If we assume the world is a cube, I would think of 4D as a several projections of 3D cubes in another 3D cube. For higher dimension, I find myself in algebraic

If we assume the world is a cube, I would think of 4D as a several projections of 3D cubes in another 3D cube. For higher dimension, I find myself in algebraic topology. This is really tortuous to think of these concepts.