Verse and Dimensions Wikia
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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.

Colorings

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

Subfacets

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

Regular
Rectified
Birectified
Truncated
Bitruncated
Cantellated
Cantitruncated
Square tiling Square tiling Square tiling Truncated square tiling Truncated square tiling Square tiling Truncated square tiling
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