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ASYMPTOTIC LINE OF THE TORUS
open torus 
horn torus 
spindle torus 
Toric differential equation: ,
for the torus .
Toric equation: , with if a > b (open torus) and if a < b (spindle torus).

Note that since the asymptotic lines only pass through hyperbolic points, they only exist in the internal part of the torus.
See also the geodesics of
the torus.
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© Robert FERRÉOL 2018