The total number of changes in the Rubik's Cube
Release time:
2024-03-25
Third order Rubik's Cube variation number The commonly referred to Rubik's Cube refers to a third-order Rubik's Cube, which is a 3x3x3 cubic structure composed of 26 color blocks. The third order Rubik's Cube has a total of 43252003274489856000 ≈ 4.3 × 1019 changes through rotation. The principle of the number of changes for a third-order Rubik's Cube is as follows: 8 corner blocks: can be swapped positions (8!) or flipped directions (38), but cannot flip a single corner block (1/3) separately, so there are 8! 37 variations. 12 edge blocks: can be swapped positions (12!) or flipped directions (212), but cannot swap a pair of edge blocks (1/2) separately, nor can a single edge block (1/2) be flipped separately, so there are 12! * 212/(2x2) variations. 6 central blocks: fixed and not movable. In summary, there are several changes in the third order Rubik's Cube.
Third order Rubik's Cube variation number
The commonly referred to Rubik's Cube refers to a third-order Rubik's Cube, which is a 3x3x3 cubic structure composed of 26 color blocks. The third order Rubik's Cube has a total of 43252003274489856000 ≈ 4.3 × 1019 changes through rotation.
The principle of the number of changes for a third-order Rubik's Cube is as follows:
8 corner blocks: can be swapped positions (8!) or flipped directions (38), but cannot flip a single corner block (1/3) separately, so there are 8! 37 variations.
12 edge blocks: can be swapped positions (12!) or flipped directions (212), but cannot swap a pair of edge blocks (1/2) separately, nor can a single edge block (1/2) be flipped separately, so there are 12! * 212/(2x2) variations.
6 central blocks: fixed and not movable.
In summary, there are several changes in the third order Rubik's Cube.
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