# Skewed wedge

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Skewed wedge | |
---|---|

Rank | 3 |

Space | Spherical |

Notation | |

Coxeter diagram | xxx&#x |

Elements | |

Faces | 2 scalene triangles, 1+1+1 isosceles trapezoids |

Edges | 1+1+1+2+2+2 |

Vertices | 2+2+2 |

Vertex figure | 2+2+2 scalene triangles |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Scalene notch |

Abstract & topological properties | |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | A1×I×I, order 2 |

Convex | Yes |

Nature | Tame |

A **skewed wedge** is a variation on the standard wedge with the isosceles triangles being turned into scalene triangles. It therefore has 2 identical scalene triangles and 3 different trapezoids as faces.

## In vertex figures[edit | edit source]

Four uniform polychora have skewed wedges for vertex figures, namely the small skewverted prismatohexadecadisoctachoron, great skewverted hexacositrishecatonicosachoron, small skewverted prismatotrishecatonicosachoron, and small skewverted ditrigonal prismatohexacosidishecatonicosachoron.