above with numerical correspondence as shown below:

64 hexagrams 8th order magic square

If we carefully analyze the above picture, we will find a pattern: if we fold the above picture in half from the middle, we will find that the two overlapping hexagrams are all wrong hexagrams. For example, in the first row: Jiji hexagram and Weiji hexagram are wrong hexagrams; Family hexagram and Jie hexagram are wrong hexagrams; "Lu hexagram" and "Qian hexagram" are wrong hexagrams; Xiaoxiu hexagram and Yu hexagram are wrong hexagrams relation. Fold it in half according to the red vertical straight line, as shown below:

With the advancement of science and technology, it is easier for people to understand the wisdom of their ancestors. As long as we continue to work hard and be enlightened with our hearts, I believe that humans will unlock more secrets hidden in the "I Ching".