Difference between revisions of "Rubik's Cube Group"
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| − | The Rubik's Cube group is a group of order 43,252,003,274,489,856,000, and represents the states of the [[3x3x3|3x3x3 Rubik's Cube]]. | + | The Rubik's Cube group is a [[wikipedia:group|group]] of order 43,252,003,274,489,856,000, and represents the states of the [[3x3x3|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. | 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. | ||
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== See also == | == See also == | ||
| + | * [[Thistlethwaite Algorithm]] | ||
| + | |||
| + | == Links == | ||
| + | * [http://games.groups.yahoo.com/group/speedsolvingrubikscube/message/41594 Macky explaining some things] ([[Yahoo! Speed Solving Rubik's Cube Group]]) | ||
* [http://en.wikipedia.org/wiki/Rubik's_cube_group Wikipedia entry on the Rubik's Cube Group] | * [http://en.wikipedia.org/wiki/Rubik's_cube_group Wikipedia entry on the Rubik's Cube Group] | ||
| − | * [[ | + | * 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) | ||
| + | * [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)
