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 Permuting a Square (Posted on 2004-11-08)
Given a 3x3 square with 9 distinct entries, can all permutations of the elememts in the square be reached when the only legal operation is to rotate a 2x2 subsquare 90 deg clockwise? (A rotation on the same subsquare may be done multiple times.) If not how many positions are attainable?
Example, rotating the upper left 2x2 square.
1 2 3    4 1 3
4 5 6 -> 5 2 6
7 8 9    7 8 9

 See The Solution Submitted by Brian Smith Rating: 4.2857 (7 votes)

 Subject Author Date re: Thoughts ron 2004-12-31 00:28:36 re: solution reply to Charlie laura 2004-11-29 16:44:38 two moves are all you need DJ 2004-11-10 11:37:10 re(2): tiny simplification thought Charlie 2004-11-08 22:42:22 re: solution (spoiler) Charlie 2004-11-08 17:50:11 re: tiny simplification thought Charlie 2004-11-08 17:47:02 solution Charlie 2004-11-08 15:14:56 Thoughts Osi 2004-11-08 14:23:55 tiny simplification thought nikki 2004-11-08 14:23:11

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