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Third-order magic square law
Divide the sum by three first, the middle number must be it, and the sum of nine numbers is nine times that of the middle number. The number on any corner is equal to half of the sum of two numbers that are not on the same horizontal, vertical and diagonal line. The sum of the two numbers at the two ends of three numbers on the same straight line passing through the centers of nine squares is twice that of the middle number. The number of 2-fold lattice is equal to the sum of the number of two non-adjacent edge lattices.

Rubik's cube is a widely circulated mathematical game, which is said to have been discovered as early as Dayu's flood control. The magic square is an n×n square composed of natural numbers, which is called the n-order magic square. The sum of the numbers in each row, column and two diagonal lines is equal. The third-order magic square is the simplest magic square, also called Jiugongge. It is a three-row and three-column matrix composed of nine numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9, and its diagonal, horizontal, vertical and sum are all 15, so the magic sum of this simplest magic square is called 65438+.

Practical value:

Rubik's cube is widely used in art design. Braden, a western architect, found that the symmetry of the Rubik's Cube is quite rich. It uses the Rubik's cube to form many beautiful patterns. He called the square line in the pattern Moline, and applied it to the design of light industrial products and cover packaging.

Melancholy, a famous German printmaker, is famous all over the world because it has a Rubik's cube that can indicate the date of production. The harmonious combination of artistic beauty and rational beauty will often become a masterpiece that will last forever. On the Rubik's Cube, Japanese Rubik's Cube expert Fang Yue has also done a lot of work. Ji Guangzhong, a teacher from Anyang, Henan Province, has studied all kinds of magic maps and dedicated them to the Central Academy of Arts and Crafts. Beijing Ding Baoxun published 17 magic line diagrams in the Rubik's Cube photo album, all of which are very beautiful.

The mathematical layout in the Rubik's Cube is very symmetrical, balanced and varied. Therefore, if you connect the numbers in sequence, you can form a strange structure diagram of the Rubik's cube array. After color processing, you can get very beautiful artistic patterns. This pattern not only shows a variety of symmetrical beauty, but also has the rational law of Rubik's cube principle, so it is thought-provoking and can be called an axe.