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

The book Flatland: A Romance of Many Dimensions by Edwin A. Abbott explores the concept of physical dimensions through characters who encounter higher-dimensional beings. The protagonist, “A. Square,” ...

In Einstein's famous theory of relativity the concepts of immutable space and time aren't just put aside, they're explicitly and emphatically rejected. Space and time are now woven into a coexisting ...

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 the illustration: A tesseract (a four-dimensional cube) and the "shadow" it casts on a plane—the quasicrystal discovered by Shechtman. According to Prof. Bartal, "The fact that a quasicrystal is a ...

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.