Is it like having a complete n-dimensional construct in your head that you can view in its entirety?
I can visualise 4-dimensional polyhedra, in much the same way I can draw non-planar graphs on a sheet of paper, but it’s not what I imagine being able to visualise higher-dimensional objects to be like.
I used to be into Rubik’s Cube, and it’s quite easy for me to visualise all six faces of a 3D cube at once, but when visualising, say, a 4-octahedron, the graph is easy to visualise, (or draw on a piece of paper, for that matter), but I can only “see” one perspective of the convex hull at a time, with the rest of it abstracted away.
Is it like having a complete n-dimensional construct in your head that you can view in its entirety?
I can visualise 4-dimensional polyhedra, in much the same way I can draw non-planar graphs on a sheet of paper, but it’s not what I imagine being able to visualise higher-dimensional objects to be like.
I used to be into Rubik’s Cube, and it’s quite easy for me to visualise all six faces of a 3D cube at once, but when visualising, say, a 4-octahedron, the graph is easy to visualise, (or draw on a piece of paper, for that matter), but I can only “see” one perspective of the convex hull at a time, with the rest of it abstracted away.