We exist in the third dimension. You have infinitely thin paper in the second dimension. In the first dimension all you have is an infinitely thin, infinitely short, infinitely wide line.
In the dimension, there can only be 1 point, that is infinitely thin, short, and cramped. However, because there is only 1 single point, and no other, everything must exist at that point, whether a 1 dimensional, 2 dimensional, or 3 dimensional being. Because of that, we all share at least 1 point in the universe, with everything.
Update: I have since realized that we would not share one point in common -- we are comprised of many different points, thus of many different 0th dimensions. If we were all forced to fit inside a 0th dimensional space; then we would all share a point in common.