Sets, Planets, and Comets

From the article “Sets, Planets, and Comets” that recently appeared in College Mathematics Journal.
Set is an enjoyable—even addictive—card game that challenges players to identify
certain visual patterns. A mathematically rich game, it provides ample opportunity for
students and teachers to ponder combinatorial, algebraic, and geometric questions. Part
of Set’s appeal is that once the fundamentals of the game are understood, it is nearly
impossible to resist investigating its structure, whatever one’s background. We con-
centrate on the geometry, introducing interesting objects we call planets and comets,
which lead to an elegant variation on the game.
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