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 Rolling Die (Posted on 2009-11-19)
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.

bonus:

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?

 X 1 2 3 4 5 6

 See The Solution Submitted by Charlie No Rating

 Subject Author Date re(3): solution brianjn 2009-11-20 22:17:18 re(2): solution Vishal Gupta 2009-11-20 14:43:47 re: solution brianjn 2009-11-19 19:49:05 a non-bonus solution Dej Mar 2009-11-19 17:45:58 solution Vishal Gupta 2009-11-19 15:29:38 dru my solutions Jer 2009-11-19 15:17:32

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