The third-order magic square refers to a 3×3 matrix filled with 9 numbers (1 to 9), so that the sum of the numbers in each row, column and diagonal is equal. In the third-order Rubik's Cube, * * has the law of 15.

1, standard Rubik's cube: 8 1 6

3 5 7

4 9 2。

2. Turn the Rubik's Cube horizontally: 6 1 8

7 5 3

2 9 4。

3. Flip the Rubik's Cube vertically: 4 9 2

3 5 7

8 1 6。

4. Turn the Rubik's Cube diagonally: 2 9 4

7 5 3

6 1 8。

5. Rotate 90-degree Rubik's Cube: 4 3 8

9 5 1

2 7 6。

6. Rotate 180 degree Rubik's Cube: 2 9 4

7 5 3

6 1 8。

7. Rotate the Rubik's Cube 270 degrees: 6 7 2

1 5 9

8 3 4。

8. Vertically symmetric magic square: 6 1 8

7 5 3

2 9 4。

9. Horizontal Symmetrical Rubik's Cube: 4 9 2

3 5 7

8 1 6。

10, orthogonal magic square: 2 7 6

9 5 1

4 3 8。

1 1, Anti-Cross Rubik's Cube: 8 3 4

1 5 9

6 7 2。

12, anti-diagonal flip cube: 8 1 6

3 5 7

4 9 2。

13, magic square of diagonal and central number exchange: 8 1 6.

3 5 7

4 9 2。

14. The number of sides moves two Rubik's cubes clockwise: 4 3 8.

9 5 1

2 7 6。

15, the upper left number moves two Rubik's cubes clockwise: 6 7 2.

1 5 9

8 3 4。

This is 15 third-order Rubik's cube law. Each rule can be arranged differently from the standard Rubik's Cube by flipping, rotating or exchanging numbers. Magic square has always been a fascinating problem in mathematics. It has wonderful symmetry and regularity, and has been widely studied and applied in mathematics, cryptography, programming and other fields.

The influence of Rubik's cube

Besides the third-order magic square, there are higher-order magic squares, such as the fourth-order magic square and the fifth-order magic square. With the increase of order, the types and laws of magic squares will increase exponentially. The history of studying Rubik's Cube can be traced back to ancient times. As early as 1900 BC, the ancient Egyptians began to explore the mystery of the Rubik's cube.

Magic Square also occupies an important position in the mathematical culture of China, India, Europe and other places, forming different solutions and applications. Rubik's cube is not only a mathematical game, but also involves many branches of mathematics such as number theory, algebra and graph theory, which plays a positive role in improving logical thinking and solving problems.