Counterintuitive Properties of High Dimensional Space (2018)

> 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.

I don't think this is actually true - the actual volume of the sphere grows, but the volume of one grows even faster.