4 ms·
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 http
by rsfern 2y ago
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 https://doi.org/10.1016/j.actamat.2018.12.034
(Open access pdf: https://par.nsf.gov/servlets/purl/10098941 https://par.nsf.gov/servlets/purl/10098941)
Can you give some pointers to other interesting applications?
- mikhailfranco 2y agoFundamental physics: https://www.quantamagazine.org/the-octonion-math-that-could-underpin-physics-20180720/ 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 https://math.ucr.edu/home/baez/octonions/octonions.html pdf https://math.ucr.edu/home/baez/octonions/octonions.pdf https://math.ucr.edu/home/baez/octonions/octonions.pdf