5 ms·
In the article the unit cubes have side length 1. So isn't the volume always 1, whatever the dimension?
by masfuerte 3y ago
In the article the unit cubes have side length 1. So isn't the volume always 1, whatever the dimension?
- cbright 3y agoYes, the volume of the unit cube is 1 in any dimension, but the volume of the unit sphere goes to 0 as the dimension increases.
- spoonfeeder006 3y agoI believe thats because volume is a measurement of the ratio between "amount of stuff" in the hyper-object vs the amount of stuff in a hyper-cube The amount of stuff increases with higher dimensions in a sphere, but not as fast as with a cube, hence the ratio between the two converge to zero
- deleted 3y ago[deleted]