I was watching a panel discussion on YouTube in which Neil DeGrasse Tyson made a very interesting remark about black holes. He said that we traditionally think of holes as indentations in a 2-D surface, such as a hole dug into the ground, and that it didn't make sense to imagine a hole floating in the room he was in, attached to nothing. But why don't we imagine just that: A hole, about the size of a beach ball, floating in the middle of a room. Would you just see a fuzzy black disk that appears the same from all angles, or would it be a fuzzy black sphere? Would you see bizarre geometric warping around its event horizon? If it was sufficiently small and you inserted say, a long stick into it, would you simply see nothing where the stick would be expected to poke through?