PRODUCT-FREE SETS IN THE CARD GAME SET
The card game SET has attracted the attention of math and game enthusiasts alike. In this article, I present a first semester Abstract Algebra project that guides the students through an algebraic formulation of the game. There are many interesting mathematical questions that one can ask about the game, and I illustrate how the project can be used to get students working on such questions. In this way, the project can also serve as an opportunity for undergraduate research.
"Product-free Sets in the Card Game Set," PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies .15(4) (2005) 289-297
PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies