4 ms·
> The volume of the unit -sphere goes to 0 as grows! A high dimensional unit sphere encloses almost no volume! The volume increases from dimensions one to five,
by brazzy 2y ago
> The volume of the unit -sphere goes to 0 as grows! A high dimensional unit sphere encloses almost no volume! The volume increases from dimensions one to five, but begins decreasing rapidly toward 0 after dimension six.
What the absolute fuck?
That one caught me truly off guard. I don't think "counterintuitive" is a strong enough word.
- Anotheroneagain 2y agoI don't think this is actually true - the actual volume of the sphere grows, but the volume of one grows even faster.