In geometry, the **square tiling** or **square grid** is a regular tiling of the Euclidean plane. It has SchlĂ¤fli symbol of {4,4}, meaning it has *4* squares around every vertex.

Conway calls it a **quadrille**.

The internal angle of the square is 90 degrees so four squares at a point make a full 360 degrees. It is one of three regular tilings of the plane. The other two are the triangular tiling and the hexagonal tiling.

Read more about Square Tiling: Uniform Colorings, Related Polyhedra and Tilings, Wythoff Constructions From Square Tiling, Quadrilateral Tiling Variations, Circle Packing, See Also

### Other articles related to "tilings, square tiling, tiling, square, squares":

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**tilings**(Platonic and Archimedean) Vertex figure Wythoff symbol(s) Symmetry group Coxeter-Dynkin diagram(s) Dual-uniform

**tilings**(called Laves or Catalan

**tilings**)

**Square tiling**(quadrille) 4.4.4.4 (or ...

... These rhombi may be joined together to form a

**tiling**of a convex polygon in the case of an arrangement of finitely many lines, or of the entire plane in the case of a locally finite arrangement with ... For two perpendicular families of parallel lines this construction just gives the familiar

**square tiling**of the plane, and for three families of ... However, for more families of lines this construction produces aperiodic

**tilings**...

... Only eleven of these can occur in a uniform

**tiling**of regular polygons ... With 3 polygons at a vertex 3.7.42 (cannot appear in any

**tiling**of regular polygons) 3.8.24 (cannot appear in any

**tiling**of regular polygons) 3.9.18 (cannot appear in any

**tiling**of. 3.6.3.6 - semi-regular, trihexagonal

**tiling**44 - regular,

**square tiling**3.42.6 - not uniform, has vertices 3.42.6 and 3.6.3.6 ...

**Square Tiling**

... The snub

**square tiling**can be constructed as a snub operation from the

**square tiling**, or as an alternate truncation from the truncated

**square tiling**... In this case starting with a truncated

**square tiling**with 2 octagons and 1

**square**per vertex, the octagon faces into

**squares**, and the

**square**faces degenerate into edges and 2 new triangles appear at the ... If the original

**tiling**is made of regular faces the new triangles will be isosceles ...

**Square Tiling**- See Also

... Checkerboard List of regular polytopes List of uniform

**tilings**Square lattice

**Tilings**of regular polygons ...

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—Henry David Thoreau (1817–1862)