3 ms·
> an infinite dimensional orange is all skin Huh?
by Jeff_Brown 5y ago
> an infinite dimensional orange is all skin
Huh?
- jerf 5y agoAs you increase the dimensionality of a sphere, an ever-increasing proportion of the sphere is within epsilon of the surface. This 3Blue1Brown video addresses enough related stuff that the rest should become reasonably comprehensible: https://www.youtube.com/watch?v=zwAD6dRSVyI https://www.youtube.com/watch?v=zwAD6dRSVyI This particular result is tossed in as a side note around 23:25, so it's not addressed directly, but it'll help.