# Continuum percolation threshold for interpenetrating squares and cubes.

@article{Baker2002ContinuumPT, title={Continuum percolation threshold for interpenetrating squares and cubes.}, author={Don R. Baker and Gerald Paul and Sameet Sreenivasan and Harry Eugene Stanley}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2002}, volume={66 4 Pt 2}, pages={ 046136 } }

Monte Carlo simulations are performed to determine the critical percolation threshold for interpenetrating square objects in two dimensions and cubic objects in three dimensions. Simulations are performed for two cases: (i) objects whose edges are aligned parallel to one another and (ii) randomly oriented objects. For squares whose edges are aligned, the critical area fraction at the percolation threshold phi(c)=0.6666+/-0.0004, while for randomly oriented squares phi(c)=0.6254+/-0.0002, 6…

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