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Spacetime is 4D (3 dimensions of space plus 1 dimension of time). Since it is hard to draw a 4D figure to show how gravity affects it, for visualisation purposes things are simplified down usually to 2 dimensions.
Wow that seems like the long & difficult way around. Ppl used to say I was a human calculator. I try to simplify things so instantly I say what is the difference between 3.33 & the round number 4.00. Well. 67. Then I do the much simpler equation 5.22-4=1.22 then i add 1.22+.67=1.89 but that all happens in a fraction of a second.
I picked up a book called Eon just because of a cool looking cover and it touches on this stuff in a wonderful way. I wonder if it's popular among physics or mathematical scientists. It's written by Greg Bear.