Geodesic
Directional percolation of dimer on simple cubic lattice
Matematičeskoe modelirovanie, Tome 21 (2009) no. 8, pp. 100-107

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We consider the model dimer (extended objects of the size 2) of site directional percolation on simple cubic lattice. The percolation threshold is estimated as $p_c=0.27961\pm0.00004$ for unidirectional percolation problem, and $p_c=0.26192\pm0.00004$ for bidirectional percolation problem. The jamming threshold is estimated as $p_\mathrm{jam}=0.827\pm0.002$ for unidirectional percolation problem, and $p_\mathrm{jam}=0.839\pm0.001$ for bidirectional percolation problem. 
@article{MM_2009_21_8_a8,
     author = {V. A. Cherkasova and Yu. Yu. Tarasevich},
     title = {Directional percolation of dimer on simple cubic lattice},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {100--107},
     publisher = {mathdoc},
     volume = {21},
     number = {8},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_8_a8/}
}
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V. A. Cherkasova; Yu. Yu. Tarasevich. Directional percolation of dimer on simple cubic lattice. Matematičeskoe modelirovanie, Tome 21 (2009) no. 8, pp. 100-107. http://geodesic.mathdoc.fr/item/MM_2009_21_8_a8/