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@icedquinn Yeah, he probably couldn’t do it back then that way. And I might have been talking out of my ass as per Maxwell in general; I wasn’t taught his equations in the quaternion form and can’t even find that formulation right now to check.

I see quaternions pop up a lot in 3D graphics though, and you get the same math but with a cleaner explanation with GA: https://marctenbosch.com/quaternions
In particular, the weird 4D thing disappears (though quaternions used for 3D rotations aren’t really 3D, as only unit quaternions are used and thus one coordinate is redundant).

Though the real fun with GA starts when you stop aping the standard 3D transformation formulas and leave humanity behind with something like representing 3D points as vectors in a 5D space with (++++-) signature (so squared magnitue of a vector is something like x^2 + y^2 + z^2 + w^2 - u^2).

(also sorry for the late response, I was distracted by the thread that went from sideloading apps on iOS to the history of feudalism)