One of the problems that is attractive is what happens to a collection of mass when these masses are put together? And anybody who likes to makes drawings finds himself attracted by the idea that the spherical region of space around a particle or a mass must have an influence on another mass and the spherical region of space around it. If you bring the two together then you have to think of a plane between the two which is halfway where the two influences balance each other. That's all right on one side, but if you bring another particle by, at another plane, and these plains can be arranged to be sufficiently numerous and sufficiently regular so as to approximate, in themselves, a sphere. So although we started out with a sphere, and bit by bit we got away from this sphere by bringing other masses nearby, in the end we could come back to a sphere by having these masses planted around sufficiently uniformly so that this polyhedral surface is a good approximation to a sphere. This gives one a new way to analyze the approach of particles and the collapse of matter into a black hole.