I'm taking a basic physics class and the teacher described space with a special table that has curves and black holes etc. He would throw a metal ball down onto it and the class would watch it circle around a black hole and this showed the warping of space.
The instructor said that it is actually more like a table cloth because the ball would cause a warping as well.
The problem I have is transferring this image of 3d objects on a warped 2d plane to actual actual space.
Another way to look at my dilemma: There is space above the 3d object on the table, and on the sides of it. If we were on the 3d object and left if in any direct but down, we would be in space, but how is this space described? I can only picture the one "bottom" portion of space.
Help me understand the rest.