It is a well{known exercise in elementary probability that it is impossible to forge two ordinary dice with numbers 1;. . .; 6 in such a way that when one throws both and takes the sum one gets the numbers 2; 3;. . .; 12 all with the same probability. preceding assertion is just the statement that for m = 10, k 1 = k 2 = 5 there are no such probabilities. It will be shown how the k 1 ;. . .; k ...

George Sichermann in 1978 discovered a way to label two six-sided dice that produces outcomes identical to the one which occurs when two standard six-sided dice are rolled. In this talk, I will describe a generalization of this result due to Gallian and Rusin which uses polynomial algebra. I will conclude with a description of several variations on the original problem, several open questions, ...