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The Classification of Magic SET Squares

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arxiv 2006.04764 v1 pith:UU5NW5Q5 submitted 2020-06-08 math.HO math.CO

Eric Chen , William Du , Tanmay Gupta , Tanya Khovanova , Alicia Li , Srikar Mallajosyula , Rohith Raghavan , Arkajyoti Sinha
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Maya Smith Matthew Qian Samuel Wang
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classification math.HOmath.CO
keywords magicsquaresquaresfeaturesshufflingtransformationsadditionallow
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A magic SET square is a 3 by 3 table of SET cards such that each row, column, diagonal, and anti-diagonal is a set. We allow the following transformations of the square: shuffling features, shuffling values within the features, rotations and reflections of the square. Under these transformations, there are 21 types of magic SET squares. We calculate the number of squares of each type. In addition, we discuss a game of SET tic-tac-toe.

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