# Square tetrambitriate

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Square tetrambitriate | |
---|---|

Rank | 4 |

Type | Isotopic |

Space | Spherical |

Elements | |

Cells | 32 wedges |

Faces | 32 isosceles triangles, 32 isosceles trapezoids, 16 squares |

Edges | 8+32+32 |

Vertices | 8+16 |

Vertex figure | 16 digonal scalenohedra, 8 square tegums |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Square ditetragoltriate |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | B_{2}≀S_{2}, order 128 |

Convex | Yes |

Nature | Tame |

The **square tetrambitriate**, also known as the **8-3 quadrigyrochoron**, is a convex isochoric polychoron and member of the tetrambitriate family with 32 wedges as cells. It is the first in an infinite family of isochoric square tegmatic swirlchora.

Each cell of this polychoron has rectangular pyramidal symmetry, with 1 square, 2 isosceles trapezoids, and 2 isosceles triangles for faces.