Korean J. Math. Vol. 33 No. 4 (2025) pp.381-388
DOI: https://doi.org/10.11568/kjm.2025.33.4.381

Affine relations in the card game SET and related games

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Published: Dec 30, 2025
Keywords:
finite geometry, affine geometry, affine relation
Mathematics Subject Classification:
51E26, 51E10, 97U60

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Hanchul Park
Department of Mathematics Education, Jeju National University, 102 Jejudaehak-ro, Jeju-si, Jeju-do 63243, Republic of Korea

Abstract

The game of SET is a popular card game that involves finding particular visual patterns. In this paper, we introduce a new game rule using a SET card deck, and show that the game is equivalent to finding an affine relation in the affine space $AG(4,3)$. Furthermore, we observe that similar approaches can be applied to other SET-like card games related to finite affine spaces over other finite fields.



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