I am trying to draw the following situation using any graphic program but I couldn't since I don't know how to make the animation. So your help is greatly appreciated.
So my picture consists of two objects:
In the bottom of the page, a torus with animated "irrational" line wrapping the torus like this video
And above this torus, a pipe (cylindrical line) animated simultaneously with wrapping line in the tours. (For example like this video but in our situation the pipe doesn't close up!)