2025/07/15 by Andrey Boris Khesin, Tanya Khovanova, Khesin, Andrey Boris +1
Mathematics · #FOS: Mathematics #History and Overview (math.HO) #History and Theory of Mathematics #Mathematical and Theoretical Analysis #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2507.11235
openalex publication_date 2025/07/15 · openalex created_date 2025/10/08 · openalex updated_date 2026/07/28
The game of SET is one of the best mathematical games ever. It is no wonder that people have tried to generalize it. We discuss existing generalizations of the game of SET to different groups. We concentrate on two types of generalization: a) where a set consists of cards that multiply to the identity; b) where a set consists of three cards that form an arithmetic progression. We finish with a discussion of some properties of the games that influence how enjoyable they are.