Hi Don,
From what I have read, the random congruent sphere packing is not a trivial problem.
http://neams.rpi.edu/jiw2/papers/2013_04_JCP_QDM.pdf
A google search of "Ho-Kei Chan" shows several papers, but they involve containers which are skinny cylinders.
A google search of "Mhand Hifi" yields several papers, with actual Algorithm code.
- Brian
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