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Jan 15, 2013 at 16:09 comment added Noam D. Elkies Yes, it's something like SET, where one must find affine lines in a subset of $\mathbb{F}_3^4$; that's probably why the game is called "Projective Set". The $\mathbb{F}_2^6$ game is less familiar, but has the advantage for teaching that one can use ideas from an intro linear-algebra course not just to describe the game but also to obtain results such as it takes $7$ cards to guarantee a valid subset (and with $6$ cards the probability of success is $1 - \prod_{n=0}^5 (64-2^n)/(63-n) = 61363/104371 \doteq 58.8\%$).
Jan 15, 2013 at 15:54 history edited Noam D. Elkies CC BY-SA 3.0
Added enumeration challenge
Jan 15, 2013 at 14:24 comment added Stephan Müller This is similar to the card game SET!, see mathoverflow.net/questions/13638/…
Jan 14, 2013 at 23:22 history answered Noam D. Elkies CC BY-SA 3.0