Black-eye patterns: a
representation of three-dimensional symmetries in thin domains
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