论文标题

魔术集正方形的分类

The Classification of Magic SET Squares

论文作者

Chen, Eric, Du, William, Gupta, Tanmay, Khovanova, Tanya, Li, Alicia, Mallajosyula, Srikar, Raghavan, Rohith, Sinha, Arkajyoti, Smith, Maya, Qian, Matthew, Wang, Samuel

论文摘要

魔术套装正方形是一个3 x 3台的套装卡片,可以使每个行,列,对角线和反对道和反对道路都是一组。我们允许正方形的以下转换:改组特征,正方形的特征,旋转和反射中的调整值。在这些转换下,有21种类型的魔术集正方形。我们计算每种类型的正方形数量。此外,我们讨论了一款设定的TIC-TAC-TOE游戏。

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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