[tysam_and]

It depends upon what metric you use to measure it.

Of course with Euclidean it will as that seems to match our expectations for low dimensional space.

I'm not a mathematician so there is not much more that I could say on the matter at this juncture.

[j7ake]

The volume of an n-ball has been calculated for other non-Euclidean distances.

For p goes to infinity, the unit "ball" becomes a "cube" of two units wide per side.

https://en.wikipedia.org/wiki/Volume_of_an_n-ball#Balls_in_L...

https://www.johndcook.com/blog/2010/07/02/volumes-of-general...

[tysam_and]

Many thanks, I've been wondering about this one for quite a while. <3 :))))