The Classification of Magic SET Squares
History and Overview
2020-06-09 v1 Combinatorics
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.
Cite
@article{arxiv.2006.04764,
title = {The Classification of Magic SET Squares},
author = {Eric Chen and William Du and Tanmay Gupta and Tanya Khovanova and Alicia Li and Srikar Mallajosyula and Rohith Raghavan and Arkajyoti Sinha and Maya Smith and Matthew Qian and Samuel Wang},
journal= {arXiv preprint arXiv:2006.04764},
year = {2020}
}
Comments
22 pages, 27 figures, 15 tables