The Classification of Magic SET Squares
| Autor: | William Du, Tanmay Gupta, Arkajyoti Sinha, Eric Chen, Srikar Mallajosyula, Maya Smith, Samuel Wang, Rohith Raghavan, Tanya Khovanova, Matthew Qian, Alicia Li |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Discrete mathematics
Set (abstract data type) Computer Science::Computer Science and Game Theory Mathematics - History and Overview History and Overview (math.HO) FOS: Mathematics Magic (programming) Mathematics - Combinatorics 00A08 Ocean Engineering Combinatorics (math.CO) Safety Risk Reliability and Quality Mathematics |
| Zdroj: | Recreational Mathematics Magazine. 7:71-94 |
| ISSN: | 2182-1976 |
| DOI: | 10.2478/rmm-2020-0005 |
| Popis: | 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. Comment: 22 pages, 27 figures, 15 tables |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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