# Octagonal tetrambitriate

The **octagonal tetrambitriate** is a convex isochoric polychoron and member of the tetrambitriate family with 128 wedges as cells. It is the first in an infinite family of isochoric octagonal tegmatic swirlchora.

Octagonal tetrambitriate | |
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Rank | 4 |

Type | Isotopic |

Elements | |

Cells | 128 wedges |

Faces | 128 isosceles triangles, 128 isosceles trapezoids, 64 squares |

Edges | 16+128+128 |

Vertices | 16+64 |

Vertex figure | 64 digonal scalenohedra, 16 octagonal tegums |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Octagonal ditetragoltriate |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(8)≀S_{2}, order 512 |

Convex | Yes |

Nature | Tame |

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

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