In One Dimension, did not a moving Point produce a Line with two terminal points?

In Two Dimensions, did not a moving Line produce a Square with four terminal points?

In Three Dimensions, did not a moving Square produce⁠—did not this eye of mine behold it⁠—that blessed being, a Cube, with eight terminal points?

And in Four Dimensions shall not a moving Cube⁠—alas, for Analogy, and alas for the progress of truth, if it be not so⁠—shall not, I say, the motion of a divine Cube result in a still more divine organization with sixteen terminal points?