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Ive got several fun things for you this video. An unsolved problem, a very elegant solution to a weaker version of the problem, and a little bit about what topology is, and why people care. But before we jump into it, its worth saying a few words on why Im excited to share the solution. When I was a kid since I loved math and sought out various mathy things, I would occasionally find myself in some talk or a seminar where people wanted to get the youth excited about things that mathematicians care about. A very common go-to topic to excite our imaginations was topology. We might be shown something like a Mobius strip, maybe building it out of construction paper by twisting a rectangle and gluing its ends. Look!, wed be told as we were asked to draw a line along the surface. Its a surface with just one side! Or we might be told that topologists view coffee mugs and donuts as the same thing since each has just one hole. But these kinds of demos always left a lurking question.