The Classification of Magic SET Squares
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Abstract
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: https://doi.org/10.2478/rmm-2020-0005 | Journal eISSN: 2182-1976
Language: English
Page range: 71 - 94
Published on: Sep 18, 2020
Published by: Ludus Association
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year
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© 2020 Eric Chen, William Du, Tanmay Gupta, Alicia Li, Srikar Mallajosyula, Rohith Raghavan, Arkajyoti Sinha, Maya Smith, Matthew Qian, Samuel Wang, Tanya Khovanova, published by Ludus Association
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.