Verse and Dimensions Wikia
Verse and Dimensions Wikia

The square tiling is a regular tiling formed of a plane filled with squares. It has a Schläfli symbol of , as four squares join at each vertex. Its bowers acronym is squat.


There are nine different uniform colorings of the square tiling (in which the colors around each vertex are the same).

The following numbers label the colors around each vertex clockwise (for example "1212" shows that as you go clockwise around a vertex you find a square with color 1, then color 2, then color 1, then color 2 again, then it repeats).

The nine uniform colorings are:

  • 1111 - this is the regular form.
  • 1212 - this can be formed from the rectified square tiling, or .
  • 1213 - this can be formed as the cantellated square tiling or .
  • 1122
  • 1234
  • 2 types of 1112
  • 2 types of 1123


See Also

Regular Hypercubic Tilings

Uniform Shapes with the Same Faces

Square dihedron Cube Square tiling Order-5 square tiling Order-6 square tiling Order-7 square tiling Order-8 square tiling ... Infinite-order square tiling Imaginary-order square tiling

Uniform Shapes with the Same Faces per Vertex

Square hosohedron Octahedron Square tiling Order-4 pentagonal tiling Order-4 hexagonal tiling Order-4 heptagonal tiling Order-4 octagonal tiling ... Order-4 apeirogonal tiling Order-4 pseudogonal tiling

Uniform Tilings

Square tiling Square tiling Square tiling Truncated square tiling Truncated square tiling Square tiling Truncated square tiling