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

Platonic solids are regular bodies in three dimensions, such as the cube and icosahedron, and have been known for millennia. They feature prominently in the natural world wherever geometry and ...

Yes, it is possible to create a three-dimensional image of a four-dimensional object: a hypercube is the four-dimensional analogue of a cube, and it has a well-known three-dimensional image that looks ...

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.