seven circles in a torus


this right graffiti uses the  initial GPS of a torus to mark 7 copies of S^1 (circles) and between them being parallel and/or transversal… how?

which is the maximum open domain to maintain injectivity?

What about sending \left(\begin{array}{c}\!\!v\\\!\!2v\end{array}\!\!\right)?.. Or \left(\begin{array}{c}\!\!3v\\\!\!4v\end{array}\!\!\right)?

 

 

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