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Results tagged with packing-and-covering
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user 4558
8
votes
1
answer
700
views
Upper bound for tetrahedron packing?
There have been several recent advances on packing regular tetrahedra in $\mathbb{R}^3$. All the results I've seen have been lower bounds -- first John Conway and Sal Torquato showed that there exist …
- 7,857
10
votes
Accepted
Pennies on a carpet problem
This is the two-dimensional hard spheres model, sometimes called hard discs in a box.
See Section 4 of Persi Diaconis's recent survey article, The Markov Chain Monte Carlo Revolution. The point here …
- 7,857
4
votes
Accepted
Average degree of contact graph for balls in a box
Torquato and Stillinger have a recent survey article that discusses some questions like this: Jammed hard-particle packings: From Kepler to Bernal and beyond
They are particularly interested in rand …
- 7,857