First of all, a brief introduction.
1, the Rubik's cube rule, is the arrangement of the third-order Rubik's cube, and a wonderful rule is found: "Nine children are obliquely arranged, easy to go up and down, with more left and right, four-dimensional prominent, wearing nine shoes, three left and seven right, two or four shoulders, and six or eight feet."
2. The Book of Changes written by Li Guangdi in Qing Dynasty compromised the arrangement principle of "Yang moving and Yin static" summarized by Yang Hui. During the Southern Song Dynasty, Yang Hui was not only proficient in mathematics, but also in Yi-ology. 1275, the mathematical problems of Hetu and Luoshu are studied in detail.
Second, the formula
What we usually call magic squares are planes and magic squares. The magic square of order n is to fill the square number of n^2n. The sum of the rows, columns and diagonals of n×n equals a perfect magic square, and the sum of the rows, columns and diagonals equals an imperfect magic square. This sum is called magic sum. The magic sum formula of n-order magic square is Sn=n(n2+ 1)/2.
Third and sixth order
1, the sixth-order Rubik's Cube is produced by the Greek Olympic Rubik's Cube Company, and the evaluation of the Rubik's Cube itself is not very good. Common evaluations are easy to pop up (flash: refers to the situation that some parts of the Rubik's cube are separated from the Rubik's cube when it is restored, if it is invalid in the competition), the axis is not firm, and so on ... sixth-order Rubik's cube (English: v-cube 6).
2. A Rubik's cube with a cubic structure of 6×6×6 can be restored and changed by solving some third-order Rubik's cubes, fourth-order Rubik's cubes and fifth-order Rubik's cubes. The six-step Rubik's Cube is one of the official competitions of WCA. By 2023, the single-person world record was 59.74 seconds, and the average world record was 1 minute 07 seconds 1 1. The holders are all American Max Park.
Fourth, the change of the total number.
A six-order Rubik's cube always has eight corner blocks, 48 side blocks and 96 center blocks. The sixth-order Rubik's Cube includes 157,152,858,401024,063, 28 1, 013,959,519. 502,629,887, 168,573,442, 107,637,760,000,000,000,000,000,000,000,000,000.