Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? The concept of aperiodic geometry has existed for at least 1,000 years from Islamic ...

A group of mathematicians has shown that at critical moments, a symmetry called rotational invariance is a universal property across many physical systems. For more than 50 years, mathematicians have ...

Quantum computers promise to solve problems that overwhelm classical machines, but their most stubborn obstacle is noise that scrambles fragile quantum states before any useful answer emerges. A new ...

For more than 50 years, mathematicians have been searching for a rigorous way to prove that an unusually strong symmetry is universal across physical systems at the mysterious juncture where they’re ...