The concept is if a piece of string, and coiling it up so that it takes up a small space. As we move these dots closer to each other, we allow the string to curl up.

Imagine that our task is to make sure the string never touches itself or crosses over itself, even as we push the endpoints closer and closer to each other. Eventually of course, the string will get packed so tightly that it will have to touch itself. But that’s only because physical strings have thickness


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