Toward a Combinatorial Theory of SET and Related Card Games
Combinatorics
2021-11-10 v4
Abstract
We define a natural equivalence relation on collections of cards from the card game SET, and enumerate some of the equivalence classes, vastly generalizing the standard game. On this basis, we describe several alternative games for the SET deck, including the game of STUN, in which the goal is to find three cards with exactly two values in each attribute.
Cite
@article{arxiv.2010.01882,
title = {Toward a Combinatorial Theory of SET and Related Card Games},
author = {Jonathan Schneider},
journal= {arXiv preprint arXiv:2010.01882},
year = {2021}
}
Comments
January 2021: Section 4 has been updated, now includes reference to ternary code isometry. October 2021: The game EvenQuads is now mentioned in section 5