# Octagonal duotransitionaltertegum

The **octagonal duotransitionaltertegum** is a convex isochoric polychoron and member of the duotransitionaltertegum family with 256 kite pyramids as cells.

Octagonal duotransitionaltertegum | |
---|---|

Rank | 4 |

Type | Isotopic |

Elements | |

Cells | 256 kite pyramids |

Faces | 256 scalene triangles, 256 isosceles triangles, 128 kites |

Edges | 32+64+128+256 |

Vertices | 16+16+64 |

Vertex figure | 16 vertical-laterobisected joined octagonal prisms, 16 octagonal tegums, 64 digonal scalenohedra |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Octagonal duotransitionalterprism |

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 mirror symmetry, with 1 kite, 2 isosceles triangles, and 2 scalene triangles for faces.