  A solid is typically deemed amorphous when there are no Bragg peaks in its
diffraction pattern. We discuss a two dimensional configuration of Ising spins
with an autocorrelation function which vanishes at all nonzero distances, so
that its scattering pattern is flat. This configuration is a ground state of a
Hamiltonian with deterministic, translationally-invariant and finite range
interactions. Despite ostensibly being amorphous, this configuration has
perfect underlying order. The finite temperature behavior of this model
exhibits ordering transitions at successively larger length scales.
