| dc.description.abstract | This thesis explores the underlying mathematics of the card game SET, which is a fast-paced pattern recognition game played with 81 cards. The game involves making SETs of three cards with certain compatibility conditions based on their color, shape, filling, and number properties. The first section gives an introduction to the game and its rules. The subsequent sections cover various mathematical concepts related to SET, such as counting SETs, modular arithmetic, and finite affine geometry. Section seven describes how simulations can be used to deal with a number of problems or questions related to the game. The thesis concludes by discussing how the game SET can be used in the classroom to develop cognitive and social skills in students. Through its exploration of the mathematical principles underlying the game, this thesis exposes the strong connection between SET and finite geometry, and offers insights into the use of SET as an educational tool. | |
