I threw a small number of standard dice and noted that the grand total of spots on the tops was a perfect square. Then I put the dice in a row in increasing order of their tops and wrote down the large number sornformed (for example, 12224...).rnThen I repeated the exercise with double the number of dice. Again the total number of spots was a perfect square, and again I wrote down the number formed by the tops in increasingorder.lt turned out that the second number I wrote down was the square of the first.rnIncidentally (although you do notrnneed to know this) throughout the exercise I threw at most one 6.
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