Percolation thresholds on three-dimensional lattices with three nearest neighbors

@article{Tran2012PercolationTO,
  title={Percolation thresholds on three-dimensional lattices with three nearest neighbors},
  author={Jonathan Tran and Ted Yoo and Shane Stahlheber and Alex Small},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2012},
  volume={2013}
}
We present a study of site and bond percolation on periodic lattices with three nearest neighbors per site. Essentially all previous studies of percolation in 3D have considered coordination numbers of 4 or higher, but 3-coordinated lattices have attracted recent interest for their unusual symmetries and relevance to self-assembled materials. We have considered four lattices, with different symmetries, different underlying Bravais lattices, and different degrees of longer-range connections. As… 

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