List of uniform planar tilings

From Freepedia

This table shows the 11 uniform tilings of the plane, and their dual tilings.

There are three regular, and eight semiregular, tilings in the plane. The semiregular tilings form new tilings from their duals, each made from one type of irregular face.

Uniform tilings are listed by the sequence of faces that exist on each vertex. For example 4.8.8 means one square and two octagons on a vertex.

Dual tilings are listed by the number of faces at each vertex of a tile. For example V4.8.8 means isosceles triangle tiles with one corner with 4 triangles, and two corners containing 8 triangles.

Uniform tiling Dual tiling
Image:Tile333333bc.gif
3.3.3.3.3.3
Triangular tiling
Image:Tile666bc.gif
6.6.6
Hexagonal tiling
Image:Tile4444bc.gif
4.4.4.4
Square tiling
Image:Tile4444bc.gif
4.4.4.4
Square tiling
Image:Tile666bc.gif
6.6.6
Hexagonal tiling
Image:Tile333333bc.gif
3.3.3.3.3.3
Triangular tiling
Image:Tile33336bc.gif
3.3.3.3.6
Snub hexagonal tiling
Image:Tile33336-dual.png
V3.3.3.3.6
Floret pentagonal tiling
Image:Tile3636bc.gif
3.6.3.6
Trihexagonal tiling
Image:DualTile3636.png
V3.6.3.6
Quasiregular_rhombic_tiling
Image:Tile33344bc.gif
3.3.3.4.4
Prismatic trisquare tiling
Image:Tile33344-dual.png
V3.3.3.4.4
Prismatic pentagonal tiling
Image:Tile33434bc.gif
3.3.4.3.4
Snub square tiling
Image:Tile33434-dual.png
V3.3.4.3.4
Cairo pentagonal tiling
Image:Tile3464bc.gif
3.4.6.4
Small rhombitrihexagonal tiling
Image:Deltoidal trihexagonal tiling.png
V3.4.6.4
Deltoidal trihexagonal tiling
Image:Tile488bc.gif
4.8.8
Truncated square tiling
Image:Tetrakis square tiling.png
V4.8.8
Tetrakis square tiling
Image:Tile3ttbc.gif
3.12.12
Truncated hexagonal tiling
Image:Triakis triangular tiling.png
V3.12.12
Triakis triangular tiling
Image:Tile46tbc.gif
4.6.12
Great rhombitrihexagonal tiling
Image:Hexakis triangular tiling.png
V4.6.12
Hexakis triangular tiling

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