Freya Holmérmy talk "Why can't you multiply vectors?" is now live on youtube!! 🎉
Anders Lindqvist@acegikmo I am currently trying to get into geometric algebra (and friends) so this was perfect for me! Thanks!
@breakin I'm glad!
@acegikmo I'm currently trying to find material where the presenter starts with no linear algebra and instead build up something from "nothing" with some geometric intuition and figures. I have found some but it is confusing with all the different flavors of clifford algebra right now but trying to work through it! Having one more easily accessible video helps!
@breakin Yeah. I think part of my frustration with most sources online is that it feels like several loose definitions with no real axiom tying it all together, and it becomes hard for me to visualize or even imagine I would implement something like it
it didn't click for me until I found the v² = |v|² axiom. The only other assumption you need is orthonormal basis vectors, and then you're good to go pretty much!
@breakin this is also why I had a basis-first approach to this presentation, because they make it much more clear how you would actually implement it in code (ie: as coefficients of each basis)
@acegikmo For me the frustration is a lot that each person who present chooses some axioms but then I am unsure how to interpret the fields as a whole. But that is probably not the right approach if one wants to write code; your approach is probably more practical!
@acegikmo I am unsure that I in hindsight will understand why I was frustrated once it clicks more :)
@breakin yeah, in the end, GA is still very much in flux, there is no established standard yet, and so we're all just picking our favorite approach and going from there, for better or worse
like, me assuming an orthonormal basis, for example, will have some people upset because there are GAs that work without that assumption
@acegikmo Upsetting math people is the goal though so that sounds good!