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Mathematics-Online problems:

Interactive Problem 22: Different dice


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#./interaufg22_en.tex#On a die the numbers 1 to 6 are depicted by the common symbols. Two dice are considered equal, if they can be rotated in space in such a way that corresponding faces show the same symbol in the same arrangement. Accordingly, the dice shown below are thus all different.

\includegraphics{wuerfel}


Answer:

Number of different dice, if
$ \bullet$ opposite faces add up to 7 spots
$ \bullet$ opposite faces add up to any number of spots
$ \bullet$ at least one pair of opposite faces adds up to 9 spots


   

(From: Day of Mathematics 1992)

see also:


  automatically generated: 2/ 6/2018