# 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.

For example, this Archimedean coloring (left) of a triangular tiling has two colors, but requires 4 unique colors by symmetry positions and become a 2-uniform coloring (right):