You have a square thin piece of paper, 1-inch side. Can you, using only a blade (or a pair of scissors or whatever), make a hole in this paper and through it pass a solid sphere with diameter, say, 5 inches?
cut a square thin spiral as many times as you can to make one long
strip, and then pinch the ends together, creating a loop. Should be big
enough, and I could probably tell you the calculus proof as to how thin
the cuts need to be.