两对骰子投掷时出现的点数和出现相同点数的次数都相同即称为该两对骰子等价.该文探讨非标准骰子的等价性问题,证明了分别有六类非标准骰子与一对标准正二十面体骰子等价,这六类非标准骰子分别有4,10,3,11,10和7对.
Two pairs dices are equivalent if one pair dice has the same throwing effect with the other one, that is, the sum of two dices and the probability of the same sum are the same. In this pa- per, we continue to investigate the equivalent design of the non-standard dices. We prove that there are six types of non-standard dices equivalent to the icosahedron dice, which have 4,10,3,11,10 and 7 pairs respectively.