# Square-hemiapeirogonal tiling

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

Rank | 3 |

Type | Uniform |

Space | Euclidean |

Notation | |

Bowers style acronym | Sha |

Coxeter diagram | x4/3o4x∞*a () |

Elements | |

Faces | MN squares, 4N apeirogons |

Edges | 4MN |

Vertices | 2MN |

Vertex figure | Bowtie, edge lengths √2, 2 |

Related polytopes | |

Army | Squat |

Regiment | Squat |

Conjugate | None |

Abstract & topological properties | |

Orientable | Yes |

Genus | ∞ |

Properties | |

Symmetry | R_{3} |

Convex | No |

Nature | Tame |

The **square-hemiapeirogonal tiling**, or **sha**, is a nonconvex uniform tiling of the Euclidean plane. 2 squares and 2 apeirogons join at each vertex of this tiling.

It is based on the same edge set as the square tiling, while only using half of its squares, such that no two squares share a common edge.

## External links[edit | edit source]

- Klitzing, Richard. "sha".

- McNeill, Jim. "Infinite and Semi".