# Great cupolic cubitesseractihexadecachoron

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Great cupolic cubitesseractihexadecachoron | |
---|---|

Rank | 4 |

Type | Scaliform |

Space | Spherical |

Notation | |

Bowers style acronym | Gacucoth |

Elements | |

Cells | 16 tet 8+16 cube 16 rasquacu (as 8 compounds of 2) |

Faces | 64 triangles 16+32+64 squares 8 octagrams |

Edges | 32+64 3-fold 64 4-fold 32 5-fold |

Vertices | 64 |

Vertex figure | Faceting of triangular podium |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Tat |

Regiment | Gittith |

Conjugate | Small cupolic cubitesseractihexadecachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | B_{2}≀S_{2}, order 128 |

Convex | No |

Nature | Wild |

The **great cupolic cubitesseractihexadecachoron** or **gacucoth** is a scaliform polychoron that consists of 16 tetrahedra, 8+16 cubes, and 16 retrograde square cupolas which are in pairs that are a blend of a quasirhombicuboctahedron with an octagrammic prism. 1 tetrahedron, 3 cubes, and 3 retrograde square cupolas meet each vertex.

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S16).