What's the status of those things that exist in the same way regardless of number of dimensions? Things like calculating a volume, constructing an orthogonal base, calculating distances - all the linear algebra stuff that applies to geometry.

Ideally, it would all be the same code base (or transformation rule set).

I know nothing about the geometric module project or its goals, so I'm not sure whether this kind of thing is even useful for the project, let alone doable. But I'd like to know. The question which of the various geometric ADTs and algorithms transfer neatly to higher dimensions, which do not, and which are mere analogies has been haunting me since high school, so I'm too curious to not ask ;-)

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