[aap_]

Because quaternions are so cool yet under-appreciated. Unfortunately not many octonion posts.

[rsfern]

Octonions are cool! The one application I’m familiar with is in crystallography - you can represent the interface between two crystals with a unit octonion https://doi.org/10.1016/j.actamat.2018.12.034

(Open access pdf: https://par.nsf.gov/servlets/purl/10098941)

Can you give some pointers to other interesting applications?

[mikhailfranco]

Fundamental physics:

https://www.quantamagazine.org/the-octonion-math-that-could-...

Also see the work of John Baez:

html https://math.ucr.edu/home/baez/octonions/octonions.html

pdf https://math.ucr.edu/home/baez/octonions/octonions.pdf