makes me want to wrap myself in cellophane to see my shape! :D....... no but seriously these animations are great models. Can u use any other shape to cover a sphere without having to use "infinity" AND avoid closing a path? or would the closest to this be a fractal?
@4jeremy9: This is a very good question. The generalization of "no closed path" to two dimension is "every path can be shrunk to a point on the surface" (as in our video "Null-homotopic Paths"). With this generalisation the sphere is its own universal covering space! For other surfaces more complicated things can occur.
Nice work...
cantormath 11 months ago
Comment removed
cantormath 11 months ago
makes me want to wrap myself in cellophane to see my shape! :D....... no but seriously these animations are great models. Can u use any other shape to cover a sphere without having to use "infinity" AND avoid closing a path? or would the closest to this be a fractal?
4jeremy9 1 year ago
@4jeremy9: This is a very good question. The generalization of "no closed path" to two dimension is "every path can be shrunk to a point on the surface" (as in our video "Null-homotopic Paths"). With this generalisation the sphere is its own universal covering space! For other surfaces more complicated things can occur.
bothmer 1 year ago
That's very good! Nicely illustrated.
starkey7uk 4 years ago
odd...
exodd22 4 years ago
thats interesting
mychemroxmisox42 4 years ago
scary very scary
trouvel 4 years ago
very good .
kelemengabi 4 years ago
I bekomme richtig Bock, mal wieder mit Povray 'rumzuspielen. :D
leporidus 5 years ago
this is better than eating shrooms
exiledninja0 5 years ago 4