The five Platonic solids are the epitome of perfection—at least in mathematics. Topology explains why there are only five of ...

Polyhedra are three-dimensional shapes made from flat polygonal faces and straight edges. Common examples include cubes, pyramids and octahedrons.A polyhedron is called noble when it has a high level ...

We’ve covered a lot of noisy headlines about solid-state batteries, which will supposedly be “the kiss of death for gas cars,” by delivering hundreds of miles of range and then recharging in minutes.

Researchers solved the mystery of how soft lithium dendrites crack the hard ceramic inside solid-state batteries, triggering short circuits. The breakthrough could help engineers build safer, ...

A State College Area School District student won a major science research award. Connor Hill, 17, cracked a complex geometric problem to win the $250,000 grand prize. Hill plans to use the money for ...

The manipulation of metals as they transform from a liquid to a solid can have immense benefits for technologies. A new study finds that the manipulation of stationary atoms in a liquid metal can ...

Can you drill a hole in a cube that an identical cube could fall through? Prince Rupert of the Rhine first asked this question in the 17th century, and he soon found out the answer is yes. One can ...

After more than three centuries, a geometry problem that originated with a royal bet has been solved. Imagine you’re holding two equal-size dice. Is it possible to bore a tunnel through one die that’s ...

Toyota is doubling down on the “holy grail” of EV tech — all-solid-state batteries. Its first EV could arrive as soon as 2027, promising longer driving range, faster charging times, and more. Toyota ...