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AI is helping mathematicians build a periodic table of shapes

The color bands represent shapes of a certain dimension and shape.

Coates, T., Kasprzyk, AM & Veneziale, S. (2023)

Mathematicians trying to construct a “periodic table” of shapes have turned to artificial intelligence for help, but say they don’t understand how it works or whether it can be 100 percent reliable.

Tom Coates of Imperial College London and his colleagues are working to classify forms known as Fano manifolds, which are so simple that they cannot be broken down into smaller components. Just as chemists arranged the elements in the periodic table according to their atomic weight and…

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