Riemannian manifolds furnish a rich arena in which geometry and analysis intersect, driven by the study of special holonomy, curvature flows and calibrated submanifolds. Central to this field is the ...

Now, the researchers have created a new class of shape-changing matter, based not on folds or cuts, but linkages — networks ...

Recent breakthroughs in artificial intelligence have uncovered surprising geometric structures within large language models (LLMs) like ChatGPT. These findings offer a new perspective on how these ...

See more of our trusted coverage when you search. Prefer Newsweek on Google to see more of our trusted coverage when you search. Researchers have discovered geometric, hollow, ball-like structures in ...

Geometric group theory and discrete mathematics intersect in the study of groups through the lens of geometric and combinatorial structures. At its core, geometric group theory probes how algebraic ...

Metamaterials and metaoptics offer a broad dimension to explore exotic functionalities in physics and optics. In a new report now published in Science Advances, Jie Peng and a team of scientists in ...

Is it a geological fluke, or are we looking at the blueprints of a lost civilization? Buried beneath the Martian dust lies a structure so perfectly geometric that NASA scientists are wondering: Did ...