Re:Projective Geometric Algebra Done Right
by jacobolus on Wednesday January 29, 2020 @02:04AM
(#22178188)
> GA hasn't been picked up is that it actually isn't that great when you're out of the math theoryland
Personal anecdata: I regularly do like 3–4 pages of obnoxious scratchwork in terms of coordinates, get stuck, feel like I’ve probably made some trivial errors along the way, etc., experience deja vu, and then recast everything in GA.
Then the alternative work-through ends up taking like 3–5 lines of simple algebra, with a clear geometric interpretation for every step, and way less hassle.
This has now happened maybe a dozen times over the past few years. Maybe I’ll eventually learn better and start out in GA land.
Personal anecdata: I regularly do like 3–4 pages of obnoxious scratchwork in terms of coordinates, get stuck, feel like I’ve probably made some trivial errors along the way, etc., experience deja vu, and then recast everything in GA.
Then the alternative work-through ends up taking like 3–5 lines of simple algebra, with a clear geometric interpretation for every step, and way less hassle.
This has now happened maybe a dozen times over the past few years. Maybe I’ll eventually learn better and start out in GA land.