Hi folks.
One of my hobbies is making 3D computer images. Recently, I began to understand that mapping the surface of a 3D object into 2D was an exercise in some other dimension.
There are certain mapping problems that cannot be resolved without approximation. What I'm referring to can best be described by referring to a familiar mapped and textured object--the globe. All the maps you see of the "peeled" globe (interrupted projections) are approximations because the peeling itself (being rounded) must be stretched or compressed in places to lay flat in 2D.
I am usually dealing with planar maps of a spherical projection of a 3D body.
When everything is laid flat, you can see all the surfaces of the body at the same time. This reminded me of a painting I once saw of a table with all four legs visible. I think the painting was an exploration of that concept of stepping into another dimension. (Does anyone have links to paintings like that?)
It took me a while to be able to "see" the body in those projections, but now I can see it almost as well as in 3D space. Still lots of surprises though. Most of the times I guess "wrong" on the placement of a feature in that interrupted projection, it is because the map was skewed in order to make a curved surface lie flat.
How does this exercise fit into tetraspace theories?