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[-] ComicalMayhem@lemmy.world 2 points 1 month ago

Wait, I thought the volume of a sphere approaches 0 as dimensions go to infinity, no? Thr general formula for the volume of any nth dimensional sphere has the gamma function in the denominator, which rises faster than whatever is in the numerator. At some point (5 dimensions, iirc) the volume starts decreasing

[-] pankuleczkapl@lemmy.dbzer0.com 2 points 1 month ago

Yes, but we aren't talking about the limit of the volume. We are talking about volume in actually infinite dimensional space.

this post was submitted on 23 Apr 2026
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