# Continuously deform 2-torus with a line through one hole to make it go through both

The problem is in this video at 18:00.

If you have a 2-holed 2D torus with a line ($\mathbb{A}^1$) going through one of its holes. How do you deform it to make the line go through both holes.

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The two-holed "torus" is not $S^1\times S^1$. It could be argued to be (homotopy) equivalent to the wedge sum $S^1\wedge S^1$ for the purpose of this exercise, though. –  Henning Makholm Feb 10 '12 at 13:01
Whoops.. you are right.. I edited that out! Thanks. –  aelguindy Feb 10 '12 at 13:16