Imagine trying to stack oranges as tightly as possible so that no space is wasted. Simple enough in a grocery store. Now imagine doing it in a world with eight dimensions, a space that exists not in ...

Sphere packing and crystallization involve the study of how identical particles arrange themselves in space under pairwise interactions, with sphere packing focusing on the densest arrangement of ...

In 2016, a mathematician quietly solved a problem that had remained open since the time of Isaac Newton and Johannes Kepler. Her name is Maryna Viazovska. The problem is known as the sphere packing ...

The Sphere, the Las Vegas-based orb that Madison Square Garden boss James Dolan spent $2.3 billion to build, is now the world’s highest-grossing entertainment venue — defying initial doomsday ...

Liam Price just cracked a 60-year-old problem that world-class mathematicians have tried and failed to solve. He’s 23 years old and has no advanced mathematics training. What he does have is a ChatGPT ...

Five steps to ensure that you don’t jump to solutions by Julia Binder and Michael D. Watkins When business leaders confront complex problems, there’s a powerful impulse to dive right into “solving” ...

In broad daylight on April 14, a human climbed the most prominent feature of the Las Vegas skyline: the 366-foot-tall, $2.3 billion Sphere. A helicopter hovering over the state-of-the-art ...

It was during “Run Like an Antelope” when the giant guy in the Godsmack shirt behind me finally lost his shit. Those of us sitting near him at Night Three of Phish’s nine-show, three-weekend run at ...

We spend a lot of time thinking about the difficult people in our lives—the friend who can't take feedback, the partner who always has to be right, the coworker who turns everything into a fight. But ...