# A parlor trick for SET

DevFeed: [A parlor trick for SET](<https://devfeed.tech/articles/a-parlor-trick-for-set-40420.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2018/03/25/a-parlor-trick-for-set/>)

Published: 2018-03-25T09:51:34Z

Content type: article

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [math](<https://devfeed.tech/topics/math.md>), [color](<https://devfeed.tech/topics/color.md>)

Tags: [color](<https://devfeed.tech/tags/color.md>), [finite-fields](<https://devfeed.tech/tags/finite-fields.md>), [game](<https://devfeed.tech/tags/game.md>), [invariant](<https://devfeed.tech/tags/invariant.md>), [linear-algebra](<https://devfeed.tech/tags/linear-algebra.md>), [math](<https://devfeed.tech/tags/math.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [set](<https://devfeed.tech/tags/set.md>), [technical](<https://devfeed.tech/tags/technical.md>)

## AI overview

This mathematical article presents a parlor trick for the card game SET. By modeling cards as vectors in the finite vector space F₃⁴, it explains why the remaining visible board uniquely determines the final undealt card when all previously claimed sets were valid.

## Source excerpt

Tai-Danae Bradley is one of the hosts of PBS Infinite Series, a delightful series of vignettes into fun parts of math. The video below is about the same of SET, a favorite among mathematicians. Specifically, Tai-Danae explains how SET cards lie in (using more technical jargon) a vector space over a finite field, and that valid sets correspond to lines. If you don't immediately know how this would work, watch the video.