Contact information
Name:
C. Jayne Trent
Phone:
6103305267
Email:
TRENTJ@LAFAYETTE.EDU
SET has many interesting mathematical properties. To explore these properties, we can assign numbers to each state. For example, if diamond/red/empty/1 =1, oval/green/shaded//2 = 2, and squiggle/purple/solid/3 = 3, then the card (red, oval, solid, 3) becomes (1,2,3,3). We can now think of a card as a list of 4 numbers, and use this to derive several mathematical properties of SET. Next, we will introduce a variation of SET called SuperSET. We will show that with certain modifications the same mathematical properties hold in this new game.