Nontransitive Dice - Nontransitive Dodecahedrons

Nontransitive Dodecahedrons

In analogy to the nontransitive dices there are also nontransitive dodecahedrons. The points on each of the dices result in the sum of 114. There are no repetitive numbers on each of the dodecahedrons.

The miwin’s dodecahedrons (set 1) win cyclically against each other in a ratio of 35:34.

The miwin’s dodecahedrons (set 2) win cyclically against each other in a ratio of 71:67.

Set 1:

D III with blue dots 1 2 5 6 7 9 10 11 14 15 16 18
D IV with red dots 1 3 4 5 8 9 10 12 13 14 17 18
D V with black dots 2 3 4 6 7 8 11 12 13 15 16 17

Set 2:

D VI with yellow dots 1 2 3 4 9 10 11 12 13 14 17 18
D VII with white dots 1 2 5 6 7 8 9 10 15 16 17 18
D VIII with green dots 3 4 5 6 7 8 11 12 13 14 15 16

Read more about this topic:  Nontransitive Dice