How to find the minimum height and width of a cylinder containing n identical spheres?
$\begingroup$
$\endgroup$
2
-
2$\begingroup$ I misjudged this question. As asked, it is trivial, but Joseph O'Rourke's answer indicates that there is an interesting question in the background. $\endgroup$– Daniel MoskovichCommented Feb 14, 2013 at 14:35
-
1$\begingroup$ See the literature on "the sausage conjecture". $\endgroup$– Gerry MyersonCommented Mar 17, 2016 at 22:35
Add a comment
|
1 Answer
$\begingroup$
$\endgroup$
1
Here is a 2012 paper whose references (and its now [Aug 2017] 26 subsequent citations) will lead you to literature on this topic:
A. Mughal, H. K. Chan, D. Weaire, and S. Hutzler. "Dense packings of spheres in cylinders: Simulations" Phys. Rev. E 85, 051305 (2012). (Journal link)
-
2$\begingroup$ Another recent reference for simulation is L. Fu, William Steinhardt, H. Zhao, J.E.S. Socolarb and P. Charbonneau "Hard sphere packings within cylinders" Soft Matter, 2016,12, 2505-2514 journal link $\endgroup$ Commented Mar 17, 2016 at 20:24