  We monitor the transformation of a liquid into an amorphous solid in
simulations of a glass forming liquid by measuring the variation of a
structural order parameter with either changing temperature or potential energy
to establish the influence of the cooling rate on amorphous solidification. We
show that the latter representation, unlike the former, exhibits no significant
dependence on cooling rate. This independence extends to the limit of
instantaneous quenches which we find can accurately reproduce the
solidification observed during slow cooling. We conclude that amorphous
solidification is an expression of the topography of the energy landscape and
present the relevant topographic measures.
