Non-standard numberings include the Sicherman dice ($$1, 2, 2, 3, 3, 4$$ and $$1, 3, 4, 5, 6, 8$$ - throw them together and the distribution is the same as with two normal dice), and nontransitive dice, where A beats B over $$50\%$$ of the time, B beats C over $$50\%$$ of the time, but A doesn't beat C over $$50\%$$ of the time, for example $$[2, 2, 4, 4, 9, 9]$$, $$[1, 1, 6, 6, 8, 8]$$ and $$[3, 3, 5, 5, 7, 7]$$.