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The Path of the Dice

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

You have an ordinary dice with $6$ faces:


In this game you can turn the dice onto any face which is already showing. Look at the $4$ ways this can be done:

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In the grid below, you move the dice to another place by clicking on the direction arrow,
OR by clicking on the place you want to move to.

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Can you work out the route from the start to the finishing position by turning the dice in this way?
How many ways can you find of doing it?
Can you explain this?

Starting in the same way, how many different finishing positions can you find? Make up your own routes for a friend.