An entertaining topological party trick that I have seen performed is to turn your pants inside-out while having your feet tied together by a piece of string. For a demonstration, check out this video.
I have heard some testimonial evidence that it is also possible to turn your pants backwards, again with the constraint of having your feet tied together. This second claim seems pretty dubious to me.
Question. Is it indeed possible to turn your pants backwards, while having your feet tied together by a piece of string? A set of instructions or a video demonstration would suffice for a yes answer. A precise mathematical formulation of the problem together with a proof of impossibility would suffice for a no answer.