1. SOS
- Author
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Caravan, Jasper, Han, Michael, Kalashnikov, Andrew, Khovanova, Tanya, Li, Ella, Meng, Alexander, Rastogi, Vaibhav, Redwine, Gordon, Strougov, Lev, and Zhao, Angela
- Subjects
Mathematics - History and Overview ,00A08, 91A05, 91A46 - Abstract
SOS is a game similar to tic-tac-toe. We study a variety of variations of it played on a 1-by-$n$ rectangle. On our journey we change the target string to SOO, then study all target strings containing SSS, then go back to finite strings and study SOSO. Then we create a variation with two target strings SSSS-OOOO. We continue with mis\`{e}re games. After that we look at different changes of the board: we wrap the board around, add dimension, and allow it to expand. We end with a variation that came from the ultimate tic-tac-toe., Comment: 12 pages, 4 tables
- Published
- 2023