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Permuting a Square (Posted on 2004-11-08) Difficulty: 4 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre: Thoughtsron2004-12-31 00:28:36
re: solution reply to Charlielaura2004-11-29 16:44:38
Solutiontwo moves are all you needDJ2004-11-10 11:37:10
re(2): tiny simplification thoughtCharlie2004-11-08 22:42:22
re: solution (spoiler)Charlie2004-11-08 17:50:11
re: tiny simplification thoughtCharlie2004-11-08 17:47:02
SolutionsolutionCharlie2004-11-08 15:14:56
ThoughtsOsi2004-11-08 14:23:55
Some Thoughtstiny simplification thoughtnikki2004-11-08 14:23:11
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