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Square tiling

The square tilling is a plane filled with squares. It has a Schlafli symbol of \{ 4,4\}.

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

See AlsoEdit

Regular Hypercubic Tilings Edit

Uniform Shapes with the Same Faces Edit

Uniform Shapes with the Same Faces per Vertex Edit

Uniform Tilings Edit

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