Eye square

I realize that if our eyes were not 4-dimensional we would not be able to perceive 3 dimensions. We would only be able to see two. It would seem that quaternions function almost intuitively like this. Our ability to move our eyes around and adjust these micro changes in size as a result of their rotation around a fixed point helps us to perceive that eye’s images are two-dimensional representations of a three-dimensional space and assign scalar and rotational symmetries to the three seen dimensions.