I don’t know but I bet it means geometry in dimensions greater than 3. For example, to study the shape of the universe on intergalactic scales you need to think of space-time as a 4-dimensional geometry. Or, if you are trying to solve a problem with N simultaneous unknowns then you could use N-dimensional geometry. A solid body has N=5 variables: its location (so far east, north and up) and its orientation (two angles about its center).
To be honest, I had no idea what this meant when you asked the question, but thanks for asking it because I’ve looked it up and it’s really interesting (if a little confusing). As far as I can tell Aimé is definitely right!
Bit of procrastination this afternoon instead of doing my project, but it’s good to learn things outside your own field 😉
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Helen commented on :
It’s when I start hyperventilating whenever anyone mentions geometry! That is SO not my strong point!