The square tilling is a plane filled with squares. It has a Schlafli symbol of .
The square tilling is a very common tilling. You must use hexagons to have a less boring tilling.
Colourings Edit
There are nine different uniform colourings of the square tiling (in which the colours around each vertex are the same).
The following numbers label the colours around each vertex clockwise (for example "1212" shows that as you go clockwise around a vertex you find a square with colour 1, then colour 2, then colour 1, then colour 2 again, then it repeats).
The nine uniform colourings are:
- 1111
- 1212
- 1213
- 1122
- 1234
- 2 types of 1112
- 2 types of 1123
Subfacets Edit
- Infinite points (0D)
- Infinite line segments (1D)
- Infinite squares (2D)
See AlsoEdit
Regular Hypercubic Tilings Edit
- Apeirogon
- Square Tiling
- Cubic Tiling
- Tesseractic Tiling
- Penteractic Tiling
Uniform Shapes with the Same Faces Edit
Uniform Shapes with the Same Faces per Vertex Edit
- Square Hosohedron (four digons around each vertex)
- Octahedron (four triangles around each vertex)