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We investigate several non-universal percolation properties on this lattice using Monte Carlo simulation. We show that the percolation threshold is $p_c^\\text{bond}=0.186\\;02\\pm0.000\\;02$ for bonds and $p_c^\\text{site}=0.262\\;40\\pm0.000\\;05$ for sites. The number of clusters at the threshold per site is $n_c^\\text{bond}=0.284\\;58\\pm0.000\\;05$ and $n_c^\\text{site}=0.039\\;98\\pm0.000\\;05$. 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J. Herrmann, K. J. Schrenk, N. A. M. Araujo","submitted_at":"2013-02-03T12:46:13Z","abstract_excerpt":"The stacked triangular lattice has the shape of a triangular prism. In spite of being considered frequently in solid state physics and materials science, its percolation properties have received few attention. We investigate several non-universal percolation properties on this lattice using Monte Carlo simulation. We show that the percolation threshold is $p_c^\\text{bond}=0.186\\;02\\pm0.000\\;02$ for bonds and $p_c^\\text{site}=0.262\\;40\\pm0.000\\;05$ for sites. The number of clusters at the threshold per site is $n_c^\\text{bond}=0.284\\;58\\pm0.000\\;05$ and $n_c^\\text{site}=0.039\\;98\\pm0.000\\;05$. 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