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Inside the symmetries of a crystal shape, a postdoctoral researcher has unearthed a counterexample to a basic conjecture about multiplicative inverses.
Representation theory was initially dismissed. Today, it’s central to much of mathematics.
New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another.
In math, sometimes the most common things are the hardest to find.
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