Patterns in natural systems abound, from the stripes on a zebra to ripples
in a riverbed. In many of these systems, the appearance of an ordered state
is not unexpected as the outcome of an underlying ordered process. Thus cr
ystal growth, honeycomb manufacture and floret evolution generate regular a
nd predictable patterns. Intrinsically noisy and disordered processes such
as thermal fluctuations or mechanically randomized scattering generate surp
risingly similar patterns. Here we discuss some of the underlying mechanism
s believed to be at the heart of these similarities.