this post was submitted on 14 Jul 2025
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Science Memes

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[–] codexarcanum@lemmy.dbzer0.com 13 points 3 days ago* (last edited 3 days ago) (1 children)

It gets worse actually. You can define a number system using any power of 2 amount of i-like units in a similar relationship to quaternions using the Cayley-Dickson construction

Fascinatingly, you lose some property of the algebra at each step. Quaternions aren't commutative: ABC != CBA. Octonians aren't associative: (AB)C != A(BC). Once you get into 16 i's with subscripts, it really gets crazy.

(Also, I just got the joke. Damnit @HappyFrog@lemmy.blahaj.zone your serious answer threw me off!)

[–] HappyFrog@lemmy.blahaj.zone 5 points 3 days ago (1 children)

Hehe, yeah, the joke was too good :P

[–] Klear@sh.itjust.works 1 points 3 days ago

Maybe a bit too complex for its own good.