• Corpus ID: 18785794

The Permutation Group of the Rubik ’ s Cube Lucas Garron March 8 , 2010 1 Introduction and Motivation

@inproceedings{Cube2010ThePG,
  title={The Permutation Group of the Rubik ’ s Cube Lucas Garron March 8 , 2010 1 Introduction and Motivation},
  author={Rubik’s Cube},
  year={2010}
}
The Rubik’s Cube (Figure 1a) is a widely known cultural icon. It is a mechanical puzzle which can be visualized as a three-dimensional 3x3x3 array of 27 unique cubies, where the visible outer faces of the cubies are covered with stickers colored according to their orientation. From this solved state, any outer “slice” of 9 cubies may be rotated to permute the cubies –Figure 1b shows the effect of such a turn. The objective of the puzzle is to return it to its solved state after any arbitrary… 

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