The hidden geometry of SET (

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?
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