Movement: local and global, in two to four dimensions

[enigmania]

Current move-to-Berlin plan: I leave about a week into October, and stay at one of the Max Planck gueshouses till the end of that month. Uwe comes with me for a week of apartment hunting and then returns to Milwaukee to finish packing, sorting out boa-constrictor-importing and cyclocross racing season

Comments

[indicolite]

Did you take the option of getting pure HTML for the Meme? They did say that LJ has compatibility problems with the code they provide automatically.

Is there a 4-dimensional equivalent to knots, though, that cannot be untangled unless we have access to a fifth? Is there such a thing as n-dimensional knots that require n+1 dimensions to untie?

[enigmania]

Ah, I didn't check for a pure HTML option.

I think the analogous higher-dimensional equivalent would be a sphere surface interwoven with itself using the fourth dimension, and that one could continue with n-spheres. Dimensions are tricky things to generalize, though, because the lower ones that humans can intuit sometimes have atypical properties.