We all know we live in three-dimensional space. But what does it mean when people talk about four dimensions? Is it just a ...

For decades mathematicians have searched for a specific pair of surfaces that can’t be transformed into each other in four-dimensional space. Now they’ve found them. In geometry and the closely ...

In our three-dimensional space, elementary particles neatly filter into either bosons or fermions. But in lower dimensions, that distinction gets a bit murky.

Ever wondered what four dimensions really mean? Discover why knots can’t exist in 4D space — and how mathematicians use cubes and clever analogies to understand higher dimensions.