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19th-century mathematicians thought the “roots of unity” were the key to solving Fermat’s Last Theorem. Then they discovered a fatal flaw.

The circadian clock is in nearly every cell, and researchers have untangled many of its secrets. But sleep has been harder to pin down.

The simple Möbius strip illustrates a deep mathematical challenge that has long tormented the field of symplectic geometry.

Without viruses, we might never have evolved.

Life might have originated in droplets that behave surprisingly like living cells.

Just five days after posting a retraction, László Babai announced that he had fixed the error in his landmark graph isomorphism algorithm.

The ancient study of an object’s curvature is guiding mathematicians toward a new understanding of simple equations.

The legendary graph isomorphism problem may be harder than a 2015 result seemed to suggest.

Can you turn a two-dimensional fractal into a 3-D object? Break out your scissors and tape for a chance to win a 3-D printed sculpture.