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> Generalizations to higher dimensions[1] also have some fun properties. For one, the volume of a n-dimensional sphere (ball) goes to zero as n goes to infinity
by enriquto 7y ago
> Generalizations to higher dimensions[1] also have some fun properties. For one, the volume of a n-dimensional sphere (ball) goes to zero as n goes to infinity.
Well, the same thing happens with cubes, doesn't it? (as long as the side is smaller than 1)
- magicalhippo 7y agoFrom what I gather, the difference is that it happens for n-dimensional spheres regardless of the radius, while as you say for n-dimensional cubes only for those with sides less than one. But I'm no expert so.