Trying to explain some things…
@jack Love it. But — does scalar belong here, as a spatial thing? Not a rhetorical question!
@benjohn This is a sketch for the docs for my geometric algebra library. In GA, objects have “grades” that indicate their dimensionality, starting from grade-0 (a magnitude without direction), and going up from there. This diagram is meant to accompany some explanatory text that should (hopefully) make clear what’s happening.