I'm still trying to wrap my head around this. Non-transitive dice are four dice and a game to go with them, where each die beats the next in line, and the last beats the first. Each can be shown to be better than the next, but somehow it keeps going in a cycle, never reaching an all-around best die. Kind of like a quantitative rock-paper-scissors, reminiscent of Escher's Ascending and Descending.

Wikipedia has more on these dice.

tagged: ,   /   via: Critical Section» 3 reactions

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Dharmesh Shah 11:13 AM on 24 Apr 2008

Very cool.

If one could actually buy these, would make for a neat parlor game.

[gravatar]
Ian Bicking 11:38 AM on 24 Apr 2008

Some of the probability oddness reminds me of this article: http://www.overcomingbias.com/2008/03/mind-probabilit.html

[gravatar]
Dave Smith 1:48 PM on 24 Apr 2008

I boggled over non-transitive dice, too, until a friend said, "Think rock, scissors, paper". Then it clicked.

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