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...

and two octagons on a vertex. These 11 uniform tilings have 32 different uniform colorings. A uniform coloring allows identical sided polygons at a vertex...

uniform coloring of a truncated trihexagonal tiling, with faces colored by polygon sides. A 2-uniform coloring has two colors of hexagons. 3-uniform colorings...

{2}}} , 2 3 {\displaystyle {\sqrt {\tfrac {2}{3}}}} . There are 3 uniform colorings of the octahedron, named by the triangular face colors going around...

only one uniform coloring in a rhombitrihexagonal tiling. (Naming the colors by indices around a vertex (3.4.6.4): 1232.) With edge-colorings there is...

triangular tiling and the hexagonal tiling. There are 9 distinct uniform colorings of a square tiling. Naming the colors by indices on the 4 squares...

symmetry. There is only one uniform coloring of the faces of this polyhedron, one color for each face type. A 2-uniform coloring, with tetrahedral symmetry...

euclidean plane with various symmetry arrangements. There is a second uniform coloring by reflectional symmetry of the Coxeter groups, the second seen with...

regular and 8 semiregular tilings in the plane. There is only one uniform coloring of a truncated hexagonal tiling. (Naming the colors by indices around...

the square tiling and the hexagonal tiling. There are 9 distinct uniform colorings of a triangular tiling. (Naming the colors by indices on the 6 triangles...