# Rectangular frustum

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Rectangular frustum | |
---|---|

Rank | 3 |

Notation | |

Bowers style acronym | Rectif |

Coxeter diagram | ab cd&#e |

Elements | |

Faces | 1+1 rectangles, 2+2 isosceles trapezoids |

Edges | 2+2+2+2+4 |

Vertices | 4+4 |

Vertex figure | Scalene triangle |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Digonal scalenohedron |

Abstract & topological properties | |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | A_{1}×A_{1}×I, order 4 |

Convex | Yes |

Nature | Tame |

The **rectangular frustum** or **rectif** is a variant of the cube with digonal pyramidal symmetry. It has 2 opposite rectangles of different sizes as bases connected by 2+2 isosceles trapezoids in 2 pairs.

## In vertex figures[edit | edit source]

A rectangular frustum with one base a square of edge length 1, the other base a rectangle with edge lengths and , and lacing edges of length occurs as the vertex figure of the antifrustary hexacositrishecatonicosachoron.