n-dimensional sequential move puzzle

The Rubik’s Cube is the original and best-known of the three-dimensional sequential move puzzles. Over the years, many virtual implementations of this puzzle have been created in software. Extending these ideas naturally leads to the development of sequential move puzzles in four or more dimensions. The rules governing their operation are rigorously defined mathematically and are closely related to principles of three-dimensional geometry. As a result, they can be simulated in software, and some have even been realized as physical puzzles. As with their three-dimensional counterparts, there are records for solvers, although there is not yet the same level of competitive organisation.

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