W: up S: down A: left D: right Q: unfore E: unback Z: refore X: reback (please don't make fun of these made-up names for 4D directions)
So, if you use W A S D to move, it looks like there's just a cube inside of another cube with lines connecting the vertices, right? That's because you're thinking in a 3D mindset. If you use Q E Z X, you'll realize that the 2 cubes were actualy the same size all along with the red lines connecting them along the 4th dimension. The thing is, we don't even SEE in 3D, we just see 2D projections of 3D space. Just like that, 2D beings can only see in 1D (a line segment) So for them, to SEE area would be mind-boggling. Hypothetical 4D hyperbeings actually SEE volume, unlike us. To think in 4D, we must think of 3D as flat. To see cubes seemingly intersecting, but actually perpendicular. This simulation helps you to understand this better. I strongly recommend watching HyperCubist Math's series "Visualizing 4D" for better understanding. (Major thanks to @GonSanVi for programming) I turned @GonSanVi's 4D Tesseract engine into a movable object. This is a 4D hypercube, projected into 3D, and projected into 2D. In 4D, instead of rotating around axes, you rotate around planes. There is no sorting, so you might have a bit of an issue visualizing it. This is why @GonSanVi added colors.
