Three Nontransitive Dice

Three Nontransitive Dice 3d printed Puzzles Dice
Three Nontransitive Dice 3d printed Puzzles Dice
Three Nontransitive Dice 3d printed Puzzles Dice
Digital Preview

Not a Photo

3d Model Viewer

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
Sign In or Join to comment.
 
 
Logo

Hello.

We're sorry to inform you that we no longer support this browser and can't confirm that everything will work as expected. For the best Shapeways experience, please use one of the following browsers:

Click anywhere outside this window to continue.