The alignment of clusters of galaxies with their nearest neighbours and
between clusters within a supercluster is investigated using simulations of
512^{3} dark matter particles for \LambdaCDM and \tauCDM cosmological models.
Strongly significant alignments are found for separations of up to 15h^{-1}Mpc
in both cosmologies, but for the \LambdaCDM model the alignments extend up to
separations of 30h^{-1}Mpc. The effect is strongest for nearest neighbours, but
is not significant enough to be useful as an observational discriminant between
cosmologies. As a check of whether this difference in alignments is present in
other cosmologies, smaller simulations with 256^{3} particles are investigated
for 4 different cosmological models. Because of poor number statistics, only
the standard CDM model shows indications of having different alignments from
the other models.Comment: 6 pages, 5 figures Submitted to MNRA