Square Tiling

In geometry, the square tiling or square grid is a regular tiling of the Euclidean plane. It has Schläfli 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":

List Of Uniform Tilings - Convex Uniform Tilings of The Euclidean Plane - The Group Family
... Uniform 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) (or ...
Arrangement Of Lines - Multigrids and Penrose Tilings
... 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 ...
Tiling By Regular Polygons - Combinations of Regular Polygons That Can Meet At A Vertex
... 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. - semi-regular, trihexagonal tiling 44 - regular, square tiling 3.42.6 - not uniform, has vertices 3.42.6 and ...
Snub 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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