Black-eye patterns: a
representation of three-dimensional symmetries in thin domains
Abstract
The first experimental evidence for Turing patterns was
observed in the CIMA reaction by De Kepper and colleagues.
Ouyang and Swinney performed further experiments in a "thin"
layer of gel. Patterns observed at onset were basically
two-dimensional. However, beyond onset a structure that does
not typically occure in two-dimensional domains was observed -
the black-eye pattern. In this letter we use the full
three-dimensionality of the patterned layer to find a setting
where black-eye patterns naturally occure. We propose that
black-eye patterns have the symmetry of a body centered cubic
lattice.
47.54.+r,02.20.Qs,47.20.Ky,82.40.Ck