From @johncarlosbaez's thread https://twitter.com/johncarlosbaez/status/1195739505984073731 … I have realized that the hyperbolic manifold we have been flying through in some videos is kind of a 3D version. The genus 4 Riemann surfaces themselves can be seen as tot.geo. submanifolds (they look like circles).pic.twitter.com/nbJIPqd0tB
-
Wow! What’s a description of this 3 mfld? Awesome as always!
Thanks! We do the same computations as usual for {4,3,5} tiling in the hyperboloid model, but in the field F₂₅ instead of reals. Two cells of the actual {4,3,5} are identified (in some orientation) iff the isometry matrix taking one to other computed in F₂₅ equals identity.
-
-
The video is the dual {5,3,4} of course. Such symmetric manifolds are very natural, so I would not be surprised if this particular manifold has some name, or could be obtained in some other way.
-
I don't quite understand this but I should be able to. Are you doing something with the {5,3,4} honeycomb described here: https://en.wikipedia.org/wiki/Order-4_dodecahedral_honeycomb … ?pic.twitter.com/dxi40NH8F8
- Još 2 druga odgovora
Novi razgovor -
Čini se da učitavanje traje već neko vrijeme.
Twitter je možda preopterećen ili ima kratkotrajnih poteškoća u radu. Pokušajte ponovno ili potražite dodatne informacije u odjeljku Status Twittera.