We live in a three-dimensional reality. Because of that, it's pretty hard to imagine what a four-dimensional reality might be like, but that isn't stopping physicists from trying to figure it out. A ...

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 ...

It goes by many names: the hypercube, the 8-cell, or the octochoron. It is represented by many shapes; a small cube inside a larger cube, two cubes connected by a bridge, a cube with slightly skewed ...

A tesseract is a four-dimensional cube, named and described by the British mathematician Charles Howard Hinton in his book “The Fourth Dimension,” which was written in Japan and published in the UK in ...