Three Nontransitive Dice

Three Nontransitive Dice 3d printed Puzzles Dice
A set of three 6-sided dice that beat each other in a cyclic manner. Die A is labeled {1, 3, 8, 14, 15, 16}, Die B is labeled {4, 5, 6, 7, 17, 18}, and Die C is labeled {2, 9, 10, 11, 12, 13}. The numbers 1 through 18 are used once and on each die the sum of the faces is 57

If Dice A and B are rolled, B beats A 5/9 of the time. If Dice B and C are rolled, C beats B 5/9 of the time. And if Dice C and A are rolled, A beats C 5/9 of the time. There are no ties. The probabilities of one die beating another is not transitive among the three.

How to play with an opponent who does not know the secret of nontransitive dice: Let your opponent pick any one of the dice. Then you pick the corresponding die that beats it 5/9 of the time.
cm: 4.036 w x 1.264 d x 3.332 h
in: 1.589 w x 0.498 d x 1.312 h


  • Sandstone

    Delicate and grainy, with a coarse finish and sand-like color.