For Christmas this year, I got myself a fun mathematical gift: a set of 10 non-transitive dice, namely Grime Dice! You can get your own set here. Behold their dicey splendor: These dice possess the fascinating property that their winning relationships (in the sense of “winning” = “rolls a higher number > 50% of the time”) are non-transitive. i.e. if die A wins against die B, and die B wins against die C, it actually does *not* hold, in general, that die A wins against die C.  In fact, die C might win [...]