# Square tiling

## Regular tiling of the Euclidean plane / From Wikipedia, the free encyclopedia

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In geometry, the **square tiling**, **square tessellation** 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 called it a **quadrille**.

Regular tiling of the Euclidean plane

**Table info: Square tiling...**▼

Square tiling | |
---|---|

Type | Regular tiling |

Vertex configuration | 4.4.4.4 (or 4^{4}) |

Face configuration | V4.4.4.4 (or V4^{4}) |

Schläfli symbol(s) | {4,4} {∞}×{∞} |

Wythoff symbol(s) | 4 | 2 4 |

Coxeter diagram(s) | |

Symmetry | p4m, [4,4], (*442) |

Rotation symmetry | p4, [4,4]^{+}, (442) |

Dual | self-dual |

Properties | Vertex-transitive, edge-transitive, face-transitive |

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.