Imagine you have a bowling ball without a finger hole so it's smooth all around
then you take a bunch of small spherical marbles all of the same size and cover them each in glue.
Then you stick each marble on the ball, covering the entire ball while keeping each marble pushed up against adjacent marbles so there is the smallest possible gap between marbles.
At the end of this process you will find that there is some small gap that is just too small to fit another marble, but which is noticeably bigger than the tiny gaps between all the other marbles.
My question is, is there some magic relationship where a certain diameter marble would fit perfectly or nearly perfectly on a certain diameter bowling ball without a finger hole?
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