Quads or EvenQuads is a pattern-recognition game similar to Set. The goal of the game is to find “quads”, which are sets of 4 cards that satisfy a particular pattern. In this talk, we will discuss our research into the maximum number of quads in a $k$ card layout. Specifically, we will demonstrate an upper bound for the number of quads in a $k$ card for all $k$ and prove this bound is tight for when $k$ is a power of two. Furthermore, we will share the results for $4\le k\le 6$.

Presenter: Taiki Aiba; Collaborators: Taiki Aiba, Daniella Catala, Rohan Ridenour, Sarah Covey, Timothy Goldberg, Lauren Rose