What is believed to be 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 occur in two-dimensional domains was observed—the black-eye pattern. In this paper we use the full three-dimensionality of the patterned layer to find a setting where black-eye patterns naturally occur. We propose that black-eye patterns have the symmetry of a body-centered-cubic lattice.

• Received 2 November 1998

DOI:https://doi.org/10.1103/PhysRevE.60.3741