  We calculated a four-point correlation function G_4(k,r;t) and the
corresponding structure factor S_4(k,q;t) for a model glass-forming binary
mixture. These functions measure the spatial correlations of the relaxation of
different particles. We found that these four-point functions are anisotropic
and depend on the angle between vectors k and r (or q). The anisotropy is the
strongest for times somewhat longer than the beta relaxation time but it is
quite pronounced even for times comparable to the alpha relaxation time,
tau_alpha. At the lowest temperatures S_4(k,q;tau_alpha) is strongly
anisotropic even for the smallest wavevector q accessible in our simulation.
