Sunday, July 22, 2012 6:54:28 PM
@MacGuffin: I have written software that allows one to visualise true 4-d objects in 3-d using 3-d glasses. I have spent a good amount of time over the last 30 years working on it, and I have gained a solid understanding of 4-d geometry in the process.
Saturday, July 21, 2012 1:26:05 PM
@MacGuffin--a 4-d Klein Surface would not show an intersection and would rotate without any flattening.
This is a matter of some expertise for me. Again, this is a *3D projection* of a 4D Klein Bottle. Nobody is saying that it is the 4D object itself. If it was, we'd be unable to perceive it, since we live in 3D.
I guess it`s not that much of an area of expertise for you, or you`d be able to understand that simple concept.