SET! From Groups to Games
History and Overview
2025-07-16 v1
Abstract
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.
Cite
@article{arxiv.2507.11235,
title = {SET! From Groups to Games},
author = {Andrey Boris Khesin and Tanya Khovanova},
journal= {arXiv preprint arXiv:2507.11235},
year = {2025}
}
Comments
10 pages, 10 figures