All of emiddell's Comments + Replies

In higher dimensions most of the volume of a n-sphere is found close to its shell.

The volume of such a sphere is .  [1] 

The ratio of the volume of a shell to the rest of the ball is 

 

which grows quickly with n. 

The embedding places the tokens in areas where there is the most space to accommodate them.

[1] https://en.wikipedia.org/wiki/Volume_of_an_n-ball

4Bird Concept
Heads up, we support latex :) https://www.lesswrong.com/posts/xWrihbjp2a46KBTDe/editor-mini-guide