this post was submitted on 04 Oct 2024
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[–] [email protected] 44 points 4 weeks ago* (last edited 4 weeks ago) (1 children)

You'd just continue saying 'volume', alternatively 'k-dimensional volume' or 'volume of the n-dimensional object'. Like for spheres: https://en.m.wikipedia.org/wiki/Volume_of_an_n-ball

The n-dimensional volume of a Euclidean ball of radius R in n-dimensional Euclidean space is:[1]

  • {\displaystyle V\_{n}(R)={\frac {\pi ^{n/2}}{\Gamma {\bigl (}{\tfrac {n}{2}}+1{\bigr )}}}R^{n},}
[–] [email protected] 24 points 4 weeks ago (1 children)

I'm going to start calling area "2-dimensional volume"

[–] [email protected] 19 points 4 weeks ago (1 children)

Only if you also call length "1-dimensional volume".

[–] [email protected] 11 points 4 weeks ago (2 children)

What happens if I turn the dimensional volume up to 11?

[–] [email protected] 7 points 4 weeks ago

Well if it's in 1-dimensional space, then you have a line the length of 11 units.

[–] [email protected] 5 points 4 weeks ago (1 children)

Well, you could just make 10 higher and make that the highest

[–] [email protected] 1 points 3 weeks ago

"But- but this one goes to 11."