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Old 09-07-2006, 12:29 PM   #8 (permalink)
mrmojorisin
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mrmojorisin
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the opposite sides of a regular dice add up to seven. So no matter how you stack them up (assuming the sides stuck together add up to seven), the open sides will always total to a multiple of seven. It also doesnt matter which sides you stick in this case, since they all add up to seven.

The lowest total will obviously again come from arranging them as a large cube. This cube has 12 pairs of dice faces. Each pair adds up to seven. So the total is 7x12 = 84.

The highest total comes from exposing the maximum number of faces - arranging them in a straight line. In this case, there are 17 pairs of dice faces exposed. So the total is 7x17 = 119.

Cheers,
M
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