(Suppose to ignore the deformed friction and torus when rotating) https://i.stack.imgur.com/aTmzy.png

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    $\begingroup$ What exactly is your question? $\endgroup$ – lmr Apr 13 '19 at 10:35
  • $\begingroup$ What happens if you rotate as shown on the picture? $\endgroup$ – Peter Parker Apr 13 '19 at 10:40
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    $\begingroup$ You get another torus, topologically equivalent to the first one. Rotation doesn't change topological properties. $\endgroup$ – Mauro Giliberti Apr 13 '19 at 11:10

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