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Teen Mathematicians Tie Knots Through a Mind-Blowing Fractal | Quanta Magazine

Three high schoolers and their mentor revisited a century-old theorem to prove that all knots can be found in a fractal called the Menger sponge. Introduction In the fall of 2021, Malors Espinosa set out to devise a special type of math problem. As with any good research question, it would have to be thought-provoking, its solution nontrivial — something others would want to study. But an additional constraint stumped him. Malors, then a graduate student in mathematics at the University of Toron...

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