title: Black-eye patterns: a representation of three-dimensional symmetries in thin domains.
abstract: 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.
authors.affiliation: Centro de Matemática Aplicada, Universidade do Porto, Rua das Taipas 135, 4050 Porto, Portugal.
authors.forename: M G
authors.initials: MG
authors.lastname: Gomes