Rolling Dice with Polynomials
نویسنده
چکیده
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, some early results, and possible directions for future (undergraduate) research. Fun dice will be present for you to roll! This talk will be accessible to Juniors and Seniors. Refreshments will be served.
منابع مشابه
RENEWAL THEORY 1. RENEWAL PROCESSES 1.1. Example: A Dice-Rolling Problem. In board games like Monopoly, Clue, Parcheesi, and so on, players take turns rolling a pair of dice and then moving tokens on a board according to rules
1.1. Example: A Dice-Rolling Problem. In board games like Monopoly, Clue, Parcheesi, and so on, players take turns rolling a pair of dice and then moving tokens on a board according to rules that depend on the dice rolls. The rules of these games are all somewhat complicated, but in most of the games, in most circumstances, the number of spaces a player moves his/her token is the sum of the num...
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