I know that the problem of finding out how many spheres can fit in a cube is a commonly asked and well documented one, but I am struggling to find anything on the inverse of the problem, namely:
How many cubes of a certain
Length x Width x Height
fit in a sphere of a certain radius?
As in the spheres-in-a cube problem I am sure it depends on the stacking method but I was wondering if there might also be an optimum as given by the Kepler problem.
I would also then like to expand the analogy to the amount of spheres that can fit in a cylinder of certain diameter and length.
Any insight into the problem will be appreciated, thanks!