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Rolling Die (Posted on 2009-11-19) Difficulty: 2 of 5
On the board below, someone has placed a die the same size as one square on the upper-left corner, with an X on its only marked face, on the top.

You proceed to roll the die, rotating it 90 about an edge that's on the board so as to get to the next square, with a new face of the cube now exposed. Continue doing this until the die is on the square marked 1, but with the X again on the top. What's the shortest way of doing this?

What's the shortest way if the goal is to get to the square marked 2, also with the X on top again? Likewise for the goals marked 3, 4, 5 and 6.


What if, instead of an X, a Y was on the top face, in the correct orientation, and the goal was to get to the same numbered squares, in the correct orientation again? Is it possible? How?








See The Solution Submitted by Charlie    
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  Subject Author Date
re(3): solutionbrianjn2009-11-20 22:17:18
re(2): solutionVishal Gupta2009-11-20 14:43:47
re: solutionbrianjn2009-11-19 19:49:05
Solutiona non-bonus solutionDej Mar2009-11-19 17:45:58
Hints/TipssolutionVishal Gupta2009-11-19 15:29:38
dru my solutionsJer2009-11-19 15:17:32
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