# Great hexadecadisoctachoron

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Great hexadecadisoctachoron | |
---|---|

Rank | 4 |

Type | Scaliform |

Space | Spherical |

Notation | |

Bowers style acronym | Shado |

Elements | |

Cells | 16 tet 8 cube 8 gocco⊕stop |

Faces | 64 triangles 16+32 squares 16 octagrams |

Edges | 128 3-fold 32 4-fold |

Vertices | 64 |

Vertex figure | Skew trapezoidal pyramid |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Tat |

Regiment | Gittith subregiment |

Conjugate | Small hexadecadisoctachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | B_{2}≀S_{2}, order 128 |

Convex | No |

Nature | Tame |

The **great hexadecadisoctachoron** or **gahdo** is a scaliform polychoron that consists of 16 tetrahedra, 8 cubes, and 8 blends of great cubicuboctahedron and octagrammic prism. 1 tetrahedron, 1 cube, and 3 blends meet at each vertex.

It can be formed as a blend of a great tesseractitesseractihexadecachoron and an octagrammic diorthoprism.

This polychoron is in a subregiment of gittith, as it has its vertices and some but not all of its edges.

## External links[edit | edit source]

- Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S18).