We all know we live in three-dimensional space. But what does it mean when people talk about four dimensions? Is it just a bigger kind of space? Is it "space-time," the popular idea which emerged from ...

After just a few months of work, a complete newcomer to the world of sphere packing has solved one of its biggest open problems. In math, the search for optimal patterns never ends. The sphere-packing ...

The telescope conjecture gave mathematicians a handle on ways to map one sphere to another. Now that it has been disproved, the universe of shapes has exploded. In early June, buzz built as ...