Dicey Directions

An ordinary die is placed on a horizontal table with the '1' face facing East... In which direction is the '1' face facing after this sequence of moves?
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Problem



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Dicey Directions
The diagram shows an ordinary die in which the scores on opposite faces always total 7.



It is placed on a horizontal table with the '1' face facing East.

The die is moved four times, rotating it each time through 90 ° about an edge.

The faces in contact with the table are first 1, then 2, then 3, then 5.

In which direction is the 1 facing after this sequence of moves?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.