11-1100/Assignment I - Permutation Counting: Difference between revisions
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The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it. |
The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it along with the permutation generators. |
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[[2x2x3 Permutation Puzzle]] |
[[2x2x3 Permutation Puzzle]] |
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Here are the generators again: |
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g1 = Perm([1,2,3,4,12,22,7,8,6,11,21,28,13,14,15,16,17,18,5,10,20,27,23,24,25,26,9,19,29,30,31,32]) |
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g2 = Perm([1,2,13,23,5,6,7,4,9,10,11,12,30,14,15,16,17,3,19,20,21,22,29,24,25,26,27,28,8,18,31,32]) |
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g3 = Perm([14,24,3,4,5,6,2,8,9,10,11,12,13,32,16,26,1,18,19,20,21,22,23,31,15,25,27,28,29,30,7,17]) |
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g4 = Perm([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,24,25,26,17,18,19,20,21,32,31,30,29,28,27]) |
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Revision as of 22:34, 10 October 2011
The puzzle that I have chosen is a 2x2x3 variant of the Rubik's cube. Below is a sketch of how I have labelled it along with the permutation generators.
Here are the generators again: g1 = Perm([1,2,3,4,12,22,7,8,6,11,21,28,13,14,15,16,17,18,5,10,20,27,23,24,25,26,9,19,29,30,31,32]) g2 = Perm([1,2,13,23,5,6,7,4,9,10,11,12,30,14,15,16,17,3,19,20,21,22,29,24,25,26,27,28,8,18,31,32]) g3 = Perm([14,24,3,4,5,6,2,8,9,10,11,12,13,32,16,26,1,18,19,20,21,22,23,31,15,25,27,28,29,30,7,17]) g4 = Perm([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,24,25,26,17,18,19,20,21,32,31,30,29,28,27])
