The Dice_DesignNT.xlsx Model

Constructing Nontransitive Dice

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We want to design a set of three nontransitive six sided dice that have the following properties:
i) each face has a integer between 1 and 18 in it,
ii) each integer in this range appears on exactly one face, and
iii) on average: dice1 beats dice2, dice2 beats dice3 and dice3 beats dice1.


Integer Programming | Dice | Puzzle |