When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier- sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...

An important goal in image analysis is to cluster and recognize objects of interest according to the shapes of their boundaries. Clustering such objects faces at least four major challenges including ...

Join our daily and weekly newsletters for the latest updates and exclusive content on industry-leading AI coverage. Learn More State-of-the-art machine learning algorithms can extract two-dimensional ...

The researchers programmed various photos as target shapes on the two-dimensional spectrograph. Shown here is a team member’s ...

Is it possible to fill space “cubically” with shapes that act like spheres? A proof at the intersection of geometry and theoretical computer science says yes. In the fourth century, the Greek ...

A research team has discovered how catalysts and many other nanoplatelets can be produced in an environmentally friendly way from readily available materials and in sufficient quantities. Hydrogen is ...

Hydrogen is considered an environmentally friendly alternative to conventional fossil fuels. Until now, expensive and rare substances such as platinum have been needed for its catalytic production, ...