The hidden geometry of SET (#SoME2)

The family game SET is a quick-paced game of pattern recognition. However, there's more than meets the eye. It turns out that one can view the game in a geometric way. Through a clever correspondence the game is translated to finding lines in F_3^4! This connection allows for many beautiful constructions. This video was made for the 3Blue1Brown second Summer of Math Exposition "competition" (#SoME2). See the following video for more information:    • Summer of Math Exposition 2 Invitation   Sources I used for this video: https://www.tandfonline.com/doi/abs/1... http://homepages.warwick.ac.uk/staff/... Music in this video: "Deep Relaxation" Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 4.0 Licensehttp://creativecommons.org/licenses/b... Hachiko (The Faithtful Dog) by The Kyoto Connection | https://freemusicarchive.org/music/Th... promoted by https://www.chosic.com/free-music/all... Commons CC BY-SA 3.0https://creativecommons.org/licenses/... Chapters: 00:00 - Introduction 00:23 - The rules 02:20 - Cap Sets 03:04 - Finite dimensional vector spaces 04:32 - F_3^2 06:25 - Explicit connection between SET and F_3^4 08:35 - Quick recap 09:02 - Magic Squares 10:48 - Remaining Cards 11:58 - Cap Sets in detail 12:32 - Maximal 2-cap 13:27 - Maximal 3-cap 14:49 - General d-caps Made entirely in Blender: https://www.blender.org/ I have some free add-ons, you can find them here: https://github.com/WannesMalfait/Blen... Any suggestions? Leave a comment