The Classification of Magic SET Squares

The Classification of Magic SET Squares

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, th...

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Hauptverfasser: Chen, Eric, Du, William, Gupta, Tanmay, Khovanova, Tanya, Li, Alicia, Mallajosyula, Srikar, Raghavan, Rohith, Sinha, Arkajyoti, Smith, Maya, Qian, Matthew, Wang, Samuel
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
Mathematics - History and Overview
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Zusammenfassung: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.
DOI:10.48550/arxiv.2006.04764