The total number of changes in the Rubik's Cube

Release time:

2026-07-31 09:02

Author:

Ourced from the Internet

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.

Common Terminology of Rubik's Cube

None

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