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Rubik's Cube group : ウィキペディア英語版
Rubik's Cube group

The Rubik’s Cube group is a group (''G'', •) that corresponds to the set ''G'' of all ''cube moves'' on the Rubik's Cube mechanical puzzle with the group operation • being the concatenation of cube moves. With the solved position as a starting point, there is a one-to-one correspondence between each of the legal positions of the Rubik's Cube and the elements of ''G''.〔(【引用サイトリンク】url=http://geometer.org/rubik/group.pdf )
==Cube moves==

A 3×3×3 Rubik's Cube consists of 6 ''faces'', each with 9 colored squares called ''facets,'' for a total of 54 facets. A solved cube has all of the facets on each face having the same color.
A cube move rotates one of the 6 faces 90°, 180° or -90° (half move metric).〔 A center facet rotates about its axis but otherwise stays in the same position.〔
Cube moves are described with the Singmaster notation:
The empty move is E. The concatenation of LLLL is the same as E, and RRR is the same as R^\prime.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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