Assertion: flat torus | /r/HasProperty | embedded into three-dimensional space
Facets:
value: by the nash embedding theorem
type: CAUSE
Source sentences:
text: Although having a different geometry than the standard embedding of a torus in three-dimensional Euclidean space, the square torus can also be embedded into three-dimensional space, by the Nash embedding theorem; one possible embedding modifies the standard torus by a fractal set of ripples running in two perpendicular directions along the surface.