The other day i was watching an episode of Tom and Jerry in which a similar situation was present toms head comes out of his own mouth. My head hurts when i think how is that even possible so i googled couldn't find any good answer, all the answers were vague without any proof. So i'm asking here.
Consider the torus as shown in the image eating itself. Now...
a)Assuming the torus to be finite length (When it is not eating itself). A mathematical proof for how far it can go.
Note: Intuitively i think it will devour itself until the hole in the torus reduces to a zero value.
b) What if we consider the entire surface of the torus at its hole can pass through without any physical boundaries. Then how far would it devour itself ? will it disappear into a point ? or will it eat itself forever without any end.
c) Now what will the characteristics be if both ends of this torus would increase its length infinity.
please try not to give any answers based on logical reasoning without a mathematical proof.