Synchronization abounds in nature: from the flashing lights of fireflies to the movement of fish wriggling through the ocean, ...

In the core of a knitting machine or at the tips of a skilled knitter’s needles, a strand of fiber can be transformed into anything from a delicate scarf to a bulletproof vest. But different knitting ...

Life’s origin story just became even more mysterious. Using mathematics and information theory, Robert G. Endres of Imperial College London found that the spontaneous emergence of life from nonliving ...

Scanning the crowd at a fancy soiree may reveal a wide array of neckties, each fastened with a highly complex mathematical object masquerading as fashion. An entire field of mathematics is devoted to ...

Canadian Christian apologist Calvin Smith says his recent interaction with Grok 4, the artificial intelligence platform backed by entrepreneur Elon Musk, revealed starkly different answers depending ...