Since there's currently an article about quaternions on the front page, it felt like a good time to bring up bivectors, which in my opinion are a much more elegant way to do rotations.

Particularly, I think this part is insightful:

> In 3D, a bivector has three coordinates, one per plane: (xy, xz, and yz). Vectors also have three coordinates, one per axis (x, y and z). Each plane is perpendicular to one axis. This is a coincidence that only happens in three dimensions and it is why historically we have been confusing bivectors with vectors.