i was daydreaming in class today and i came through something that i was quite unable to prove on my own ... i am not sure if it's fully related to math or physics but here it is , it's no big deal . imagine you have a point in 3 dimensional space . and a number N of objects of Random volumes and shapes placed at random positions in the 3 dimensional space . now imagine that there is a force that will pull all the objects to that single point as if it accumulating them on top of they each other all around that point . as if the point has infinite gravity . after all the objects are accumulated on the point and everything reaches a stable state where no object is moving . a new object S is formed , where S is the object made by the accumulation of all the objects around the point . i want to prove that if N -> oo then S is a perfect sphere .