Oh wow, that's what the square wheel is used for?
I saw this at a science convention several years ago. A guy on a bicycle with square wheels rode on a specially made path of peaks and valleys. The peaks and paths meshed perfectly with the square wheel and gave the rider the same smooth ride as if he was riding on round wheels.
At the convention, the focus was on interpreting the shape of the "wheel" into appropriate peaks and valleys for smooth rotation. It was proven that almost any continuous shape could have a corrosponding shape to ensure smooth rotation.
For the most part, everyone pretty much treated the square wheeled bicycle as nothing more than a curio. Apparently this guy knows the theory well enough that he applied it to rolling heavy stone blocks into place. Now that’s impressive.