# Kisrhombille tiling

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Kisrhombille tiling | |
---|---|

Rank | 3 |

Type | Uniform dual |

Space | Euclidean |

Notation | |

Coxeter diagram | m6m3m () |

Elements | |

Faces | 12N scalene triangles |

Edges | 6N+6N+6N |

Vertices | N+2N+3N |

Vertex figure | N dodecagons, 2N hexagons, 3N squares |

Related polytopes | |

Dual | Great rhombitrihexagonal tiling |

Conjugate | Great kisrhombille tiling |

Abstract & topological properties | |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | V_{3} |

Convex | Yes |

Nature | Tame |

The **kisrhombille tiling** is an isohedral tiling with scalene triangles for faces, joining 4, 6, or 12 to a vertex. It is the dual of the uniform great rhombitrihexagonal tiling.

Each face of this tiling is a right triangle. If the shortest edges have length 1, the medium edges have length and the longest edges have length . These triangles have angles measuring 30°, 60°, and 90°.

## External links[edit | edit source]

- Wikipedia contributors. "Kisrhombille tiling".