Loosely, there seem to be at least two different notations & jargons for describing geometric objects and operators in 3D PGA.
What I’m calling the “BiVector” model: the 2019 Siggraph course, alot of the discussion on Bivector.net, and the Klein library.
And the “Lengyel” model, as outlined at http://projectivegeometricalgebra.org/
As I understand it, mathematically, the two models are consistent. But there are alot of differences, both in the jargon used and also in the notation; egs Antivectors, e0 vs e4, “bulk norms”, “weight norms”, “ideal norms”, the way that Points and Planes are represented.
I’d like to develop an ability to mentally translate back and forth between the notational conventions, so as to reconcile the material in both places into one coherent system.
Does anyone have a cheat sheet for mapping between the terminology? or some pointers to how to build such a mapping…