Etruscan numerals whether the numbers on opposite faces of Etruscan dice add up to seven, like nowadays. Some dice found did not show this proposed pattern. An aspect of the Etruscan numeral system is that some numbers, as in the Roman system, are represented as partial subtractions. So "17" is not written *"semφ-śar" as users of the Arabic numerals might reason. One instead finds "ci-em zaθrum", literally "three from twenty". The numbers 17, 18 and 19 are all written in this way. The general agreement among Etruscologists nowadays is the following (except about which of huθ and śa were "four" or "six",
Nontransitive dice B", A wins in 9 out of 16 cases. In "B versus C", B wins in 9 out of 16 cases. In "C versus A", C wins in 9 out of 16 cases. P(A > B) = P(B > C) = , P(C > A) = 9/16 In analogy to the nontransitive six-sided dice, there are also dodecahedra which serve as nontransitive twelve-sided dice. The points on each of the dice result in the sum of 114. There are no repetitive numbers on each of the dodecahedra. Miwin’s dodecahedra (set 1) win cyclically against each other in a ratio of