Mathematicians, freed in their imaginations from physical constraints, can conjure up descriptions of objects in many more dimensions than that. Points in a plane can be described with pairs of ...

It can be tempting to assume that your intuitions about three-dimensional space carry over to higher-dimensional realms. After all, adding another dimension simply creates a new direction to move ...

It's not easy to imagine dimensions higher than the three that we exist in, but in math, higher dimensions are used all the time. As pointed out in this video from 3Blue1Brown, there are some ...