Uniform coloring

In geometry, a uniform coloring is a property of a uniform figure (uniform tiling or uniform polyhedron) that is colored to be vertex-transitive. Different symmetries can be expressed on the same geometric figure with the faces following different uniform color patterns. A uniform coloring can be specified by listing the different colors with indices around a vertex figure. In addition, an n-uniform coloring is a property of a uniform figure which has n types vertex figure, that are collectively vertex transitive. A related term is Archimedean color requires one vertex figure coloring repeated in a periodic arrangement. A more general term are k-Archimedean colorings which count k distinctly colored vertex figures.