List of Euclidean uniform tilings

A uniform coloring allows identical sided polygons at a vertex to be colored differently, while still maintaining vertex-uniformity and transformational congruence between vertices.

The Laves tilings have vertices at the centers of the regular polygons, and edges connecting centers of regular polygons that share an edge.

This includes the 3 regular tiles (triangle, square and hexagon) and 8 irregular ones.

All reflectional forms can be made by Wythoff constructions, represented by Wythoff symbols, or Coxeter-Dynkin diagrams, each operating upon one of three Schwarz triangle (4,4,2), (6,3,2), or (3,3,3), with symmetry represented by Coxeter groups: [4,4], [6,3], or [3[3]].

Alternated forms such as the snub can also be represented by special markups within each system.

If the domain is square, this symmetry can be doubled by a diagonal mirror into the [4,4] family.