Inspired by biological systems, materials scientists have long sought to harness self-assembly to build nanomaterials. The ...

Differential geometry is a pivotal field of mathematics that examines the properties of curves, surfaces and more general manifolds by utilising methods from calculus and linear algebra. Its ...

Conventional catalysts for hydrogen production via water electrolysis usually contain precious metals and are expensive. However, cheaper alternatives have been developed, for example cobalt–manganese ...

Often when describing patterns, they are placed in one of two categories: organic or geometric. Organic designs are ones ...

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 ...