I have to say that I really couldn’t follow your fourth dimension. But when I read the “easier tool”, then I saw the purpose of your article. I just wasn’t trained to think in that 4th way.
Back in university, we took a course that used “stereonets.” The purpose was to follow geological trends with limited information. The stereonet was just a circle in clear plastic with some markings. It was placed on another circle on cardboard with some markings on it. But rotating the two circles relative to other, the two sets of markings would line up to show where the gold vein was going to go. Basically we were using two 2-D images to build a 3-D model.
I never did figure out how this stereonet worked. Most of my classmates were flummoxed. The only guy who understood was a low-performing engineering student who smoked way too much drugs. He could set up and flip that stereonet around to find the right answers.