A Hyperbolic Variant of Tic-Tac-Toe

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dc.contributor.authorChen, Sarah
dc.contributor.authorSuri, Manil
dc.date.accessioned2023-07-25T21:44:03Z
dc.date.available2023-07-25T21:44:03Z
dc.date.issued2023
dc.descriptionProceedings of Bridges 2023 Conferenceen_US
dc.description.abstractWe consider a variation of tic-tac-toe played on a truncated hyperbolic plane, the inspiration for which arises from using crochet to create hyperbolic geometry. Instead of a 3×3 grid, we now have 13 cells. We show that using some modified rules, each player can again force a draw, as is the case for the usual flat version. We briefly consider tic-tac-toe on a sphere as well, for which we show that the same outcome of a draw holds. Finally, we present a strategy that can be used to choose the best move. Our game variations can be used pedagogically to engender more familiarity with non-Euclidean geometry.en_US
dc.description.urihttps://archive.bridgesmathart.org/2023/bridges2023-497.htmlen_US
dc.format.extent4 pagesen_US
dc.genreconference papers and proceedingsen_US
dc.identifierdoi:10.13016/m2r4ti-xilw
dc.identifier.citationChen, Sarah, and Manil Suri. “A Hyperbolic Variant of Tic-Tac-Toe,” Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture (2023): 497–500. https://archive.bridgesmathart.org/2023/bridges2023-497.html.en_US
dc.identifier.urihttp://hdl.handle.net/11603/28853
dc.language.isoen_USen_US
dc.publisherThe Bridges Organizationen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Student Collection
dc.relation.ispartofUMBC Psychology Department
dc.relation.ispartofUMBC Honors College
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.en_US
dc.subjecttic-tac-toe on a truncated hyperbolic planeen_US
dc.subjecttic-tac-toe on a sphereen_US
dc.subjectvariations of tic-tac-toeen_US
dc.titleA Hyperbolic Variant of Tic-Tac-Toeen_US
dc.typeTexten_US

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