Projective Set (game)

[1] Projective Set has been studied mathematically as well as played recreationally.

[2] A Projective Set card has six binary attributes, or bits, generally represented by colored dots.

Three cards are said to form a "set" if the total number of dots of each color is either 0 or 2.

In the original version, as in Set, 12 cards are laid out on the table.

Three new cards are then dealt and the play continues until the deck is depleted.

The game ends when the deck is depleted and no more sets can be found among the cards on the table.

Points are generally given at the end according to how many cards each player captured rather than how many sets.

The collection of all such vectors is the finite projective space with order 2 and dimension 5.