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Three Nontransitive Dice

Three Nontransitive Dice 3d printed Puzzles Dice White Strong & Flexible
White Strong & Flexible
Three Nontransitive Dice 3d printed Puzzles Dice White Strong & Flexible
Three Nontransitive Dice 3d printed Puzzles Dice White Strong & Flexible
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Three Nontransitive Dice 3d printed Puzzles Dice
Three Nontransitive Dice 3d printed Puzzles Dice
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Not a Photo

Three Nontransitive Dice 3d printed Puzzles Dice White Strong & Flexible Polished
Three Nontransitive Dice 3d printed Puzzles Dice White Strong & Flexible Polished
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Three Nontransitive Dice 3d printed Puzzles Dice Pink Strong & Flexible Polished
Three Nontransitive Dice 3d printed Puzzles Dice Pink Strong & Flexible Polished
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Three Nontransitive Dice 3d printed Puzzles Dice Red Strong & Flexible Polished
Three Nontransitive Dice 3d printed Puzzles Dice Red Strong & Flexible Polished
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Three Nontransitive Dice 3d printed Puzzles Dice Purple Strong & Flexible Polished
Three Nontransitive Dice 3d printed Puzzles Dice Purple Strong & Flexible Polished
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Three Nontransitive Dice 3d printed Puzzles Dice Blue Strong & Flexible Polished
Three Nontransitive Dice 3d printed Puzzles Dice Blue Strong & Flexible Polished
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Three Nontransitive Dice 3d printed Puzzles Dice Black Strong & Flexible
Three Nontransitive Dice 3d printed Puzzles Dice Black Strong & Flexible
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About this Product

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.

Dimensions

IN: 1.589 w x 0.498 d x 1.312 h
CM: 4.036 w x 1.264 d x 3.332 h
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Very small but perfectly formed nontransitive dice which have totally confused my niece . . .
December 13, 2014, 10:53 pm
 
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