  Extensive Monte-Carlo simulations were performed in order to determine the
precise values of the critical thresholds for site ($p^{hcp}_{c,S} = 0.199 255
5 \pm 0.000 001 0$) and bond ($p^{hcp}_{c,B} = 0.120 164 0 \pm 0.000 001 0$)
percolation on the hcp lattice to compare with previous precise measuremens on
the fcc lattice. Also, exact enumeration of the hcp and fcc lattices was
performed and yielded generating functions and series for the zeroth, first,
and second moments of both lattices. When these series and the values of $p_c$
are compared to those for the fcc lattice, it is apparent that the site
percolation thresholds are different; however, the bond percolation thresholds
are equal within error bars, and the series only differ slightly in the higher
order terms, suggesting the actual values are very close to each other, if not
identical.
