Seeing lots of discussion here! People with a game programming background might get something out of the talks I gave at the Game Developer Conference this year. The first one is on quaternions and and the advanced Geometric-Algebra-like use of them by Crytek and Disney to do animation https://gdcvault.com/play/1029233/ and the other is on how you can use that to get intersection, distances, angles, and projection in one line of code https://gdcvault.com/play/1029237/
xeonmc|2 years ago
Intuitively I think the 5 secondorder terms would correlate to the 2-blades in (3,0) algebra but I've no idea whether or not it could simplify computation.
https://web.archive.org/web/20030521145638/http://www.resear...