# Square antitegum

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Square antitegum | |
---|---|

Rank | 3 |

Type | Uniform dual |

Space | Spherical |

Bowers style acronym | Squate |

Info | |

Coxeter diagram | p2p4p |

Symmetry | I2(8)×A1+, order 16 |

Army | Squate |

Regiment | Squate |

Elements | |

Vertex figure | 2 squares, 8 triangles |

Faces | 8 kites |

Edges | 8+8 |

Vertices | 2+8 |

Measures (edge length 1) | |

Dihedral angle | |

Central density | 1 |

Euler characteristic | 2 |

Related polytopes | |

Dual | Square antiprism |

Conjugate | Square antitegum |

Properties | |

Convex | Yes |

Orientable | Yes |

Nature | Tame |

The **square antitegum** or **squate**, also known as the **tetragonal trapezohedron**, is an antitegum based on the square, constructed as the dual of a square antiprism. It has 8 kites as faces, with 2 order–4 and 8 order–3 vertices. .

Each face of this polyhedron is a kite with its longer edges times the length of its shorter edges.

## External links[edit | edit source]

- Wikipedia Contributors. "Tetragonal trapezohedron".

- McCooey, David. "Tetragonal Trapezohedron"