# 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 $\left(\begin{array}{c}\!\!3v\\\!\!4v\end{array}\!\!\right)$?

$Cv=\cos v$