Replying to @WhereIsMuninn?🇪🇺

A clever 2D person could try to draw a 3D cube. A simple switch in how they label axes might help them imagine higher dimensional shapes. Their actual drawings are probably 1D lines on 1D paper, but let's think about a sculpture of a square in their world. Here it is displayed with axes depicting the two directions x and y. These are the two directions that can describe anything within the 2D world. But by relabeling the y-axis as a new axis called z, a clever flowering can depict shapes that stretch outwards, perpendicular to their plane, hinting at a third dimension, the z-dimension. The y-dimension hasn't disappeared, rather it has been temporarily set aside in this diagram to accommodate the z-dimension. By merging these perspectives, the flattening begins to conceptualize a cube. We can do the same. We often work with the three axis directions of x, y and z, but we can cross y out for now and replace it with w. We're now looking at a four-dimensional shape, seeing how it extends into the x, z, and w directions, perpendicularly away from us. But we did have to trade the knowledge of what's going on in the y-direction. If we remember what it was doing in y, though, we can merge the two perspectives and picture the higher-dimensional shape. PS, I wrote a whole book about dimensions available at tvs.com.