# Difference between revisions of "Rubik's Cube Group"

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* Martin Schönert [http://www.gap-system.org/Doc/Examples/rubik.html Analyzing Rubik's Cube with GAP] | * Martin Schönert [http://www.gap-system.org/Doc/Examples/rubik.html Analyzing Rubik's Cube with GAP] | ||

* [http://www.cube20.org/cubelovers/CL18/043.txt Dave Rusin's remark on finding a presentation of Rubik's cube] ([[Cube Lovers]], 17 Dec 95) | * [http://www.cube20.org/cubelovers/CL18/043.txt Dave Rusin's remark on finding a presentation of Rubik's cube] ([[Cube Lovers]], 17 Dec 95) | ||

+ | * [https://web.archive.org/web/20160323003114/http://math.stackexchange.com/questions/249476/presentation-of-rubiks-cube-group Presentation of Rubik's Cube group] (Mathematics Stack Exchange) | ||

[[Category:Puzzle theory]] | [[Category:Puzzle theory]] |

## Latest revision as of 09:15, 14 June 2017

The Rubik's Cube group is a group of order 43,252,003,274,489,856,000, and represents the states of the 3x3x3 Rubik's Cube.

As every group can be represented as a subgroup of a permutation group, the Rubik's Cube group can be represented as a subgroup of the permutations of its stickers.

The diameter of the Rubik's Cube group is known as God's Number for 3x3x3.

## See also

## Links

- Macky explaining some things (Yahoo! Speed Solving Rubik's Cube Group)
- Wikipedia entry on the Rubik's Cube Group
- Martin Schönert Analyzing Rubik's Cube with GAP
- Dave Rusin's remark on finding a presentation of Rubik's cube (Cube Lovers, 17 Dec 95)
- Presentation of Rubik's Cube group (Mathematics Stack Exchange)